Zen Theory: An Exploration of Reality Via the Cycle of Change Between Binary Opposites.
Wednesday, February 5, 2014
Zen Theory: An Exploration of Space, Time, and Consciousness via the Cycle of Change Between Binary Opposites. By Kigen William Ekeson
Zen Theory: An Exploration of Space, Time, and Consciousness via the Cycle of Change Between Binary Opposites.
By Kigen William Ekeson
Abstract
In Zen Buddhism there exists a way of understanding how objective consciousness arises by describing the universe and everything in it in terms of a simultaneous interaction between two opposing functions. As an extended philosophical thought exercise, it will be shown how this approach can be used to create a topological model based on the Mobius strip. This model outlines a unified and logical way to understand everything from quantum entanglement and gravity, to objective consciousness in a way that can be organized through a progression of discrete levels of topological complexities. Finally, this model will be applied to the Double-slit experiment in order to present a new and logically coherent explanation for the quantum measurement problem.
1.1 Introduction
Albert
Einstein revolutionized our understanding of time and space when he discovered
that the causes and effects of any event couldn’t travel faster than the speed
of light. These ideas were first published in 1905 as The Special Theory of
Relativity (SR). One of the most useful and common tools for illustrating
SR's description of causality is a Minkowski space-time diagram (Fig.1). The
Minkowski space-time diagram is just a diagram depicting a set speed limit (the
speed of light) for how fast any classical-level event can be caused or can
affect anything else. Each light-cone illustrates a particular frame of
reference oriented to a specific
event. Differing frames of reference are often compared to each other in order
to help illustrate the relative differences brought
about due to the constancy of the speed of light. The diagram for each
frame of reference can be divided into four main parts: 1) the past light-cone
of an event, 2) the event itself, 3) the future-light cone of an event, and 4)
all of the remaining space- time "outside" of the light cones.
The past
light-cone of an event represents the history of all the previous causes
(moving at the speed of light or slower) that converge in order to create any
event. The future light-cone of an event represents all the effects
generated by a particular event, again limited by the speed of light. The event
itself in SR is represented by a point particle. A point particle is a
conceptual representation of an event whose size, shape, and structure are
irrelevant to its given relativistic context. For example, even a galaxy can be
considered and behave as a point-particle within the relativistic framework of
SR. When the history of a point-particle through time and space is
plotted, a world-line is formed (see Fig. 1) with each point along the
line having its own past and future light cone. The fourth part of a
space-time diagram includes everything outside of the past or future light
cones of an event existing in an “unknowable” or "causally
disconnected" state called a space-like separation. SR makes clear
that when something is in a state of space-like separation from a particular
event it should have no causal influence on that event whatsoever because in
order to do so, that influence would have to travel faster than the speed of
light. A classic example of this is that it takes light leaving the sun about
eight minutes to reach the earth. Until that sunlight hits us, according to SR,
the earth and sun exist in a state of space-like separation and can have
absolutely no causal impact on each other.
However, there is
another well-proven theory that raises some interesting complications about
basic ideas set forth in SR. That theory is called Quantum Mechanics (QM).
Soon after Einstein published his work at the beginning of the 20th century it
was correctly posited that at the quantum level of interactions certain causal
influences not only happen faster than light; they can happen instantaneously.
For example, it was experimentally shown that it is possible to split certain
fundamental particles into two, oppositely polarized sub-particles. If these
sub-particles are then separated by some distance and only one is changed in a
certain way, its separated half instantaneously reflects an equal and opposite
change regardless of the distance between them. This "spooky action at a
distance" (as it was labeled by Einstein) is a characteristic of what is
called quantum entanglement. Because at the instant that one of the
sub-particles is influenced they must (as defined in SR) be in a state of
space-like separation with respect to each other, they should not be able to
have any causal influence on each other...but they do! Furthermore, the mere
act of observing one of these separated opposites is enough to bring about a
corresponding causal change in the separated half. Trying to find a way to reconcile
the theoretical disparity between the “classical level” causality of SR and the
“spooky” behaviors of the quantum-level has proven to be very difficult and
persist even today. Up until a couple decades ago a shaky peace had existed
between these two great scientific theories by arguing (via the Copenhagen
Interpretation) that QM's instantaneous transfer of "influence"
(as opposed to a transfer of “true” information) belongs to another level of
reality entirely and that Quantum level influence has little or no direct
corollary in the large scaled classical-level (i.e. the non-quantum,
everyday world).
Why is
this instantaneous influence evident at the quantum level but not at the
classical level? Is it truly, as posited in the Copenhagen Interpretation,
because the quantum level operates by completely different rules than those of
our classical-level world, or is there some other more principled explanation?
An even more profound question is how is it that at the quantum-level, the
instantaneous physical influence mentioned above can be brought about through
the mere act of observation? What role does observation play within
causal processes? Is it merely as a passive, uninvolved witness, or does it somehow
play an active role within the cause and effect interactions of its
surroundings?
When
comparing various frames of reference to each other using Minkowski space-time
diagrams, we must always assume the role of a “detached” observer. Perhaps
there is no possible way to represent or account for the observer or the act of
observation within a typical space-time diagram because observation
requires some internalized contrast of information. Until we create a model that somehow depicts this
necessary internalized contrast of information within
the framework of a space-time diagram, we must continue to accept observation
(the only thing that can create a relativistic comparison) as a necessary yet
inexplicable assumption in S.R. What this paper suggests is that
although every object can be conceptualized and diagramed as a point particle,
in order to account for the action of observation within the system in a way
that is valid at both the classical and quantum levels requires a different
depiction of a space-time diagram.
1.2 A Different Approach
Simply
put; SR holds that every reference frame shares the exact same relationship relative
to the speed of light. This implies that no single reference frame is “correct”
relative to others. Therefore, the inverse should also be true; every reference
frame exists in some uniquely "true" state for itself relative
to the rest of time and space. In SR, the internal dynamics within any
historical event (i.e. every event expressed as a point-particle) are ignored
and focus is exclusively put on determining the relative differences of
perception that would occur between
different frames of reference. Conversely, the ZT approach will be to
completely ignore the relative differences of perception between
differing reference frames and instead identify and focus on a common principle
necessary to give rise to (and decay) the internal dynamics of any real
event in space-time. It is only by adopting such an approach that the
inclusion of any space defined by an internal contrast within the
causal model becomes possible. Therefore, one might describe the approach
presented in this paper as a kind of general theory of individuation.
1.3
Boundaries and Binary Opposites
In order to begin to model how individual real events occur within space-time within a space-time diagram, a simple set of postulates must be introduced. Using these we will attempt to reinterpret the basic Minkowski’s Space-time diagram in a way that ultimately allows for the phenomenon of observation to be identified within it.
In order to begin to model how individual real events occur within space-time within a space-time diagram, a simple set of postulates must be introduced. Using these we will attempt to reinterpret the basic Minkowski’s Space-time diagram in a way that ultimately allows for the phenomenon of observation to be identified within it.
The
postulates are:
First, there is an aspect of
something we call “reality” (for lack of a better word) that reflects our
experience of boundaries in time and space.
Second, All perceived physical
or mental boundaries within this reality change continuously over time.
Everything has motion (i.e. no bit of space can be completely lacking in
energy).
Third, Together with our
perception of changing boundaries, we have an aspect of our existence that
shares a common field of reality. Despite all boundaries within time and space,
the Cosmos is ultimately “one”.
If the experience of our
single universe somehow fosters the arising of distinctions within it, then the
simplest hypothetical distinction would be to posit a single contrast between
two conditional inverses that when taken together would include all of time and
space. For example, that table in front of you is the perfect and unique
inverse of everything that is not that table at this moment in time and
space (from any single frame of reference). The physical size or temporal
duration of any chosen set of conditional inverses is irrelevant because all
such variations when considered in this manner serve only to further define the
unique and perfect contrasting relationship between a "thing" and its
conditional inverse i.e. “not-that-thing”.
However,
such co-dependent polarities are not only limited to such an extreme example as
a particular thing contrasted to the rest of time and space. Any limited
boundary within time and space (i.e. real event) can likewise be
objectively isolated and internally sub-divided into a binary set of
conditional opposites which when taken together define the totality of that
real event. For example, our afore mentioned table can be divided into a left
side and right side, a specific period of time can be divided into the
beginning half and ending half, even a photon can be divided into "spin
up" and "spin down" opposites. ZT holds that all we need do to
define any spatially or temporally shared boundary is to identify some set of
binary opposites of which it is composed.
Of course, as events
become more and more complex, descriptive conditional opposites need not be
limited to only one pair. For example, there are a number of ways to identify a
particular circle (e.g. center and circumference or via any two conjugal
portions of that circle). However, within the context of this paper this
fundamental dichotomy as it exists at every level will be synonymously understood
as either a binary opposition or as conditional
opposites.
To satisfy
the second of our three postulates, both halves of any binary opposition must
be in a state of simultaneous change with respect to each other. Alternatively
put, for some action to happen it must always have some context within which to
do so. Thus both parts of any binary opposition have a gestalt-like
relationship and can also be alternately be understood as context and active
subject changing in perfect synchronicity with each other. By defining every
real event as being brought about through the simultaneous action of some pair
of binary opposites we are merely acknowledging the fact that no event can
occur that is unconditionally or completely independent from some co-dependent
context. For example, one cannot move the afore mentioned table forward even
the smallest amount without the context within which that table exists
simultaneously changing in some uniquely corresponding way.
Therefore,
as Einstein showed us, the speed for any particular entity to go
from Point A to Point B within some given context is indeed limited by the speed of light, but a simultaneous interaction between that entity and its
defining conditional context (most broadly described as its binary opposite) is
a necessary prerequisite in order to give rise to any speed at all.
Interestingly, what becomes clear once this action is identified is that this
simultaneous and complimentary causal action between binary opposites always
adheres to a uniform cycle of change (involving time and/or space). This cycle of change
between binary opposites (Fig. 2a) is illustrated and listed below. It is
followed by the corresponding reinterpretation of a Minkowski Space-time
Diagram (Fig. 2). The diagram simply expresses the idea that all real events
are created and model change through the simultaneous interaction between some
set of conditional inverses following a fundamental pattern.
The ZT Cycle of Change
Polarity I (Initial polarization of binary opposites)
Unification I (First unification of binary opposites)
Polarity II (“Switched” or "changed" polarization of binary opposites)
Unification II (Second unification of binary opposites)
Polarity III (Return to initial configuration of binary opposites)
1.4 Polarity I - A Simple Circle
In order to
exemplify the ZT cycle of change between binary opposites and how this cycle ultimately
allows for the arising of consciousness we have only to draw a circle. This
circle will represent any single shared boundary imaginable. Let us divide that
shared boundary into a binary pair by contrasting the perimeter of the circle
(radius = 1) with its center (at 0) (Fig. 2). Perimeter and center define both
the single circle they create as well as each other by way of their perfect
conditional co-dependence.
To illustrate the ZT cycle of change for our circle let the perimeter and center (i.e. 0 / 1) alternate their positions with respect to each other. Supposing that their alternation will happen at the speed of light, we will begin at the first polar extreme (Polarity I, Fig. 2). Since no direct contact (or communication) between the opposites has occurred at this point, neither opposite can observe the parameters of the total action in which they are engaged in. Such a pre-informational condition corresponds to the example of the space-like separation between the earth and the sun before its rays have reached us. The salient point here is that there is always a pre-informational binary condition (Polarity I) necessary to evolve into an informed binary condition. Thus, the ZT version of space-like separation would run something more along the lines of; a pre-informational relationship comprised of two conditionally inverted variables that together make up some dynamic shared boundary. The same contrast exemplified by the perimeter and its center, or the sun and earth, can also be identified in the relationship between the earth and any distant star, or between two sub-atomic particles.
1.5
Unification I
Continuing to the second stage for the cycle of change between binary opposites, there will come a point where the perimeter and center of the circle meet and perfectly unite (See Unification I, Fig. 2). At this point they become indistinguishable from each other; their binary relationship changes from one functionally characterized by pre- informational polarity to one characterized by pre-informational unification. Thus, in perfect contradistinction to usual denotation of an event in a Minkowski diagram, the point of convergence of causes within a particular ZT cycle represents the unique part of the cycle that is (from within the reference frame of that event) utterly incapable of being defined as a historical event because at that point, no contrast exists within their single shared boundary. One might also call this the point of maximum uncertainty in the ZT model. However, even though the union between opposites cannot be internally observed, any act of unification must still express some non-zero real spatial dimension (although that dimension will be meaningless from the perspective of the two opposites creating it). That is, at the exact point where two real conditional opposites come together (which is only truly possible to consider at the quantum-level because at macro-levels the opposites involve are made from compounded complexities), nothing can be measured from within that system of opposites. Consider the possible relation to the standard ideas of QED in the following excerpt from Richard Feynman (one of the fathers of Quantum Electro-Dynamics [QED]).
Continuing to the second stage for the cycle of change between binary opposites, there will come a point where the perimeter and center of the circle meet and perfectly unite (See Unification I, Fig. 2). At this point they become indistinguishable from each other; their binary relationship changes from one functionally characterized by pre- informational polarity to one characterized by pre-informational unification. Thus, in perfect contradistinction to usual denotation of an event in a Minkowski diagram, the point of convergence of causes within a particular ZT cycle represents the unique part of the cycle that is (from within the reference frame of that event) utterly incapable of being defined as a historical event because at that point, no contrast exists within their single shared boundary. One might also call this the point of maximum uncertainty in the ZT model. However, even though the union between opposites cannot be internally observed, any act of unification must still express some non-zero real spatial dimension (although that dimension will be meaningless from the perspective of the two opposites creating it). That is, at the exact point where two real conditional opposites come together (which is only truly possible to consider at the quantum-level because at macro-levels the opposites involve are made from compounded complexities), nothing can be measured from within that system of opposites. Consider the possible relation to the standard ideas of QED in the following excerpt from Richard Feynman (one of the fathers of Quantum Electro-Dynamics [QED]).
Feynman
writes; “When calculating terms with (subatomic) couplings, we must consider
(as always) all the possible points where couplings can occur, right down to
cases where the two coupling points are on top of each other – with zero
distance between them. The problem is, when we try to calculate all the way
down to zero distance, the equation blows up in our face and gives meaningless
answers – things like infinity...Perhaps the idea that two points can be
infinitely close together is wrong – the assumption that we can use geometry
down to the last notch is false.” (Feynman, QED, p. 127, 1985,
Princeton University Press)
Perhaps the
above quote reflects a real-world example of the unification aspect of change
within the ZT cycle; an aspect that is fundamentally indefinable but only
becomes truly clear when it is examined at the simplest levels of complexity.
1.6 Birth
of a Historical Event / Information
As the cycle of change between the opposites continues, perimeter and center move beyond their state of unity and adopt a completely new relationship with respect to each other. That which was acting as the center of the circle now lies outside of what was once its own perimeter, i.e. is now acting as “perimeter”, and that which was once the perimeter now lies inside of what was its own center, i.e. is acting now as the relative “center” in the relationship. This switching of functions has two important implications. The first has to do with each binary opposite “doing” its inverse function, and the second is that a new and unique sub-space has been defined by the area formed by their functional overlap.
As the cycle of change between the opposites continues, perimeter and center move beyond their state of unity and adopt a completely new relationship with respect to each other. That which was acting as the center of the circle now lies outside of what was once its own perimeter, i.e. is now acting as “perimeter”, and that which was once the perimeter now lies inside of what was its own center, i.e. is acting now as the relative “center” in the relationship. This switching of functions has two important implications. The first has to do with each binary opposite “doing” its inverse function, and the second is that a new and unique sub-space has been defined by the area formed by their functional overlap.
This area of
co-mingling can also be understood as the point of “creation” of some form of information between the original binary
opposites. That is, in order for information to be produced (i.e. a real
historical event to “occur”) two things must not only first somehow encounter
each other; they must actually switch places and assume the character
(to some degree) of its opposite function.
Therefore,
all but the simplest points in space-time can be understood as some union of
both the "inner" and "outer" space-time surrounding it (all
cases will be categorized more completely in section 2). Extrapolating this
still further, ZT posits that this newly “born” overlap of the original
opposites has the unique potential to (at the highest levels of complexity) be
able to draw relative contrast between itself and the inner and outer
surroundings from whence it arose. Unlike the previously (Polarity I) two
space-like separated ‘parents’, the newly created area has the potential to know its "mother" and
"father" in a new and unique way because it not only shares a
relational context with the two discrete, binary opposites from which it arose
but also exclusively experiences the content of its own individual “reality” as
their unique product i.e. child. The above expresses the foundational
principle within the ZT model used to explain both the formation of any
historical event as some relative space-time and (ultimately) the arising of
reflective consciousness.
1.7
Polarity II - Maturation
After the original perimeter and center of the circle have begun to switch their functions, the process continues until the perimeter finally reaches the “limit” of what was once its center, and the center expands out to the limit of what was once its perimeter. This expresses the second complete polarizing of binary opposites within the ZT model (See Polarity II, Fig. 2).
After the original perimeter and center of the circle have begun to switch their functions, the process continues until the perimeter finally reaches the “limit” of what was once its center, and the center expands out to the limit of what was once its perimeter. This expresses the second complete polarizing of binary opposites within the ZT model (See Polarity II, Fig. 2).
This second,
“switched” polarity indicates the completion of the “growth” phase for any
historical event because it reflects the complete realization of the full
potential for the internalization of the original binary opposites by their
(now fully matured) overlap. It is that aspect of the cycle that expresses the
full physical individual “is-ness” of every point (i.e. boundary) in space and
time. As we know, some of these overlaps can be extremely complex, and can give
rise to animate beings. The ability for an animate being to (via consciousness)
internalize their inner and outer surroundings as “personal experience” or qualia
(more on this later) is one example of this aspect of the ZT cycle.
1.8 Decay
–Information and Entropy
Upon reaching the absolute limits of their polar opposites (at Polarity II) there is only one thing that the original binary opposites of perimeter and center can do in order to continue their dynamic cycle of change with respect to each other; they must return to their original orientation. Because the historical event was ultimately formed by the overlap of two polar opposites, when they begin to cycle “back” towards their original “pre-birth” orientation the historical event that was formed by their overlap simultaneously begins to decay. This is merely to state that the same factors that gave rise to any historical event (or bit of information) will eventually destroy it by the exact same process that created it.
Upon reaching the absolute limits of their polar opposites (at Polarity II) there is only one thing that the original binary opposites of perimeter and center can do in order to continue their dynamic cycle of change with respect to each other; they must return to their original orientation. Because the historical event was ultimately formed by the overlap of two polar opposites, when they begin to cycle “back” towards their original “pre-birth” orientation the historical event that was formed by their overlap simultaneously begins to decay. This is merely to state that the same factors that gave rise to any historical event (or bit of information) will eventually destroy it by the exact same process that created it.
A second,
far more sophisticated way to conceptualize historical decay is limited
exclusively to animate objects and involves the area formed by the overlap
(i.e. the child) of “parental” polarities in some way participating in the
process of its own decay by “giving” its own constituent parts back to the
polarities (inside and outside) from which they originated. This is done by the
child somehow influencing both its inside and outside (i.e. his or her
foundational binary opposites) through some new first-person experience of
connection with its surroundings. Decay in all its forms will also be dealt
with more extensively in Section 2.
1.9 Unification II - Death
On their way back to their original polar positions the returning original center-turned-perimeter and the original perimeter-turned-center will eventually participate in a second point of unification with each other (See Unification II, Fig. 2). This second expression of perfect unity completes the negation (i.e. death) of any historical space-time event that was begun by the process of decay.
On their way back to their original polar positions the returning original center-turned-perimeter and the original perimeter-turned-center will eventually participate in a second point of unification with each other (See Unification II, Fig. 2). This second expression of perfect unity completes the negation (i.e. death) of any historical space-time event that was begun by the process of decay.
1.10 Polarity III – Rebirth
However, immediately after the second unification, the two opposites switch again and begin to regain their original polar orientation (albeit in a ‘new’ way) to each other until a new expression of the original polarity is fully realized (See Polarity III, Fig. 2). This third “polar” expression can also be thought of as the maturation of the "negative" or “new” version of the (now deceased) prior historical event.
However, immediately after the second unification, the two opposites switch again and begin to regain their original polar orientation (albeit in a ‘new’ way) to each other until a new expression of the original polarity is fully realized (See Polarity III, Fig. 2). This third “polar” expression can also be thought of as the maturation of the "negative" or “new” version of the (now deceased) prior historical event.
1.11 Dynamic Fields of Interaction
Although the cyclical process outlined above was presented in a linear format, it is important to understand that each pair of binary opposites can be understood as simultaneously expressing every other part of the cycle merely through any subjective reconfiguration of relevant boundaries. For example, the burning head of a match can be simultaneously understood as a historical expression created between match and air (aka fire) or as manifesting one half of a binary pair contrasted with the part of the match that’s not burning whose ‘child’ will ultimately be the consumed match. Because of the staggering complexity of the countless “over-lapping” sub-cycles that make up the both the quantum and classical-level universe, all expressions of binary opposites (that give rise to real points in time and space) are most accurately imagined as dynamic “fields” of interaction simultaneously sharing all parts of the cycle as opposed to objects or events defined by objective boundaries or states. This simply mirrors our three original Zen assertions that can be summarized as conditional and limited binary relationship existing as some shared boundary that is engaged in some dynamic and oscillatory relationship with respect to each other. If we were to graph this changing polarity and their revolving functions over time they would appear as a pair of alternating sine waves meeting at a shared axial connection and then polarizing from each other at opposing extremes before returning to another axial connection and each then progressing to the opposite extreme. ZT posits that this pattern can be identified in the history and evolution of every action within space and time including the universe as a whole (This suggests a new way to understand the origin, nature, and fate of the universe based on the simple large-scale cycle involving fundamental opposites giving rise to a single great ZT cycle**).
Although the cyclical process outlined above was presented in a linear format, it is important to understand that each pair of binary opposites can be understood as simultaneously expressing every other part of the cycle merely through any subjective reconfiguration of relevant boundaries. For example, the burning head of a match can be simultaneously understood as a historical expression created between match and air (aka fire) or as manifesting one half of a binary pair contrasted with the part of the match that’s not burning whose ‘child’ will ultimately be the consumed match. Because of the staggering complexity of the countless “over-lapping” sub-cycles that make up the both the quantum and classical-level universe, all expressions of binary opposites (that give rise to real points in time and space) are most accurately imagined as dynamic “fields” of interaction simultaneously sharing all parts of the cycle as opposed to objects or events defined by objective boundaries or states. This simply mirrors our three original Zen assertions that can be summarized as conditional and limited binary relationship existing as some shared boundary that is engaged in some dynamic and oscillatory relationship with respect to each other. If we were to graph this changing polarity and their revolving functions over time they would appear as a pair of alternating sine waves meeting at a shared axial connection and then polarizing from each other at opposing extremes before returning to another axial connection and each then progressing to the opposite extreme. ZT posits that this pattern can be identified in the history and evolution of every action within space and time including the universe as a whole (This suggests a new way to understand the origin, nature, and fate of the universe based on the simple large-scale cycle involving fundamental opposites giving rise to a single great ZT cycle**).
2.1 The Mobius Effect
The ZT space-time diagram (Fig. 2) describes the causal history and evolution of every real event in a way that allows for the possibility of a first-person perspective to be accounted for. In Section 2 this cycle will be expressed as a topological model showing how real events can be further categorized into an interdependent system of discrete orders of complexity. Through mapping these discrete orders, explanations for the nature of light, gravity, and mass as well as a clear transition from inanimate to animate matter (and ultimately the development of reflective consciousness) can be deduced.
The ZT space-time diagram (Fig. 2) describes the causal history and evolution of every real event in a way that allows for the possibility of a first-person perspective to be accounted for. In Section 2 this cycle will be expressed as a topological model showing how real events can be further categorized into an interdependent system of discrete orders of complexity. Through mapping these discrete orders, explanations for the nature of light, gravity, and mass as well as a clear transition from inanimate to animate matter (and ultimately the development of reflective consciousness) can be deduced.
The tool we will use to topologically illustrate the
relationships between different binary opposites is a modified Mobius strip. It
will be modified in such a way so that it more clearly reflects the ZT cycle
(Fig. 2a). The Mobius strip is a surface with only one side and only one
boundary component. The Mobius strip has several curious properties the best
known being that if we were to take our finger and trace it along the length of
the strip after one 360o time around we would be at the same place we started
but on the other face of the strip.
If we continued around once more we would finally arrive at
the starting point of our journey. This continuous 720º loop demonstrates that
the Mobius strip has one side but that that one side can be divided into two
faces at every point along it. This clearly illustrates the ZT assertion that
any shared boundary within real space- time is divisible into two purely conditional
binary opposites.
In order to make the Mobius strip express the aspect of
continuous change posited in the ZT model to an even greater degree, let the
longitudinal dimension (length) of the strip represent the cycle of change
between binary opposites (i.e. as time). To do this, let black and white
represent the polarized aspect of some binary pair (on opposite faces) within
the ZT cycle and let grey reflect their unified aspect. When this is done, one
half of the Zen Mobius strip (ZMS) (see Fig. 3) has black and white on opposite
faces and the other half has uniform gray on both faces with a gradual
transition between these two extremes. Thus, at any point along an entire 720º
“trip” around the loop the relationship between the opposing faces reflect the
ZT cycle; starting out polarized (an arbitrary starting point), unifying as
grey, switching their polar orientations (relative to the starting point) then
unifying again as grey, and finally reaching their original polar configuration
in exact accordance with the ZT cycle of change (Fig. 2a).
The
Mobius strip also has the mathematical property of being a non-orientable surface.
When something is non-orientable it means that there is no way of statically
defining the ‘original’ orientation between some pair of shapes moving along
the single shared surface of the strip. For example, if we were to draw two
pinwheels pointing in opposite directions on a transparent Mobius strip, if we
were to slide one of the pinwheels (360º) once
around the loop we would find that the orientation of the pinwheel would now be
the same as the orientation of what was once its opposite. It's not until we make
another full 360º ̊ loop (720º total) that the two pinwheels would again be
twisting in opposite directions. This means that we have no way of knowing what
the original orientation of either one of the pinwheels was unless we would
have drawn them ourselves, i.e. unless we had the initial information before we made our
observation. That is, any qualities identifying either shape relative to each other has no static “reality” as is due
solely to their conditional and dynamic interaction along the shared the surface.
The last parameter that needs to be set in order to create a
Mobius strip that topologically reflects the real-world ZT cycle of change is
the relative complexity between differing sets of binary opposites. Therefore,
let the latitudinal dimension (width) of our ZMS represent the relative
complexity between different sets of polar opposites.
2.2 First-Order Complexity
What happens when binary opposites express only the simplest examples of physical complexity? Let us form the simplest ZMS using one of the simplest pair of opposites possible: the largest and the smallest. One real-world example of this could be a single photon (smallest) in contrast to the rest of the cosmos (largest). Such a first-order complexity might be thought of as generally analogous to some massless subatomic particle (in the Standard Model of particle physics) paired with the rest of the cosmos.
What happens when binary opposites express only the simplest examples of physical complexity? Let us form the simplest ZMS using one of the simplest pair of opposites possible: the largest and the smallest. One real-world example of this could be a single photon (smallest) in contrast to the rest of the cosmos (largest). Such a first-order complexity might be thought of as generally analogous to some massless subatomic particle (in the Standard Model of particle physics) paired with the rest of the cosmos.
Applying the Zen Theory cycle of change to the above
example, we know that somehow these opposites will polarize and unify with
respect to each other. However, because the photon can travel (i.e. polarize)
only the smallest measurable distance before coming into contact (unifying)
again with the rest of time and space (its conditional inverse) the change
between phases (i.e. polarizing and unifying) happens at an incredibly fast
rate. In fact, ZT posits that because it is the simplest it is the fastest rate
possible. Therefore, the speed of light, which Einstein discovered as a
universal constant (but for which there is no known explanation as to why it
is so), is defined in the ZT model as the rate at which each successive
photon-universe polarizing-unifying cycle occurs.
Although the direction and speed of a photon-cosmos polarity
can be measured and verified (as a wave-function), the individual photons
themselves are never distinguishable while they are actively cycling with
the cosmos as a whole. It’s an all-or-nothing deal; either the first-order
complexity is defined by (i.e. polarizes with respect to) its relationship to
the cosmos as a whole or as a “relative” particle within some other binary
relationship embedded within the cosmos (although “quantum”
characteristics are always involved to some degree). Therefore, although other
complexities can exert certain influences on a freely moving photon/cosmos
polarity (due to influence on the particle as it polarizes from the cosmos for
a micro-second, e.g. gravitational lensing), the particle involved remains
exclusively defined by its cyclical relationship with the entirety of the
cosmos (happening at the speed of light) until that primary relationship has
been superseded by another (involving for example, photosensitive film, or a
banana leaf).
Because of this, it also stands to reason that no matter how
fast any particular macro-level (non-wave-function) object within the
universe is traveling, the speed of the “light” originating from it will always
be the same (when measured by any macro-level observer) regardless of that
object’s speed because every photon is by definition (as a first-order
complexity), engaged with the cosmos as a whole. Therefore, as far as photons
are concerned it's as though any pair of eyes are the universe's eyes and every
pair sees photons polarizing from itself at the same rate regardless of how
fast different sets of “macro-level” eyes (different reference frames) are
moving relative to each other. One could paraphrase John Donne's famous lines
from “Devotions Upon Emergent Occasions” to read 'Ask not from what the
beam of light is bursting forth from (nor be concerned with the speed of its
point of origin) for it bursts forth from Thee! (i.e. the universe as a
whole)'. Therefore, as Einstein so brilliantly discovered, the speed of light
stays constant for everything and each observer adjusts his or her own relative
perceptions of space-time in order to reflect the foundational nature of the
binary relationship between the simplest of particles and the rest of the
cosmos. Although this is a rather radical assertion it's difficult (or
impossible?) to come to any other logical explanation concerning the very real
and unique characteristics expressed by light and its definitive universal speed.
As mentioned in Sec. 1.2, the entanglement of a
single divided particle with itself is one of the hallmarks of quantum level
behaviors. This mysterious “influence" between the separated halves seems
to contradict (or at least stretch) Einstein's discovery about information
transfer being limited to the speed of light. However, once we assert that any
particle involved in a first (or second)-order complexity is literally engaged
in a binary relationship with the cosmos as a whole (rather than just a
probabilistic one), then even though a kind of odd “sub-polarity” is created by
splitting the particle into entangled halves (via some “subtle” influence), from
the perspective of those entangled halves their relationship i.e. contact
with their definitive polar opposite (i.e. the cosmos as a whole), has not been
altered in the least. That is, even though from our perspective within the
cosmos we can measure a relative distance between the entangled halves, from
the point of view of the split particle that distance is meaningless; there
is still only a single photon engaged with the rest of the cosmos; polarizing and unifying with each other regardless of any split. Thus, Einstein's "spooky action at a distance" is rendered into perfectly ordinary behavior. ZI asserts that the speed of light, and quantum
entanglement are two behaviors that arise from the same simple principle:
namely, sharing a definitive polar relationship with the cosmos as a whole.
As so beautifully shown in QED, all the opposing probabilities
for the general direction that any first-order particle/cosmos ZT cycle will
propagate, cancel each other out, and the behavior of an electromagnetic wave
always manifests in a very predictable way (the angle of incidence always
equals the angle of reflection). However, even though the behavior of a photon/cosmos-wave-function
is very predictable the exact location that a particular photon
(or other particle) will polarize from the cosmos still has an aspect of quantum
indeterminacy or randomness. That is, if individual photons are
unifying with the entire cosmos (represented via the "grey"
areas of its ZMS) the exact location where a particular photon will polarize
again from the cosmos can never be precisely predicted. One of these simplest
of particles could potentially polarize from the cosmos at any location in time
or space (even backwards or forwards in time!). This randomness in first- order
complexities also exists (in some form) at all higher orders of complexity as
reflections of the same cyclic principle but the particular character that
that randomness takes will vary according to the particular order of complexity
expressing it.
2.3 Second-Order Complexity – Gravity
and Mass
Particles capable of manifesting as freely moving wave-functions are not limited only to massless particles. Certain, subatomic particles, atoms, and even large molecules that have actual mass can also be described as participating as one half of a binary pair of opposites in relationship with the cosmos as a whole. However, because of their far greater complexity these opposites traverse the ZT cycle at slower rate (but still often really fast) than massless first-order complexities. Because of their added complexity (relative to first-order expressions) the width of the ZMSs representing any of these more complex pairs will be wider than first-order ZMSs. But in order to accurately reflect the profound character change for such an evolution within the context of our ZT topology the edges along this “second-order” Zen Mobius strip must not only become wider (as would be the case for larger first-order [massless] particles) they must actually begin to curve inwards towards each other.
Particles capable of manifesting as freely moving wave-functions are not limited only to massless particles. Certain, subatomic particles, atoms, and even large molecules that have actual mass can also be described as participating as one half of a binary pair of opposites in relationship with the cosmos as a whole. However, because of their far greater complexity these opposites traverse the ZT cycle at slower rate (but still often really fast) than massless first-order complexities. Because of their added complexity (relative to first-order expressions) the width of the ZMSs representing any of these more complex pairs will be wider than first-order ZMSs. But in order to accurately reflect the profound character change for such an evolution within the context of our ZT topology the edges along this “second-order” Zen Mobius strip must not only become wider (as would be the case for larger first-order [massless] particles) they must actually begin to curve inwards towards each other.
The addition of this lateral curve is not arbitrary but
reflects the natural topological progression necessary for a Mobius strip to evolve
towards a Klein bottle-like topology (See Fig. 4a. A 'standard' Klein bottle is a combination of two laterally convex Mobius strips). Any such curvature for a single ZMS (or sometimes combined ZMSs, as in the case of a molecule) represents the second-order of complexity in
the ZT model (see Fig. 4). ZT posits that the
latitudinal curved dimension of second-order ZMSs is the topological
representation that accounts for both mass and gravity.
With the evolution of a lateral curve to a ZMS we can
identify two other dimensions of topological asymmetry. First, the topological
orientation of the convex/concave curve (white/black convexity or concavity),
and second, the width differential between the expanding “bulb” and contracting
“handle” of the evolving ZMS (See Fig. 4) regardless of orientation. That
is, first-order ZMSs are flat (have no concavity) and their topological width
is uniform all the way around the loop (Fig. 3). Therefore, for the first-order
complexity the topological “form” of its ZMS remains the same for the first
time around (1/2 of a ZT cycle) as well as for the second (i.e. one full ZT
cycle). In the first-order, it is only the black/white to grey orientation
polarities that alternate over time. What this means (per the ZT cycle) is that
a first-order “particles” can share the same spatial and temporal topology (at
Polarities I, II, or III within the ZT cycle) with “other” first-order
particles (or even as past or future versions of the same particle over time).
To use the example presented in Sec. 2.1, if instead of opposing pinwheel
shapes we just draw two dots on a transparent Mobius strip we find that without
that extra dimension of the oppositely pointing pinwheel arms, the
non-orientabilty "effect" becomes less complex. That is, unlike the
pinwheel shape, when one of the dots is moved one 360º loop around the strip (i.e. spin* 1) both dots still look exactly the same as each other and can
"occupy" identical positions along the strip and would just still
look like a single dot (even though there would technically be an “upside-down”
aspect that would remain). But ZT suggests that this lack of topological
asymmetry in a simple flat ZMS topology corresponds to the real-world
characteristic of two or more first-order complexities (e.g. bosons**) being able
to occupy the same place at the same time with no one being the wiser.
By way of the evolution of a lateral curve to the
topology of the second order ZMSs, another layer of non-orientable complexity
is added to the model...again, like drawing two oppositely turning pinwheel
shapes instead of just dots. That is, in addition to the existing oscillation
in orientation from black to white faces (via grey), a unique black- white-grey
/ convex-or-concave topological character is also added to every
point along the entire 720º ZT cycle. Therefore, while first-order
complexities require only one revolution
around the ZMS (360º or 1/2 a complete ZT cycle) to polarize into their
original topological state (i.e. spin 1, 2, 3, etc.),
second-order complexities require the full two rotations around the ZMS
(i.e. 720º, or one complete ZT cycle) before they can again topologically
express their original polar state. That is, (for the simplest second-order
particles (e.g. an electron), upon one 360º trip around their ZMS, they only
complete one half (i.e. spin 1⁄2) of the full 720º necessary for them to
polarize as a “new” particle (any discrete moment of space-time can only come
about after a full 720º ZT cycle). This means that Polarities I and III (0º and
720º for any second-order particles) are topologically distinct from the “switched"
polarized state at Polarity II (360º). Thus, in contrast to first-order
complexities, second-order complexities can occupy only one unique “place” in
space-time at any given instant. This distinctive character of the topology of the second-order ZMS is reflected in the characteristic we call mass. Thus, this description of the difference between
first and second-order particles seems to reflect the Pauli Exclusion
Principle that states that no two particles with mass can occupy the same
place at the same time. It might also be a simple way to visualize the
difference in spins between massless particles (e.g. bosons) and
those with mass (e.g. fermions).
*Spin is a kind of internal angular momentum peculiar to quantum-level particles. The spin of an elementary particle is currently understood as a truly intrinsic physical property of these particles without any accepted explanation for how or why it comes about. The ZT model seems to suggest one such explanation.
**Some bosons do indeed have mass (and gravity). These can be explained by two "fused" second-order ZMSs where each grey handle (area of unification) is fused to the black and white area (polarity) of its co-joined partner. Thus, the topological shape of this ZMS after one trip around is identical to the shape of its point of origin (spin 1) . (illustrations pending)
*Spin is a kind of internal angular momentum peculiar to quantum-level particles. The spin of an elementary particle is currently understood as a truly intrinsic physical property of these particles without any accepted explanation for how or why it comes about. The ZT model seems to suggest one such explanation.
**Some bosons do indeed have mass (and gravity). These can be explained by two "fused" second-order ZMSs where each grey handle (area of unification) is fused to the black and white area (polarity) of its co-joined partner. Thus, the topological shape of this ZMS after one trip around is identical to the shape of its point of origin (spin 1) . (illustrations pending)
Gravity
is unique among the four fundamental forces because; 1) it is the only force
that can “distort” a light-cone, which is the same thing as saying that it
actually affects the “shape” of space-time itself, and 2) at the smallest
scales it is incredibly weak compared to the other forces. A way has been
posited above showing how the natural evolution of a lateral curve of some ZMS
coupled with spin (i.e. the ZI cycle of change) can be linked to the creation
of mass. That is, when a second-order cosmos/particle pairing polarizes (at
Polarity II), the particle aspect of the polarity will have the character of
mass, but what ZI also suggests is that the lateral curve that causes mass also
imparts that curved character to any expression of mass and to some degree of its
local surroundings (binary opposite). It is this curving of space-time
expressed by all second-order (or higher) complexities that we call gravity.
With respect
to gravity’s relative weakness compared to the other forces at the smallest of
scales; in the ZI, the nuclear and electromagnetic forces relate exclusively to
the longitudinal bonding of opposing edges of any ZI topology to
each other as they increase in complexity while the gravitational force (as
well as physical mass) is brought about by the lateral curvature ‘naturally’
created by the two faces of a single ZMS and/or ZKB expressing higher
complexity. To put it another way: gravity (and stable mass) express the particular
shape of space-time and the other three forces are expressions of what is
keeping that particular expression of complexity together over time.
In
contrast to this, the most widely accepted models (in the natural sciences)
explain gravity and mass as being brought about via carrier particles (the
graviton and Higgs Boson, respectively). The author of the paper is under no
illusions that he is capable of disproving such ideas, but rather is suggesting
that mass and gravity seem to be able to be modeled in ZI as part of a single
topological characteristic that provides an alternative framework within which the
four fundamental forces might be able to be logically represented.
Equating the topological distinctions of second-order ZMS with a corresponding mass and gravity also suggests a possible explanation for the
difficult question of why the mass between different types of fermions can
vary so much. For example, the mass of an electron is very light relative to a
muon. But, if we simply posit that the greater the latitudinal curvature of any
second-order ZMS, the greater the mass (i.e. energy) of the corresponding
particle then two different second-order ZMSs can have the same overall width
(i.e. basic complexity), but much different masses depending on the degree
of latitudinal curvature for each. Thus, when we observe high-energy
second- order complexities (e.g. muons) their mass (i.e. degree of curvature)
dramatically exceeds that of lower-energy expressions but when that degree of
curvature cannot be sustained it naturally devolves into a simpler (i.e.
less-curved) expressions with the extra energy being expelled as simpler first
or second-order complexities of various stripe.
Although they can only exist at one place at the one time,
both first-order and (some) second-order particles can be understood through ZT
as sometimes being able to travel backwards in time. That is, when
some particle polarizes as white and the cosmos as black (let’s call it a white-face particle), it must then unify with the cosmos
(it's binary opposite) at grey however sometimes rather than switching and continuing along the second half of its journey as a
black-face particle (into its future) there is some probability that it will
polarize back onto the white face again ...back into its own past thus forcing
it to travel again “through” the conditional space-time it had previously
related to the moment before. Should our time-regressed
"positron" meet up with a white-faced (i.e. normally oriented) electron...boom! The "temporal orientations" (one to black, the other
to white) of the opposing particles cancel each other out and we end up with a
lot of simpler first/second-order particles.
Another important characteristic of the second-order
complexity worth mentioning is that because of the latitudinal curve of
second-order ZMSs, each must be fundamentally oriented convexly or concavely
towards either black or white (the topological orientation of black, white, and
grey represent the cycle of change within the ZT model and do not vary
over time for the second-order ZMS. Rather, it is the relationship between
the cycling pair of opposites that "changes" as time). This
might suggest a simple way to explain the possibility of both matter and
antimatter existing in the universe and also why we almost exclusively find
matter as opposed to more equal amounts of both matter and antimatter. That is,
the almost perfectly uniform “orientation” of all the stuff in the universe
towards "matter" (as opposed to antimatter) might be a simple
reflection of the state of the entire universe as it "switches" its
own defining orientation (between black and white) as part of some Great ZT cycle.
Such a switch (via the grey point of perfect unification, i.e. the Big Bang)
would signify the end of an anti-matter oriented universe and the birth of a
(positive) matter universe. This suggests that over time, alternating,
successive universes produce second-order pairs oriented (almost exclusively)
to a white- convex (i.e. a matter-based) universe and the next oriented to a
white-concave (i.e. an anti-matter based) universe. The ZT topology expressing
such a universal "switching" would be similar to the way third-order
complexities switch their own orientations (See below Figs. 5 & 6): a way
that is not present in first or second-order complexities. Furthermore, through
using such a topology, the Arrow of Time (i.e. the growing entropy of the
universe) also becomes perfectly understandable as the natural progression of
the birth and decay of each (either matter or antimatter based) universe
returning to their respective states of perfect uniformity (Unification II,
Fig. 2a) before giving rise to the next oppositely oriented universe (see addendum "**").
2.4 Third-Order Complexity - Collapse of the Wave-function, Inanimate Space, and Gravity II
Finally, due to a continued increase in complexity (via the connection between first and second-order complexities) of a binary pair, the lateral curve along the entire length of the corresponding ZMS becomes completely closed and a ZT version of the Klein bottle shape is realized. This is illustrated in the ZT topological model as a Zen Klein bottle (ZKB, see Fig. 5) and defines another full-order of complexity within the ZT topological model.
Finally, due to a continued increase in complexity (via the connection between first and second-order complexities) of a binary pair, the lateral curve along the entire length of the corresponding ZMS becomes completely closed and a ZT version of the Klein bottle shape is realized. This is illustrated in the ZT topological model as a Zen Klein bottle (ZKB, see Fig. 5) and defines another full-order of complexity within the ZT topological model.
This third-order of complexity models the first truly quasi-independant state of equilibrium from the entirety of the cosmos for any pair of conditional inverses and finalizes the most basic ZT explanation for the "collapse" of the freely moving wave-function (i.e. the full cosmos-particle relationship).
That is, with the creation of any third-order complexity a stable set of
sub-binary opposites comes into being that is primarily defined as “imbedded
within” rather than as “polarizing with” the cosmos as a whole. Another way to
think about this would be that the resulting configuration is finally definable by its own relative set of polarized opposites
functioning in pseudo- independence from the rest of the cosmos. Thus, atoms
and molecules and the entire (more complex) macro-level of existence can come
into being via the creation of binary relationships ultimately made up of more
simple expressions (first/second-order complexities) that of course share the
exact same ZT cycle. For the third-order of complexity, we can say that the ZMS
cycle of change between black, white, and grey is now expressible as a brand
new state characterized by having a true relatively stable (we can call it “form” in the general sense) characterized
by some local inside and outside as well as an temporal history
independent from it's greater environment.
Adding extra topological dimensions to a standard Mobius strip forms a
Klein bottle (Fig. 4a), but to illustrate a ZKB we need to add some further
topological asymmetries reflecting the specific parameters of the fourth-order ZT cycle. If
we initially let the outside of the resulting ZKB be black and the inside be
white, the point of greatest polarity between inside and outside (black and
white) happens somewhere along the midpoint of the circumference of the “bulb”
of the ZKB (see Fig. 5). The point of perfect unity (i.e. gray) happens where
inside and outside contract (as the “handle” of the ZKB) to an exact point of
convergence. At this exact point of unity, inside and outside actually pass
through each other and switch faces with respect to each other. This 3D topological inversion is unique to third (and fourth)-order complexities and
expresses a level of topological sophistication that doesn't exist for any
first/second-order ZMSs. What it indicates is a definitive and relative
“beginning” and “end” to each historical event in a way that's
fundamentally different than (most) first or second-order complexities. It is
this new level of sophistication that changes the emphasis from the entire 720º "wave-function" to one emphasizing the historical creation and
ultimate decay of each particular "form" produced by the event phase
of the ZT cycle.
At its most basic level, the evolution into a third-order
complexity corresponds to collapse of the wave-function however, this configuration is not necessarily permanent.
Furthermore, each switch creates a kind of “moving wave" of the "now"
(limited by the speed of light) reflecting the relative change (for any set
period of time) that must progress along the entire length, (see top of Fig. 5)
eventually “transforming” the entire historical aspect of the ZKB to a
historical orientation that is a new historical event over time (see Fig. 2,
historical event). One way this progress of the switching outer orientation
from a black to a white (and vice-versa) can be thought of is as reflecting the
relationship that any historical event within time and space has with its own
past and future as “temporal states” being experientially “behind” and “ahead”
of it within some larger, set period of time. That is, there is some ZKB that
reflects one hour of a rock’s existence. Of course, that hour has its own
beginning middle and end for the rock involved. The length of the period of
time can vary according to nearly any limit. This also models our human
experience (although human experience actually belongs to the next order of
complexity) of being able to remember our historical past (the area formed
“behind” switching and advancing “wave-front” of our lives) but being unable to
directly experience it. For the future, we experience the exact opposite: we
can’t remember it, but we will directly experience it. The “past” history of
any “existing” historical expression stretches back to the point of its own
creation (just after grey/Unification
I) and its “future” history will extend (at least) to some expression of its
own destruction (also at grey/ Unification II) of itself as a particular
historical event. Thus the speed of the switching wave of any ZKB reflects the
"first-person" reality of time for any third-order object (although
no actual sentience is possible at this order of complexity).
If the above model holds, then there should be a discrete topological
tipping- point where a free floating, second-order particle(s)
transitions from a wave-function (that's engaged with the cosmos-as-a-whole) to
a sustained third-order state that is no longer chiefly defined by that
characteristic. Such a test has indeed recently been found and often repeated
as a particular version of the Double-slit experiment. As stated above, one of
the hallmarks of binary polarities involving the entire cosmos is that the particle
involved is able to divide into an entangled state (see Sec. 2.2), it’s been
shown that even a relatively large bits of matter made up of large molecules
(or even scattered atoms) can still, under certain circumstances manifest as
second-order configurations and exhibit such a state of entanglement. One example is achieved by cooling a particle. By cooling a particle(s), the
complexity of its connection to the surroundings is reduced to the point
where it exists in polarity only with the cosmos-as-a-whole thus artificially
inducing second-order ZMS behavior. But, once a certain amount of energy is
added (e.g. it is heated up), it loses the second-order ability to be chiefly
defined by its singular relationship to the cosmos-as-whole and once again creates
more local connections that "collapse" it into a sustained
third-order complexity. This huge and pivotal
increase in the complexity between the molecule and its local environment form
a new binary pairing that destroys its second-order configuration and “collapses”
it into a third-order "blob" of matter. Thus, this (or any)
wave-function collapse merely reflects an increase in local complexity. Although hyper-cooling was used as an example above, any binary pair of sufficient simplicity should be expected to behave in a similar way. In all cases, Zen Theory
topologically maps this transformation as increasing the width (i.e.
complexity) of a second-order ZMS (by the added energy) beyond the critical
point where its opposite edges meet and form a stable third-order Zen Klein
bottle.
First, second and third-order complexities all combine with
each other to give rise to the raw “stuff” of the cosmos. First-order increases
in complexity (i.e. massless) reflect a uniform broadening of a first-order
ZMS. At some critical point, a lateral curve in the ZMS begins and the second-order
of complexity is created. As stated above, this lateral curve is expressed in
the real world as gravity and mass. However, there are number of ways that
second-order complexities can progress. One way would involve the addition of
first or (the most simple) second-order ZMSs to an existing second-order
expression that would simply and directly enlarge a particular second-order ZMS.
Another would involve a combination where the edges of both would join together to form a ZKB
(however
special cases could be possible where, under certain circumstances the
longitudinal width is not completely closed). Obviously, this bond would necessarily run the entire longitudinal
widths (as the space-time) of the ZMSs involved. This type of bonding seems to fit as
a topological representation of the nuclear forces between particles. At the
third-order we can see in Fig. 5 that the character of any ZKB alternates
between polar orientations and so it’s not illogical to suggest that ZKB’s of
contrasting polar orientations combine in ways that reflect what we observe in
the electro-magnetic force. In contrast
to both of these, (as mentioned in Section 2.3) we can consider the lateral
curve of the resulting combined ZMSs as representing the real world phenomena
of gravity and mass. The mass being the characteristic reflected by the
particular particle(s) involved in some complex state (second/third-order) and
the gravity being the resulting character of the surrounding space-time of that
complex state.
Gravity is unique among the four fundamental forces because;
a) at the smallest scales it is incredibly weak compared to the other forces,
and b) it is the only force that can “distort” a light-cone, which is the same
thing as saying that it actually affects the “shape” i.e. character of
space-time itself. How and why should gravity exhibit such peculiar properties?
In the ZT model, these properties are clearly identifiable.
With respect to gravity’s relative weakness compared to the
other forces; in the ZT model, the nuclear and electromagnetic
forces relate exclusively to the longitudinal bonding of opposing edges of other ZMS/ZKB to each other, while the gravitational force (as well as physical mass)
expresses the much simpler relationship between the two faces of a single ZMS or between the faces of a ZKB to each face as well as to the surrounding space-time moment.
In this way, the vast difference in strength between gravity and the
other forces (at the smallest of scales) is explainable because they are shown
by the model to be fundamentally different aspects of the overall space-time
topology for the elements involved. Gravity (and mass) being an expression of
the particular topology of space-time and the other three forces being expressions
of what is keeping that shape together over time. It also suggests
why gravity becomes so powerful and important at larger scales because as any
ZKBs increase in mass, the size of the space-time impacted by them (the area
wherein the ZKB is embedded) also increases in a proportional way, whereas the
forces that compound ZMSs/ZKBs into larger and larger bits of complex matter
(masses) being made up of various smaller ZMSs/ZKBS fused together (longitudinally), don't impact or interact with the surrounding space wherein the ZKB is
embedded.
Regardless of the exact (and incredibly complex) details of
their interactions, the first three complexities might sequentially be compared
with filaments (first-order) combining to make thread (second-order), and these
threads combining to make fabric (third-order). Thus, each ZT-order of
complexity can be understood as having its own unique “reality” of the
universe yet, by the nature of everything's participation in the shared
universal cycle, also simultaneously function within greater, new, and more
complex expressions of the same reality. One of our stated goals was to show
that a common basic algorithm exists within all systems that ultimately accounts for some form of "individualization” in every frame of reference at both the animate
and inanimate levels. It can now be seen how a “first-order universe"
(i.e. a universe as light), a “second-order universe" (i.e. a universe of
physical distinction between “this and that”), as well as a “third-order
universe” (i.e. a universe of form), can all "decohere" into their own individual realities yet also exist simultaneously as the
merged and various functions of a single great universe.
Furthermore,
just like a pre-determined pattern is used to transform a mass of fabric into a
particular style of clothing, the higher orders of complexities express their
evolving "form" as mass and gravity. In contrast to this, the
most widely accepted models (in the natural sciences) explain gravity and mass
as being brought about via carrier particles (the graviton and Higgs Boson,
respectively). The author of the paper is under no illusions that he is capable
of discounting such ideas, but rather is suggesting that mass and gravity can
be modeled as expressions of certain levels of complexity inherent within the
nature and shape of space-time itself.
2.5 Fourth-Order Complexities - The Animate Object
Third-order complexities are inanimate objects (including computers) and
have clear limits regarding their relative spatial and temporal boundaries
within the cosmos. One thing they cannot do is to actively participate in
maintaining their own state of equilibrium (i.e. being) through the
interactions of their inner and outer conditions. That is to say, as part of their specific reality, computers for example have no need or ability to
internally generate influence over the manner through which their insides and
outsides will reconnect moment after moment in order to continue their
existence...although they may accomplish a staggering number of computations in the blink of an eye.
By contrast, animate things are characterized
by their dependence upon and use of both their inner and outer surroundings in
order to directly influence particular connections (i.e. decays) necessary for
their own survival. Inanimate objects are incapable of any such dependency and
can only express an exclusively mechanistic way to decay through time because
they have no ability or need to synthesize (or benefit from) alternative
behaviors beyond the single cyclical process that gives rise to and defines
their physical being. That is, even the most complex computers cannot generate
even the most vague of alternatives for how to behave in a way that actually
extends both their own material and functional existence.
And so, rocks, stars and computers, all continue to exist without any
ability to influence, by way of the product of their founding conditional
inverses, what they are doing or how they are doing it (beyond their gross and completely
deterministic physical durability) until their “forms” naturally decay and are
transformed into something else.
This is topologically expressed by their representative ZKBs having only one “handle” through which connection (decay and unification) can possibly take place. Simply put, no matter how complicated their defining binary pair is, they can only “do” one thing. That is, for the third-order expression, every moment of its existence is brought about solely as the mechanistic outcome of their inner and outer surroundings crossing and uncrossing, around and around, in a stable condition of equilibrium until such time as their defining binary relationship is itself "externally" transformed or is destroyed. For example, even the most complex computers cannot generate even the most vague of alternatives for how they (the actual materials that make up the computer) will behave in order to extend both their own material and functional existence. Rocks, stars and computers, all continue to exist without any ability to “personally” influence what they are doing or how they are doing it (beyond their physical, third-order durability) until their “forms” naturally decay and are transformed into something else. Although, in the case of some of the largest (most complex) third-order expressions (such as giant suns), their post-“death” expressions don’t just dissolve or disperse, rather, their “switch” can transform them into third-order inversions of their previous state (i.e. they become black holes) which, of course, corresponds to just massively "switched" expressions of the same third-order ZKB. This behavior of extreme expressions of third-order complexities becomes important when contemplating the fate of the most complex fourth- order complexities as well (i.e. the fate of humans after death).
The fourth-order of complexity (Fig. 6) reflects the ZT model for the animate object (which ultimately includes the conscious being). Animate object is used here in the broadest possible sense: as any historical event that expresses itself as a specific yet evolving region of dynamic homeostasis formed through the interpenetration
This is topologically expressed by their representative ZKBs having only one “handle” through which connection (decay and unification) can possibly take place. Simply put, no matter how complicated their defining binary pair is, they can only “do” one thing. That is, for the third-order expression, every moment of its existence is brought about solely as the mechanistic outcome of their inner and outer surroundings crossing and uncrossing, around and around, in a stable condition of equilibrium until such time as their defining binary relationship is itself "externally" transformed or is destroyed. For example, even the most complex computers cannot generate even the most vague of alternatives for how they (the actual materials that make up the computer) will behave in order to extend both their own material and functional existence. Rocks, stars and computers, all continue to exist without any ability to “personally” influence what they are doing or how they are doing it (beyond their physical, third-order durability) until their “forms” naturally decay and are transformed into something else. Although, in the case of some of the largest (most complex) third-order expressions (such as giant suns), their post-“death” expressions don’t just dissolve or disperse, rather, their “switch” can transform them into third-order inversions of their previous state (i.e. they become black holes) which, of course, corresponds to just massively "switched" expressions of the same third-order ZKB. This behavior of extreme expressions of third-order complexities becomes important when contemplating the fate of the most complex fourth- order complexities as well (i.e. the fate of humans after death).
The fourth-order of complexity (Fig. 6) reflects the ZT model for the animate object (which ultimately includes the conscious being). Animate object is used here in the broadest possible sense: as any historical event that expresses itself as a specific yet evolving region of dynamic homeostasis formed through the interpenetration
of some inner and outer surroundings (binary opposites).
Wikipedia defines dynamic homeostasis as: "the property of a
system in which variables are regulated so that internal conditions remain
stable and relatively constant". However, ZT holds that the unique fourth-order
dynamic homeostasis is better described as some stabilized product ofbothinner
and outer surroundings that’s capable of actively participating in the
perpetuation of its own historical existence. Thus, fourth-order
complexities uniquely exhibit some level of first-person "life" that
somehow actively participates from within its own ZT cycle to extend or
replicate its existence over time (consecutive ZT cycles). Another term for the
action of "life over time" might be biological evolution. As stated
above, the distinction between third and fourth-order complexities can be made
positing that fourth-order complexities always involve the internal generation
of alternatives and these, in turn, can be described as the necessity
and ability to transform one's inner and outer surroundings into some set of tools
for accomplishing the purpose of bringing about some form of continuation.
Tools, in this sense refers to any part of either the inner
or outer surroundings (i.e. the binary opposites that gave rise to and
ultimately sustain that historically produced space) that is able to be used
by a historical event in such a way as to facilitate some form of its own,
first-person continuation beyond its next connection at unification II in
its ZT cycle. Needless to say, any tool must itself exist as part of the total
content of any fourth- order complexity. This is a vitally important point. The
numbers of ways in which the simplest organisms are able to use their
surroundings as tools is very limited (relative to our own). But, any ability
to do so still creates alternatives for how something's inside and
outside might or might not connect in order to nurture, or in some way
replicate the homeostatic relationship between inside and outside that defines
that thing i.e. its life. For example, perhaps some primitive membrane
structure allows the simplest expression of chemical based, self-replication to
occur through a dynamic relationship with its surroundings. The alternative
here is simple; either that dynamic homeostasis of structure continues...or
not, depending on whether the integrity of the membrane is maintained and the
necessary connections between what's inside and outside of that membrane take
place. Should that membrane somehow loose its ability to maintain its integrity
between it's inner and outer state i.e. “use”
its surroundings in such a way that somehow continues the relationship between
what's inside of and outside of that membrane, it fails and the utterly unique
inner-outer relationship that that complete state of dynamic homeostasis
brought into being "dies". This clearly differentiates all
fourth-order complexities from any third-order complexities, which have no
means (or need) to internally influence (in a historical,
first-person-like way) how their inner and outer surroundings reconnect. That
is, since third-order complexities have no quality of "life" as
complex as exhibited by fourth-order complexities, they also cannot experience
"death".
Thus it can be generalized that fourth-order complexities
bring about a completely new way for lower-order complexities to be organized.
These new organizations are characterized by having the ability to evolve by
acquiring the ability to use more and more of the binary opposites from which
they are composed (and upon which they are completely dependent) as tools for
their own "personal" perpetuation. That is, as they evolve, their inner
and outer surroundings also evolve into more and more complex tools that in
turn can be used to help regenerate themselves (or some future generations) which
in turn are the product of these more and more complex binary relationships.
For example, men and women are “evolved” into father and mother upon the birth
of their child. “Mother” and “father” are tools, used by the child to
facilitate its own growth (and decay). Simultaneously, the child is used as a
tool by the "parental units" (SNL anyone?) in order to continue some
version of their own state of dynamic homeostasis...i.e. by passing on their
genes and social influence (i.e. inner and outer realities) to a new
generation. Thus, although both the amoeba and the human both exist as living
beings, the human far exceeds the amoeba by way of huge increase in the
complexity of their defining binary opposites (and more importantly, in their
ability to divide those opposites into alternatives: tools) that give rise to
each distinct, biological life form.
Expressing any alternative ways that fourth-order
complexities might connect inside and outside can be shown in our ZKB topology
(Fig. 6) by adding extra "handles" through which inside and outside
can potentially connect for any particular unification (unification II in the
ZT cycle). Adding only one extra handle means that for whatever historical
evolution is being represented, the possibility exists for the binary
opposites to unify in two different ways; perhaps most basically, continuation
and cessation. Thus, every life forms experiences its own fourth-order universe
of alternatives by being created from and creating pair after pair of opposing
contrasts within it. Which alternative of any pair becomes the actual future
connection is “chosen” by the "child" (i.e. historical being) the
instant after the historical maturation (Polarity II), just at the point where
some particular “decay” begins and culminates via some form of unification (at
Unification II). This is not to say that a completely new set of alternatives
couldn't (and indeed must) be made an instant later...before that unification
is fully realized. Thus, for the human being, every decision to follow any
particular alternative entails a continuous commitment of ones insides and
outsides to form some historical decay resulting in some particular expression
of unification (Fig 2, Unification II/I).
That is, every connection can be thought of as a form of
death (for any historically present third-order complexity) and through that
death, (Fig. 2, Unification I/II) extinguishes
the utterly unique distinctions (Polarity II) of that moment. Thus, every
execution of every fourth-order alternative ultimately entails a hurling of
ones self into some petit mort, i.e. an ultimately unknowable future.
This natural (hopefully momentary) loss of distinctions through the self 's
ability to "choose" the manner to connect his/her inner surroundings
is the fourth-order equivalent of quantum indeterminacy that can be used to
describe the ZT explanation of free will. For example, we know if there
are no cars on the street, we know we can usually cross it without getting hit
by one but ultimately, crossing that empty street still holds a plethora of
unknowable risks (both internal and external) to our survival which we must
abandon ourselves to whenever we "choose" to cross it.
At the extreme of fourth-order complexity is the entire
human world: both body and surroundings (our ultimate binary opposites).
ZT posits that every bit of both can be thought of as an extraordinary set of
tools generated in order to create more and better behavioral alternatives for
the resulting, fourth-order complexity that ultimately can be used by that
complexity to bring about the nourishing and perpetuation of its own,
historical and/or individual (or collective) selves. Therefore, just as the
third-order complexities (as expressed in the third-order ZKB), bring the
“reality” of form (i.e. collapsed wave-function) into the cosmos, the
fourth-order, by generating more and greater alternatives (i.e. tools) creates
a completely new level of reality: a reality of "separate" objects,
events, personal thoughts and experiences...or qualia which are all
characteristics (oriented to some particular historical expression) that come
into being (and decay) as the internally contrasted aspects of the
binary relationship forming that fourth-order configuration. Thus the
generation of alternatives creates a brand new dimension within-and-as the
cosmos that can be described as the fabric of consciousness itself. It
represents the universe expressed in-and-as "consciousness" in the
uniquely fourth-order way. This fabric is always defined by the inclusion of
some “centralized” or historical frame of reference "sandwiched"
between a relative past and future in space- time that ultimately (as in truly
sentient beings) can result in expressions of consciousness sophisticated
enough to clearly objectify their own inner and outer surroundings and their
personal "existence" in relationship to those surroundings. Thus, the
observer is born together with its inner and outer surroundings.
Therefore, as introduced in Sec. 1.8, personal experiences
of phenomena, or qualia, are brought about when both the inner and
outer surroundings are fully internalized (at Polarity II) by-and-as the limits
of that qualia-laden event (i.e. self). For example, when we have caught a red
ball, the unification aspect of the ball meeting our hand gives rise to an
internalized experience made up of a self realizing the fact that his or her body
has caught a red ball together with many other, momentarily subordinated, inner
and outer circumstances that also helped to bring that experience about. Thus
we can proclaim, “I have caught a red ball!” However, rather than being
constrained to throwing the ball back in the same direction from whence it
originated, the catcher can re-arrange all of the (now fully internalized)
opposites that make up her own (inner and outer) content, and synthesize
many, many alternative directions that she can freely “choose” to throw the
ball; ultimately unifying her inside and outside once more through the chosen
alternative.
To reiterate what was mentioned above, this is not to say
that the actual existence of lower orders of complexity depends on any
fourth-order expression. Each order of complexity "experiences" in
its own version of the one, shared universe. However, the fourth-order’s
ability to transform inner and outer surroundings into tools, as a function of
its own unique ZT cycle can potentially incorporate lower-order expressions
(first, second, or third-order) of the "universe" into fourth-order
expressions. Thus, first, second, and third order universes are all necessary
to express the fourth-order universe, which, in turn has the capacity to further
“weave” those realities into unique fourth-order alternatives that collectively
form a new, tangible and measurable, order of “reality”. Thus, history, art,
culture, good tasting food, and brick sidewalks all can come into being. It is
this action, inherent at any level of biological life (although vastly
differing in degree of complexity) that ZT defines as the phenomenon of
"consciousness".
This completes the basic, ZT model for understanding how
unconscious and conscious expressions of space-time are each are formed,
interpenetrate, and are related. The model will now be applied to the
Double-Slit Experiment.
2.6 The Double-slit Experiment
The Double-Slit Experiment usually involves a single,
quantum level particle engaged in a wave-function being shot towards two
parallel slits, after which it travels onward to a photosensitive detector
screen set up at some distance beyond the slits. The first mystery
exemplified by the Double-slit experiment is that, rather than forming a
pattern that indicates the particle having gone through one of the two slits (as
is the case when only a single slit is present) and acting in a macro-level
particle-like manner, the single particle goes through both slits at the same
time by evolving into two separate and entangled wave-fronts. The dual
wave-fronts produced by this split then proceed to interfere with each other in
such a way that when the entangled sub-particles finally arrive at the detector
screen, they “collapse” again (via the third-order screen) into discrete,
single particle that appears only in one of the reinforced wave-crests of the
interfering fronts.
Why doesn’t a single particle (ZT polarity) just go through
one slit or the other? To answer this according to ZT, we must assume that the
third-order complexity of the double-slits does indeed present something that
requires a response by the particle/cosmos polarity i.e. can interact with but
ultimately cannot disengage the photon from its pre-existing first-order
complexity. As a first/second-order complexity, as soon as the single photon is
shot from the “gun”, it exists in a particle/cosmos polarity (i.e.
wave-function) with an equal probability to interact with both slits. However,
as described in Sec. 2.1 and 2.2, first/second-order complexities lack both the
ability to either "internally" generate any binary polarity that is
independent from the cosmos as a whole (third-order complexity i.e. collapse of
the wave-function) or to generate any "decisive" alternative choices
of behavior (fourth-order). Thus, the photon cannot “go through” one slit or
the other but rather, responds to the connection (i.e. unifies and “switches”)
with the double-slit screen by giving rise to two new and entangled "sub-
polarities" that (from its own perspective) still maintain their integrity
as a single first/second-order complexity with the entirety of the cosmos i.e.
wave-function (see Sec. 2.2). That is, by entangling with itself, the
particle/cosmos pair does indeed create a “switched”
historical event (i.e. polarity II) with the double-slits but the character of
that interaction is not sufficient to disrupt its existing first/second-order
complexity.
The second mystery of the
Double-Slit Experiment is; when an attempt is made to observe which of the
two slits the particle goes through by placing a detector at one of the slits,
the potential for the particle/cosmos to split into an entangled state is
immediately destroyed and a single particle-like pattern (as opposed to the previous interference pattern) registers
on the final detector screen as if the particle suddenly became a macro-level
particle. How is it that the first/second-order complexities seem to “know”
whenever it is being watched? According to Zen Theory any freely moving
particle(s) sharing a binary relationship with the cosmos as a whole (as a
wave-function) cannot be physically integrated into some other stabilized
third/fourth-order complexity and still retain its original relationship with
the cosmos. It is thus being suggested that in the case of the Double-slit experiment,
by adding a new way (via some set of tools) for our scientist (the
ultimate fourth-order agent) to “detect/observer” which slit the particle goes
through, an actual physical re-ordering takes place whereby the “particle” is
definitively wrested from its first/second-order state and transformed into
part of a fourth- order alternative i.e. tool oriented to observing
scientist(s). The ZT assertion is that it is this fourth-order re-ordering that
physically redefines the particle as part of a fourth-order complexity
and in so doing collapses the wave-function of the first/second-order particle
thus rendering it observable as separate from the cosmos as a whole. This is
indicated on the final detector screen by it registering the particle as
exhibiting only a particle-like pattern of “hits” after some yes or no
alternative has been detected at one of the double slits. That is, after
the photon goes through one or the other slits, the wave-function of the
first/second-order particle/cosmos polarity immediately re-forms but in a way
that is not entangled with itself and thus yields a “particle-like” pattern on
the third-order detector screen consistent with quantum probability for an
un-entangled particle (i.e. two areas of frequent “hits” coinciding with each
of the two slits).
The third mystery of the Double-slit experiment is that when
the detector remains at the slit but is turned off, the entangled
wave-like behavior returns. This observation now becomes perfectly logical
because once the possibility for an observer to transform the particle/cosmos
complexity into either a yes-or-no fourth-order alternative is removed, the
first/second-order complexity remains outside the scope of any potentially
transforming fourth-order influence and its first/second order state is
naturally maintained. The turned-off detector (i.e. disconnected from any
fourth-order agent) by itself is simply a mechanistic third-order complexity
and as such is utterly incapable of influencing the particle/wave in any
significant way (unless set directly in the physical path of the photon/cosmos
polarity). Of course in all set-ups, the final detector screen will always
bring about a mechanistic third-order wave-function collapse due to its
physical location directly in the path of the photon/cosmos pair.
It should be stated that the ZT explanation for the
double-slit experiment also allows for the particle/wave-function to be
collapsed by something (e.g. a stray particle of sufficient energy that is
independent from either the double slits, detector, or the detection screen)
intervening from outside of the experiment so long as the intervening
complexity is able to physically influence the
first/second-order particle/wave to a sufficient degree. But, it is only a
fourth-order complexity that can collapse the wave-function through conscious
inference alone (i.e. conclude that because the particle didn’t go through one
of the slits it had to go through the other).
2.8 In Conclusion
In conclusion, we have shown that by suggesting that everything
as divisible into sets of binary opposites engaged in a specific cyclical
change and organized through discrete orders of topological complexities, clear
relationships between heretofore disparate features of the natural world such
as the speed of light, quantum gravity, the collapse of the wave-function, as
well as the nature of consciousness can be identified. From the identification
of these relationships, a simple and elegant explanation has been suggested for
the Double-slit experiment. If this is true it would suggest that entire cosmos
might accurately be described as a single, great, yet almost infinitely varied
cyclical function and that the principle that ultimately gives rise to
reflective consciousness arises and is present within this great cycle at its
most fundamental level.
I have recently read an interesting book called “Our
Mathematical Universe” by Max Tegmark. In it, Professor Tegmark posits that our
universe, as well as any possible others, are able not only to be represented
or described through mathematics, but that all possible universes actually ARE
expressions of mathematics. This proclamation has emboldened me to give
voice to my own, similarly radical suggestion about the ultimate conclusion of
Zen Theory. Specifically, that Reality is best described as the evolution of
relationships between binary opposites and that that relationship is
universally characterized by the co-dependent and cyclical interplay between
unity and polarity. That is, because the ZT cycle as well as the relationships
between the different levels of organization brought about through that cycle
are precisely the same as those expressed through any of our most intimate
human examples of either parental, filial, fraternal, or romantic love,
(namely, the relinquishment of egocentricity i.e. static polarity, through
merger with some aspect of our surroundings) I will be bold enough to assert
that Zen Theory concludes that all of time and space can just as accurately be
described as nothing but the pure, unborn, undying, and infinitely varied
action of Love itself. That is, ZT shows that the same principles which shape
all expressions of human love (i.e. the human “self” defining itself through
its relationships rather than as an independent object) are algorithmically
identical to those that shape the interactions between everything else, from
the smallest quantum-level particles to the ever-repeating, birth and death
cycles of the entire universe.
* Schrödinger's Cat
Note that from the perspective of Zen Theory, the
Double-slit Experiment is very different from the famous thought experiment of Schrödinger's
Cat. In Schrödinger's experiment, a cat is hidden in a box and a poison
pellet has a 50-50 chance of being released within that box. Schrodinger
suggested that, just like the entangled split that happens to a single particle
in the Double-slit experiment, the cat would similarly exist in a both an
"alive" and "dead" super-position until some outside
observer looked into the box. In the Zen Theory model there is a clear
description for how and why quantum-level entangled
states come about (as first and second-order complexities) and why they do not
come about at the third-order (or fourth) of complexity (Sec. 2.2 and 2.3).
Thus, from the ZT perspective, the entire system inside the box exists as a
third/fourth-order complexity from the very beginning. Cats, boxes, and
poisoned pellets (all third and/or fourth-order expressions) all have the
capacity to transform any quantum-level indeterminacy introduced by a
first or second-order wave-function (used to either release the poison or not)
into higher-order complexities (ones not defined by their relationship to the
universe as a whole) in a ways that do indeed have their own third/fourth-order
expressions of indeterminacy but these form of indeterminacy are not
dependent on any observer outside the box to decide their outcome. That is to
say, in ZT, cats, via their own fourth-order complexity, have the innate
ability to die from randomly dropped third-order poison pellets without any
need to be externally observed. Thus, by no longer needing an outside observers
to collapse the wave-function there is no longer any need to spawn parallel
universes (where identical cats don’t live out the "other" alternative)...it’s
all just a question of how complex a system is. Thus, ZT offers a solution to
Schrödinger's Cat that suggests at least one reason to doubt Everett's
Many-Worlds Interpretation (and all its variations) for explaining the nature
or relationship of a super-position to either the quantum or macro level of
reality.
**The Alternating, Fine-tuned, ZT Universe
Applying the ZT model to the universe as a whole yields some
interesting and elegant results. Like everything else mentioned above, all
expressions of reality can be described in ZT by first positing two,
complementary opposites cycling from unified to polarized states. From this, if
we try to create a ZKB reflecting the action of the whole universe, then the
first thing that needs to be established is the defining set of binary
opposites. In the case of the universe as a whole, the pair of opposites that
might be construed as the most abstract and fundamental (even more abstract
than the “relative” distinctions of “largest” and “smallest” i.e. first-order complexities)
might be simply “positive” and “negative”.
As in all other examples based on a ZKB topology, the points
of perfect unity (Fig. 2, Unification I and II) represent the opposites
combining into a perfect state of homogeny. This homogeny is also corresponds
to the most contracted point topologically possible. Although such a point
temporarily unifies the binary pair, their momentum (i.e. capacity for change)
is maintained. Thus, the opposing orientations are forced to “pass
through" each other and invert (see Fig. 7). This initial switching would
correspond to the “Big- bang” at the universal scale, and would result in the
birth of a positive-on-outside- negative-on-inside (white on outside, black on
inside) universe similar to a third/fourth- order ZKB model and producing
either a matter or anti-matter based outcome (see Sec. 2.3).
This switching of opposites (similar to third and
fourth-order complexities), creates a “moving wave" of the "now"
(see top of Fig. 7) which would correspond to the inflation and continued
expansion of the universe. According to the universal ZKB (Fig. 7) the “ripple” of the new, “existing” universe expands into its
own future by the progressive “switch” with it’s own pre-big-bang-past along
its entire length.
Perhaps this might suggest a simple way to explain the Dark
Energy mystery (another phenomenon for which current scientific models offer no
accepted explanation). That is, at the edge of the switching "ripple"
of change, our space-time is literally "ripped" into existence by the
crisscrossing of the universal, binary opposites. Thus, it is the primordial
and fundamental version of the ZT cycle that naturally creates the energy
responsible for the expansion of empty space otherwise known as Dark Energy.
Interestingly, the speed (i.e. expansion) of these universal
switching opposites would not be limited by the speed of light (as are all
relative historical events within the cosmos). Remember, ZT defines the
speed of light as the fastest rate at which a single particle can unify and
polarize with the entire cosmos (Sec. 2.2). The binary opposites that give rise
to the entire universe are far more fundamental than this, thus the limit of
the rate at which their “switching” occurs cannot be defined or limited in the
same, relativistic way. Likewise, the curvature of the universal ZKB does not
represent either mass or gravity as it does in the usual sense for all curved relative
ZMSs or ZKBs embedded within the universe. Although the principle of
evolving-through-curvature is identical with relativistic examples, the
resulting gravity cannot be coordinated with any particulate expression of mass
as is the case for all second/third/ and/or fourth-order complexities. Thus the
expanding and contracting curvature of the Universal ZKB is not oriented
towards relative mass i.e. it is non-contractive. Rather, this dark energy directly
forms and expresses the shape of the universe as the two fundamental binary
opposites are switching with their previous, inverted manifestation.
What is expressed is the birth, growth, and the inevitable
drawing down of one universal cycle and the beginning of the next...or rather,
a fundamental and gradual transfer of kinetic energy from one binary pair back
to its own inverted expression. Therefore, whatever it is that
"powers" the switching of primordial opposites and their polarizing
inflation will be the same force that dissolves that polarized condition (aka.
entropy) back to a perfect, shared state of homogeny. However, unlike a third-order
ZKB, the universal ZKB has nothing (i.e. is not embedded with a larger set of
binary opposites) externally dictating its form beyond the perfect
synchronicity of its own, fundamental opposites.
Finally, (but perhaps most importantly) because the single,
unified aspect of the universe is divisible into two perfectly equal binary
opposites, the quality of the space-time that their overlap creates must
express the same, unique and perfect balance inherent in the original, equal
pair. Perhaps this initial, perfect balance between opposites is the reason why
the extremely unlikely and precise conditions i.e. the “fine-tuning” that
allowed for the formation of complex atoms and, finally, life itself, was able
to be realized within our universe. If that is so, then ZT suggests that this
fine-tuning will not only be inherent within this universe but will likewise be
expressed, to the exact same degree of precision, in the next, anti-matter
universe (that will be the ultimate outcome of the de-polarization i.e.
entropy, of our own, matter-based universe) as well as in the endless stream of
alternating universes to come.
Fertig.
Copyright © 2014 William M. Ekeson. All
rights reserved under U.S. copyright.
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