GEORG CANTOR (1845 -1918)
ANCIENT
WISDOM MODERN SCIENCE
© Copyright
July 2022, Edward R Close
Introduction
For most readers, the
last post should probably be considered a prerequisite to reading this post. Because
the subject matter is complex and interconnected with some concepts explained
in detail in the last post, even if you have read it, re-reading the last post
is probably a good idea before proceeding with this one.
Describing experiences
of consciousness expansion that have resulted in the awareness of additional
dimensions in a way that someone who has no conscious awareness of such
experiences can understand, is very difficult, but not impossible. It is like
trying to describe a rare tropical fruit to someone who has never seen or
tasted such a fruit. To convey an idea that has any resemblance to the
experience, it is necessary to resort to comparing it with something that the
person knows about that is similar to the thing one is attempting to describe.
If there are no handy analogies, then we must rely on the weight of axiomatic
logic and empirical evidence.
A Practical Approach to
the Direct Experience of Quantum Reality
Most psychologists,
parapsychologists, bio-psychophysicists, and other post-materialist scientists,
agree that consciousness is the only thing we actually experience directly. On
the other hand, material objects, assumed to be discrete, separate, and outside
the boundaries of the directly accessible domain of our consciousness, are
perceived indirectly as a result of patterns of vibratory energies radiated
from external objects to impact the receptors of our sense organs, and then be
processed internally.
The impacts of incoming
energy packets on sense receptors create patterns of electrical impulses
corresponding to the spacetime patterns of the external objects. These patterns
of electrical impulses are conducted along highly specialized neurological
pathways to the brain where mental images are formed that are virtual models of
the physical forms of external objects.
Finally, the images are
interpreted by consciousness as current information about external objects and are
used to react to the external reality and they are also stored for later comparison
with new images created from energy impulse patterns that are constantly
arriving from outside the physical boundaries of individual consciousness. In
this way, conscious beings gradually expand and fine tune their awareness of
the external environment in a process we call learning.
Images created within
the consciousness of an individual can be either objective or imaginary. At
this point in the process of spiritual evolution on this planet, experiences of
internal objectivity are rare. Most of the real time brain activity results in
imaginary, rather than objective conceptualizations. Brain cells are very
sensitive to the slightest stimuli, including minute piezometric physical
pressures, changes in electrical potential, chemical processes, and even the subtle
impact of bioluminescence.
Despite the efforts of
consciousness to manage brain activity, the relatively random stimulation of
brain cells can cause energy transfers across synapses (the gaps between
neurons) linking unrelated stored images and/or verbal memories to form all
sorts of garbled images whose forms and structures reflect reality to some
extent, but do not necessarily correspond with objective patterns of reality.
This is especially true when an individual is not focused on goal-driven
activities or during periods of relaxation and sleep. We call these garbled
images dreams. This is why it is necessary for most of us at this point in time,
with our low level of planetary mental and spiritual virtue, to study and use
time-honored meditation techniques to “become still and know” that the Primary
form of consciousness is what has traditionally called “God”.
The physical body, or
more accurately, the brain and central nervous system, consisting of sense-organ
receptors, energy-conducting neurological networks, and electrochemical impulse
processing centers, supported by the skeletal and muscular structure of the body,
acts as a temporary vehicle for quantized consciousness and as a sending and receiving
station in the field of vibratory energies that comprise the universe we live
in. The purpose of the physical relaxation and mental focusing methods like
those of hatha yoga, one-pointed Zen concentration, or Sufi dancing, and the various
forms of prayer and religious contemplation, is to still the uncontrolled
semi-random confusion of distorted thoughts and mental images so that the innate
logical structure of pure, undistorted Primary Consciousness can be received.
Meditation techniques
are practical methods designed for eliminating static and tuning the receiving
apparatus of the brain and central nervous system to the radiating frequencies of
Primary Consciousness. This is easy enough to describe, but very difficult for
most of us to achieve. When the body is completely relaxed and the mind chatter
has been stilled, certain archetypical inner-objective phenomena begin to appear
as light and sound phenomena. The objectivity and clarity of these inner
manifestations of spiritual reality received through the spiritual senses are
typically more vivid and real than the sights and sounds of the physical world
received through the physical senses.
Depending on the
individual soul’s level of mental and spiritual advancement, and possible affiliation
with a specific spiritual or metaphysical lineage, various forms of the astral
light of the spiritual eye and/or the causal sound of the creative cosmic energy
emanating from the Primary Conscious Source, may be seen and heard by focusing
on the sensitive areas, above and in front of the eyes, and to either side of
the medulla oblongata, behind the ears.
At first, the astral
light coming into your consciousness from the point above your physical eyes may
look like white waves swirling in a deep royal blue field. This has been
likened to the wings of a descending dove. The astral light may sometimes form the
image of a human eye looking at you, a rapidly spinning ball of fire, or a star
surrounded by a golden halo. The sound emanating from the medulla may sound
like rushing waters, or like the humming of a huge motor that vibrates and may produce
periodic thumping or knocking sounds. The written and spoken forms of aum, om, amin,
and amen are vocal sounds used to mimic the basic sound of creation,
interpretated as meaning “so be it.”
After a while, as the
conscious focus of the individual intensifies, the energies of light and sound will
merge, first with each other, and then with the energies of the processing
centers in the spine. When this happens, the five electrical energies are felt
to withdraw from the physical sense organs and converge to form a 360-degree state
of awareness, and all of the life functions of the physical body slow down and become
suspended, including breath, heartbeat, and ego identification with the body.
This elevated state of consciousness, described earlier as the threshold of the
four states of consciousness, is not only the threshold of rebirth and entry
into spiritual life, but it also brings “peace beyond understanding” to the
mind, and extends the life of the physical body by at least the amount of time
spent in this state.
In this OBE-expanded fourth
state of consciousness, (after waking, sleeping, and dreaming) everything from the
quantum scale to the galactic and cosmic scale is experienced directly as part
of one’s own consciousness. After an OBE, when returning to identification with
a physical body, memory of the OBE may be lost, partially retained, or fully
retained depending on a number of factors, the most significant of which is the
relative state of mental and spiritual development of the individual. If the
OBE is caused by a very traumatic experience like a NDE, or was experienced
after death, or just before the next physical birth, the shock of the
experience may obliterate the memory. After many births, lives, and deaths, the
transition gradually becomes less traumatic, and a more complete memory of the
event may be retained. When some of the abilities of the unfettered soul are
retained and are accessible in the physical body, they will likely be
considered to be “gifts” or siddhis when used by the individual in the physical
world.
Experiencing The Dimensional
Domains of Reality - A Guided Tour
Having experienced the dimensional
domains personally, during three NDEs and a number of less traumatic OBEs, that
were both spontaneous, and resulting from the practice of consciousness
expanding Kriyas, what I propose to do, is take you on a guided tour of the dimensional
domains of reality. Most people believe that we exist in a world of three dimensions
of space and one of time, that all of us see and experience, and that other
dimensions, if they exist, are somehow hidden from us. Questions I often get
from those who have heard me speak about the nine dimensions of reality are: What
are these other dimensions? Where are they? and why can’t I see them?
These questions are wonderfully
perfect examples of the type of questions Gödel’s incompleteness theorem
predicts. They are perfectly reasonable questions, logically articulated in
plain English, that cannot be adequately answered in the logical system within
which they are conceived. To properly answer these questions, we must look at
the a priori assumptions behind them and hope to correct the errors and/or
inadequacies that we find there. And that, of course, is exactly what we’ve
been attempting to do in this series of posts. So, what are the assumptions behind
the belief that we exist in a world of three dimensions of space and one of
time, dimensions that we think we see, that prompts us to ask; What are these
other dimensions? Why can’t I see them? And where are they?
The main problem is the erroneous
assumption that we see dimensions. I have taken some care in these posts to
point out that this is not true. Recall that Einstein said: “Time and
space can claim no existence of their own. … Time and
space are not conditions of existence, spacetime is a model for thinking.” His point
was that the dimensions of space and time are simply useful concepts for describing
the extent and dynamic nature of material objects. No one sees dimensions.
We see material objects, and they have measurable dimensions. Why can’t we see the
other dimensions? Because we don’t see dimensions, we see the objects that require
them for objective expression. If there are existing objects that we cannot see,
then there may also be dimensions we are not aware of. Are there realities we
cannot see?
Spiritualists and religious people say “Yes!” Materialists and atheists
say “NO!” And proponents on both sides are convinced that they are right! Skepticism
is justified, but absence of proof is not proof of absence, and science based
on belief is science that will change. Can we see things that don’t exist, and
not see things that do? Of course! Let’s continue.
Einstein also agreed with his friend Max Planck that there is no
matter as such, behind the appearance of matter is a force, and behind that
force is an intelligent mind, Furthermore, he said: “Matter is spirit reduced to a point of visibility. There is
no matter.” And no one has seen an
electron with their own two physical eyes; so, yes, we do see things that don’t
exist, and fail to see things that do, and the discovery of non-material gimmel
using mathematical logic and LHC data proves that there are aspects of reality
that require dimensional domains beyond three dimensions of space and one of
time.
What Einstein did not realize, or, if he did, he was not prepared
to talk about in those days to avoid losing his standing as a physicist, is
that mass and energy are also simply useful concepts for describing the measurable
content of dimensional domains, that allow us to think about and describe objective
reality in the same way that space and time are simply useful concepts for
describing the extent and dynamic nature of material objects. The measurement
variables we call mass and energy, have no more existence of their own than do
the measurable variables we call the dimensions of space and time. It’s the
reality behind the measurements that are of interest, not the measurements
themselves. But this is a subject for another time. The focus of this post is
dimensions and dimensional domains.
The guided tour begins with the identification of an arbitrarily
chosen zero point because we need a starting point. But don’t confuse zero with
‘nothing’, there is no such thing as nothing. Zero is our starting point from
which to conceive of a series of dimensional domains. As such, it becomes the
reference point for the whole tour, tying it to our conscious experience of
reality. It may be useful on this tour of
dimensional domains to think in terms of sets and subsets again: Zero is the
null set in the potentially infinite set of dimensional domains. Mathematicians
think of such points as mathematical singularities, but on this tour, we need not
be overly concerned with what mathematicians think. We need only think of points
on a line created by extending the zero point. Our zero is the null or ‘empty’ set,
and the line is the first leg of our tour, a dimensional domain containing an
infinite number of points, identical with the zero point, no matter how short
or long the line may be. Thus, the concept of infinity enters the picture on
the very first leg of our tour of dimensional domains.
As we move on, our second dimensional domain is a plane, created
by a sideways movement of the line extended from the reference point. An area
of the plane, regardless of its shape or size, contains an infinite number of
lines identical to our first dimensional domain. Our third dimensional domain
is a volume that contains an infinite number of planes identical to our second
dimensional domain. Thus, we are seeing a sequence of dimensional domains that have
increasingly larger capacities to contain all of the infinities of points
located in the prior dimensional domains. Potentially an infinity of
infinities!
At this juncture in our tour, I will point out to you that the
third dimensional domain is the first stop on the tour that has the capacity to
contain anything other than dimensionless points. This fact turns out to have
great significance in our understanding the nature of dimensions and
dimensional domains. This is very important to appreciating the rest of the
tour. The infinity of infinities is as important on our tour as mountains are on
a tour of the Alps, so please let me explain.
The substantial reality we experience is made up of what we think
of as matter and energy. But, the starting point, plus the first and second stops
on our tour, i.e., the domains of the line, and the plane, contain nothing but
infinities of dimensionless points. They have no capacity to contain matter and/or
energy because even one quantum of matter, measured as mass, the resistance to
motion, has a finite volume, and energy, as expanded mass, requires even more
volume. In addition to mass and energy, something called consciousness exists. Our
consciousness exists, of course. Otherwise, I could not be writing this, and
you could not be reading it. And finally, we know from the work of Einstein and
Planck, verified by TDVP, that there is no such thing as empty space. What does
this mean? It means that dimensionless points, one-dimensional lines, and
two-dimensional planes, have no existence of their own, while mass, energy and
consciousness are three-dimensional and do.
As Einstein said: “Spacetime is a model for thinking. The
dimensions of space and time have no existence of their own.” The three dimensions
of space and one dimension of time are mental constructs to help us to think
about objects that actually do exist. So, has our tour of the point, line, and
plane, mental concepts that have no existence of their own, and no capacity for
containing anything but dimensionless points, a waste of time? No, because these
concepts help us to realize, in a step-by-step way, what dimensions really are,
not what we think they are, and how they relate to objects that actually exist.
Now that we see that dimensions and dimensional domains are ideas for thinking
about reality, not stand-alone parts of reality with an existence of their own,
let’s continue on with our tour of dimensional domains and see how studying
them helps us to think about the things that do exist in our experience of
reality, even things that we can’t see with our physical eyes.
Not only do the concepts of dimensions and dimensional domains
help us to think about reality, but also, as part of a logical system that is
internally consistent, they provide us with a way to move consciously from
domain to domain and describe that movement with mathematical precision. The
process of movement from a dimensional domain with N dimensions, to a domain with
N+1 dimensions, which I call dimensional extrapolation, once experienced, is
easy to envision and describe. [Note that N is restricted to whole numbers
because physical reality is quantized, and, as we have seen, so are dimensional
domains.]
Any standard unit of extent can be envisioned as the magnitude of
projection from any point in any N-dimensional domain. But, for simplicity, envision
the projection as one unit perpendicular to the dimensions of the N-dimensional
domain. Why perpendicular? In fact, the angle of projection does not have to be
90 degrees, but any other angle makes the envisioning more difficult, and more
importantly, it greatly complicates the mathematical description of it and
calculation of the location of the end point of the projection in the N+1
dimensional domain. The purpose of using a coordinate system and locating the
end point of each projection relative to the beginning point of the projection
and ultimately to our zero-reference point, is to tie everything on our tour to
real conscious experience with a consistent system of mathematical logic.
Most readers will find it easier to envision the projection as
perpendicular, and will find it more comfortable to envision the dimensional
extrapolation with Cartesian coordinates, rather than with angular values in polar
coordinates, or in any other system of coordinates, because most people have been
at least minimally exposed to the Cartesian system of coordinates in an elementary
math class, and even if not, anyone can google “Cartesian coordinate system” and
find an explanation with a simple diagram.
I use a natural system of coordinates in triadic rotational units
of equivalence (TRUE) a quantum application of the calculus of dimensional
distinctions (CoDD), which I found to be a very natural way to envision
dimensional domains; and the primary calculus adapted for symbolic logic provides
us with an easy way to determine existent from non-existent forms. – more on
that to come. - However, no knowledge of coordinate systems or abstract
mathematics is necessary to participate in this tour. Consciousness is the only
pre-requisite.
The reasons for minimally describing these mathematical concepts are:
1) to let you know that the statements I make are not random ideas thrown up
against the wall of contemporary science to see what will stick! They are
provable concepts resulting from the careful application of a well-thought-out
system of mathematical logic and meticulous empirical data from the Large Hadron
Collider, related to the electron. And 2) the mathematical analysis of the dimensional
extrapolation process reveals invariants in the relationships between N-dimensional
domains and N+1 dimensional domains that remain the same for every value of N.
(That’s why they are called invariants.) Moreover, they have been verified by direct
observation, and that brings us back to our guided tour of dimensional domains.
As we look back at the dimensional domains we have envisioned and moved
through by dimensional extrapolation, we see that each of the projections of
one unit each, from the zero point to the 3-D volume, added a new dimension to
the domain and the geometric shape of each successive domain. This means that
every point that exists in an N-D domain can be exactly located with N unique
numbers. Those numbers are the coordinates of that point. And we notice that the
geometric shape of each domain depends on the contents of the domain. We also notice
that we can see the N-dimensional domains only from the vantage point of an N+1
dimensional domain. For example, when we were in the 2-D plane, we could see
the 1-D lines and the zero-reference point among the infinity of points
occupying the lines, and after we projected into the 3-D domain, projecting 90
degrees above the plane, we could see the plane below us and everything in it. Therefore,
by extending the logic, we can say that we can only see or envision a 3-D
domain and everything in it from a 4-D domain, a 4-D domain, and its contents from
a 5-D domain, etc. Thus, we have discovered an invariant feature of dimensional
domains.
Discovery of this invariance is very important because it allows
us to explain how we know that the one dimension added to the 3-D domain is
time, how we know that the 3-D domain contains objects of mass, energy, and
gimmel, and why the time dimension we experience is unidirectional, and finally,
even what the dimensions from 4-D to 9-D are.
As we attempt to continue our tour and move from the dimensional
domain with three dimensions to the domain with four dimensions, we run into a
problem. We find that the integer unitary projection that worked when moving from
the line to the plane and from the plane to the volume, does not work to move
us into the 4-D domain! An integer projection, or any multiple of that
projection, produces an end point that is still located in the 3-D domain. We
know this because the end point of the projection can also be located with
three unique integer coordinates.
To move into the 4-D dimensional domain, the unitary projection,
and therefore the new dimension being added, cannot be an integer! At first,
this seems like an unexpected dead end or roadblock for our tour. There seems
to be no road to the next stop. In each of the previous projections from domain
to domain, calculation of the distance to the end point of each new projection has
been done by a CoDD application of the Pythagorean theorem, producing a new
expanded (in terms of the number of dimensions) dimensional domain in each
case. Suddenly it does not work for the next logical step of the journey! It’s
a paradox!
What are we to do? Is there a way forward? As I struggled with
what appeared to be impossible, facing failure, about eleven years ago, it was
almost as if Niels Bohr tapped me on the shoulder, saying “Paradox? –
Opportunity!” If the projection from 3-D to 4-D cannot be an integer, what
could it be? I will spare the reader the painful trial and error calculations
using rational fractions, irrational numbers, transcendental numbers, etc. and
act as if the logical answer were clear from the start. As often happens, though,
after hours of hard labor, it turned out that the answer was right in front of
me all the time.
Remembering that in our quantized reality (the physical universe),
dimensions of space and time have no existence of their own, and that the
quantum nature of mass and energy shapes the dimensional domains, I realized
why the process failed using 1 or any real number when projecting from 3-D to
4-D: At the point in the tour when the next dimensional domain suddenly has the
capacity to contain volumetric objects, not just dimensionless points, plane
geometry becomes solid geometry. The quantized units themselves become three
dimensional, and the third Projection, i.e., the projection from 3-D to 4-D,
has to become the third root of unity, i.e., the square root of minus one,
usually symbolized by the lowercase letter Ń–.
When the unique property of the square root of minus one was
discovered by mathematicians like Rene Descartes about 400 years ago, it was
called an “imaginary” number because it could not be located in
three-dimensional space, like the “real” numbers could. While understandable,
this choice of terminology was very unfortunate, because it set the
understanding of mathematics back a few centuries. The square root of minus one
is no less real than any other number. Why this is true is interesting, but it’s
a subject for another time. Back to our tour.
When projecting
from a dimensional domain with three dimensions into one with four, locating
the end point mathematically becomes more difficult because the limited number
of integer solutions obtained using the Pythagorean theorem are further reduced
from the Pythagorean triples to even rarer Diophantine solutions in accordance
with Fermat’s Last Theorem. The point is that the process of dimensional extrapolation
does not change when we attempt to project from 3-D to 4-D. The nature of the projection
from one dimensional domain to the next does not change, only the form of the unit
of projection had to change from the root of unity appropriate for the 3-D
domain to the root of unity appropriate for the 4-D domain. It changed from one
to the square root of minus one. In the process of the Pythagorean calculation,
the fact that (Ń–)2 = -1 helps explain the “arrow of time” in the experience
of 3S-1t.
It is important to note that the unit of projection is also the
unit of measurement of the added dimension. This means that if time is the 4th
dimension, as relativity has proved it is, then, for consistency, time should
be measured in multiples of the square root of minus one. If this indication is
ignored, as it is in current mainstream science, some important facts about the
geometrical structure of dimensional domains are overlooked. Those facts are:
1) After every third 90-degree projection, the unit of measurement changes to a
different root of unity, and 2) that change affects the nature of the experience
of the next group of three-dimensional domains.
For readers who might not know, a root of unity is a number that, when
raised to an integral power, is equal to one (unity). This may sound very
abstract and complex because most people who have not studied mathematics
beyond the computational level have never heard of the nth roots of unity, or
ever had to deal with them. However, the reality of the existence of different
roots of unity for each dimensional domain is actually very simple: Think of
the projection from an N-dimensional domain to an N+1 dimensional domain as a
bridge that must be mathematically and geometrically consistent with the
domains at both ends of the bridge for it to work, allowing us to move from one
domain to another.
The Dimensions Beyond Three of Space and One of Time
As we enter into the experience of the connection between the 3-D
domain and the 4-D domain, it is appropriate to ask ourselves if there is
anything we are missing or ignoring. It should not come as a surprise to realize
that that we are! As mentioned earlier,
your consciousness and mine exist; otherwise, we could not be having this thought
conversation. We have thoughts about the content and extent of dimensional
domains . When we thought about the movement of the zero point, there was the content
of our thought and the extent of the movement. Thus, in addition to the points,
lines, and planes, etc., we became aware of the distinction of extent between
inside and outside (of our consciousness) and the distinction of change, or
time. Thus, we are aware of five dimensions from the very start, as soon as we
are self-aware, not three, as most people suppose. Those five dimensions are:
three of space, one of time, and one of consciousness (your own). Why do we
pretend that we are only aware of three dimensions?
Put another way, why do we assume that only things outside the awareness
of self are real, and ignore the real content of self? The answer is simple: Once
we accept the separation of self from other, we see that everything out there
is constantly changing, and the only way to try to protect the comfort of the changelessness
we feel “in here”, is to pretend that we are not part of what is going on “out
there” to the best of our ability. We withdraw our awareness of the inner
objectivity of consciousness to a dimensionless point and pretend that it has
no connection with the changes of physical reality, like painful birth, growth,
decay, illness, and death. But, trying to ignore outer reality only makes it
seem even more real, and survival of the physical vehicle of our consciousness becomes
the imperative priority. How can we take time and effort to learn about the
objective realities behind physical reality at the quantum level if the physical
vehicle we are so intimately attached to is constantly in peril?.
The answer is as simple
as it is challenging: We must work to expand our consciousness in both
directions, outward, to encompass more of physical reality, and inward to
encompass more of the spiritual reality. So, reality is multi-dimensional,
with at least nine finite dimensions: including three of space, three of time
(my timeline, yours, and that of Primary Consciousness), and three of finite consciousness,
yours, mine, and the combination of many.
A Return to the Paradoxes
of Time and Infinity
This tour would not be
complete without returning to the resolution of the two paradoxes we discovered
while investigating assumptions and determining how TDVP conclusions,
consistent with the quotes from Einstein and Planck, conflict with current
common beliefs about dimensions and dimensional domains. Those paradoxes were:
The “Mind of God” paradox, found in the July 7 post, and the “Expanding
Universe” paradox, in the July 16 post. Let’s see how what we’ve learned on
this tour resolves these paradoxes.
Both paradoxes revolve
around profoundly erroneous assumptions about time, consciousness, and infinity.
Basically because of our fear of the pain and suffering of the physical body
that we have chosen to identify with, we ignore the dimensions of time and
consciousness that don’t seem to have anything to do with the day-to-day
survival of the physical body, and as a result, we limit ourselves to the
illusion of a 4-D universe that appears to be expanding from an ancient
explosion out of nothingness, into a future infinity of nothingness. This is
the greatest lie of all great lies. It was perpetrated by the Roman Emperor Justinian
I in his Anathemas Against Origen, forced on the Catholic Church in 553
A.D., in his effort to absorb Christianity into the Roman Empire, after the
truth of the immortality of the soul was preserved through the darkest of the
dark ages by a few spiritually advanced souls who reincarnated from the higher
ages for that purpose. See Part VI of Secrets of the Sacred Cube, a Cosmic
Love Story, ER and JA Close, 2019.
When, through
consciousness expansion in seven directions (Front, Back, Right, Left, Up,
Down, and Inward), we see through the single spiritual eye instead of
the two physical eyes, we understand that nine-dimensional reality expands out
of itself and back into itself at the same time - the time we call the present –
and the illusion dissolves.
So, what about the
paradoxes? It turns out that Georg Cantor was right. There are at least two
kinds of infinities. He called them “countable” infinities and “uncountable”
infinities: The smaller infinity, whose members could be counted by pairing
them up with the natural numbers (1, 2, 3, …), and a much larger infinity that
could not be paired with the counting numbers. It is a sad commentary on the history
of the science of mathematics that mainstream mathematicians rejected the
genius of Cantor and drove him to a nervous breakdown and death in a
psychiatric ward in Halle Germany, because of their narrow-minded materialism.
To resolve the two
paradoxes, it helps to think of the two types of infinities as geometrically open
and closed, or unbounded and bounded. This can be easily visualized by returning
to an analogy of points and lines. The countable infinities are analogous to equally
spaced points on a line representing the natural numbers (1, 2, 3, …), which form
an infinite, open or unbounded set, while the uncountable infinities are
analogous to the infinite set of points geometrically enclosed between the
natural number points, bounded by integer points on either side. So, the unbounded
infinities, the smaller type, cannot be realized in a finite universe, but the
bounded infinities, the larger type, can!
The mind of God paradox
is resolved because bounded infinity does exist within the finite
universe, and the expanding universe paradox is resolved because reality is not
limited to four dimensions. Nine-dimensional reality is expanding out of and
into itself in each present moment, like a giant toroidal MÓ§bius strip.
Summary and Conclusion
Finally, let’s
summarize the results of our analysis in these posts by comparing commonly held
beliefs about matter, energy, space, time, consciousness, and infinity, with objective
reality as it is revealed by the study of quantum physics, relativity, and
TDVP.
|
COMMON
BELIEF
|
REALITY
|
|
The rate of
the passage of time is uniform throughout the universe.
|
The rate of
the passage of time of an event depends on relative motion and the volumetric
mass-energy field density where the event occurs.
|
|
Space & time
are uniform throughout the universe, independent of mass and energy.
|
The geometry
of spacetime varies depending on quantum field density.
|
|
Simultaneous
events are independent of the observer and can be identified with
synchronized clocks.
|
Clocks measure
the local passage of time where they exist. Therefore, simultaneity is observer
dependent.
|
|
Space &
time are infinitely divisible.
|
Constant light
speed requires space and time to be 3-D and quantized.
|
|
Objective
reality is independent of the observer.
|
The measurements
and observable aspects of objective reality depend on the motion of the
observer relative to the measurable objects.
|
|
Objective
reality is limited to four dimensions, 3 of space and 1 of time.
|
Objective
reality is nine-dimensional, including 3 of space, 3 of time, and 3 of
consciousness.
|
|
Infinity is an
unattainable perfection.
|
Infinities may
be either open or closed. Closed infinities may be encompassed within the expanding
fields of consciousness.
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“Time is the only distance between what I am and what I
shall become.” – A line from the lyrics of a song written and performed
by Jacquelyn Ann Hill circa 1974.
“Time
and space are not conditions in which we live, but modes by which we think.
Physical concepts are free creations of the human mind, and are not, however it
may seem, determined by the external world.” - Albert
Einstein
Scientists, if they are honest, will admit that they have no
idea what consciousness is. This is because consciousness is identical with
reality, and therefore it is impossible to describe the reality of
consciousness in any way except in terms of reality itself, and such a
tautological statement is not a valid scientific definition.
A relentless investigation of the smallest quantum of reality,
the electron, reveals that it and the whole reality of the cosmos are one and
the same thing: self-referential isness - that which is all that is,
that happens to have the form of a nine-dimensional torus expanding out of and
into itself at the same time, and that time is the present.
ERC -7/31/2022
