DIMENSIONS OF SPACE,
TIME, AND CONSCIOUSNESS
In the last post, I
promised to answer two questions that are often asked about the Neppe-Close TDVP
model of reality:
“What are the three
dimension of time and the three dimensions of consciousness?”
Before I attempt to answer
these questions, I want to present a little more background, and discuss some
key concepts and definitions so that my answers can be understood in the proper
context.
Background
In 1985 and 1986, I
began the development of a quantum calculus, inspired in part by G. Spencer
Brown’s Laws of Form. Applications of the quantum calculus, which I called the
calculus of dimensional distinctions, led to a series of discoveries, and
eventually to the model of reality that Dr. Vernon Neppe and I call the Triadic
Dimensional Vortical Paradigm (TDVP). The early work I did from the 1950s until
about 2000, was documented and published in 1977, 1989 and 1997 (See the reference
list at the end of this blogpost). Dr. Neppe and I began working together in
2008, and we have published many of our findings in journal papers and the book
Reality Begins with Consciousness, first published in 2011, with several
editions since.
We discovered that not
only are human observations of reality through the five physical senses limited
to certain narrow bands of electro-magnetic energy and bio-mechanical vibratory
frequencies, but they are also limited to a specific number of dimensions and
partial dimensions. The additional frequencies and dimensions are not really
hidden, they exist all around us, but our physical senses are just not capable
of detecting all of them. Proof of this exists in a number of TDVP explanations
of conundrums and paradoxes that exist in the current mainstream paradigm. All
of these explanations coincide either exactly, or well within sampling and
measurement error, with verified experimental data.
A reaction that occurs
fairly often when I mention three dimensions of time is: “You mean Past,
present, and future?” No. Experience
shows us that we perceive the same dimensions in the past and future as we do
in the present. For conscious individuals, the first dimension of time is
experienced as a distinct sequence of experiences creating a series of mental
images -models if you will- of events perceived as happening at specific
moments along a one-way timeline. Before I explain what the other dimensions of
time and the dimensions of consciousness are, I must define exactly what I mean
by dimensions and dimensional domains, so that we are on the same page.
What is a dimension?
Most people are
familiar with the three dimensions of space: length, width, and height or
depth. But many are not so familiar with the way they are defined
mathematically. The concept of space is formalized in a mathematically logical
manner by defining an axiomatic system of measurements. Several systems have
been devised, including polar and spherical coordinate systems, but the most
widely used and understood system begins with Cartesian plane coordinates, developed
about four hundred years ago by the famous French mathematician Rene Descartes.
Descartes realized that
every point along a line could be uniquely located by a single number
representing the distance from an arbitrary starting point on the line. Designating
that starting point as zero, he constructed a second line extending from the
starting point perpendicular to the first line and found that every point in
the plane between the two lines could be uniquely located with two positive numbers,
called coordinates. This system of coordinates can be extended by constructing
a third line from the zero point, extending perpendicular to the first two
lines. Then, every point in the space defined by the three lines can be precisely
located with three numbers. Those three numbers are the distances on each of
the three lines from the zero point to the points where perpendicular lines
intersect at the location of the point of interest in three-dimensional space.
This formalization of the
three dimensions of space that we perceive through the physical senses can be
extended conceptually to more than three dimensions. For each additional
dimension, an additional number is needed to precisely locate any point. Traditionally,
a geometry with more than three dimensions has been called a “hyperspace”. Application
of the calculus of dimensional domains in the TDVP model revealed that
additional dimensions really do exist, and that we are emersed in a complex
geometry of more than three dimensions, but the dimensions beyond the simplest three
are not spatial. Additional dimensions beyond the first three are the measurable
extensions in time and consciousness.
When your consciousness
is expanded to include more than the planar dimensions described by Descartes, you
are not leaving this universe, transported into another dimension, plane, or
world, existing somewhere else, you are just becoming aware of additional
dimensions that already exist all around you. You just have not been aware of
them before. The addition of just one dimension to your domain of awareness,
however, transforms the reality you experience in ways that are almost
impossible to imagine before you experience them, and nearly as impossible to
describe, after you have experienced them. The mind-expanding ways in which
your perceptions of reality are transformed become exponentially more complex
with each added dimension.
Dimensional Domains
A dimensional domain is
defined as a finite portion of extent delineated by a specific number of
dimensions. In a quantified, infinitely extending multi-dimensional field, a
zero-dimensional domain is a point, i.e., a mathematical singularity; a
one-dimensional domain is a line segment; a two-dimensional domain is a specific
area of a plane; and a three-dimensional domain is a specific volume of space. The
awareness of the domain of three dimensions containing matter, energy, and
conscious entities, is only possible with the awareness of a moment of time existing
on the fourth dimension, and the integrated experience of consciousness on the
fifth dimension. Together, they comprise the experience of being a conscious finite
self-aware being. Every conscious being is actually aware of a dimensional
domain of three dimensions of space, partial awareness of one dimension of time,
and one dimension of consciousness.
When your consciousness
is expanded to become aware of more of the dimensions of reality, you find that
time and conscious extent have the same basic dimensionometric pattern as space,
because they are all reflections of the logical patterns of Primary
Consciousness, the substrate of reality. In order to contain objective mass,
energy and gimmel, space has to have length, width, and depth. (See
references on the discovery of gimmel, the non-physical third form of reality) Time
and consciousness also contain images of events comprised of matter, energy,
and conscious impact. Thus, they must also have dimensional extents of length,
width, and depth.
Space, Time, and
Consciousness, Mass, Energy, and Gimmel
Space, the simplest
form of structural extent, appears at first glance, to be independent of the
consciousness of the observer, but space is actually part of the
multi-dimensional space-time-consciousness triadic dimensional domain,
reflecting the logical structure of reality. The interdependence of space, time
and consciousness becomes more obvious when we investigate the conscious
experience of time.
As individual
consciousness expands to include the awareness of the additional dimensions, it
becomes clear that reality has six measurable primary components. Three of them
are measured with variables of extent. They are the dimensional domains of space,
time, and consciousness. Three are measured with variables of content. They are
mass, energy, and gimmel. The variables of extent are dimensions while variables
of content measure the impact of the three essential aspects of finite reality.
They occupy dimensional domains but are not dimensions themselves. Dimensions simply
define the extent of space, time, and consciousness needed to contain the three
essential forms of reality. Dimensional domains are occupied by various
combinations of the three essential components of finite reality: mass, energy,
and gimmel.
The Three Dimensions of
Time
Now, let’s return to
the discussion of the three dimensions of time: As I said above, the first
dimension of time is experienced by a conscious entity as a distinct sequence
of events in a series of mental images along a cause-and-effect timeline in individualized
consciousness. When the cause-and-effect timeline of a second individual
intersects with that timeline, the resulting time structure is analogous to a
plane in space, and when the timelines of three or more individuals progressing
different directions with regard to the expansion of spiritual awareness interact,
that is represented mathematically as existing in three dimensions of time.
The Mathematical
Structure of Reality
Application of the quantum
calculus of dimensional distinctions to the interactions of the contents of
reality (mass, energy, and gimmel) quantified in quantum equivalence units [also
called triadic rotational units of equivalence (TRUE)], in the dimensional
domain of the six dimensions of spacetime, reveals the basic mathematical
structure of reality: As the domain of awareness expands from three dimensions
of space to include a dimension of time, the appropriate units of measurement change
from integers to imaginary numbers. After three dimensions of time, in order to
expand into dimensions of consciousness, the units change from imaginary
numbers to complex numbers. [For readers with formal training in advanced number
theory: The unitary projection from a 3n-dimensional domain to a 3n+1 dimensional
domain, (n=1,2, 3…) is the principal primitive (3n+1)th root of
unity.]
The quantum calculus of
dimensional distinctions mentioned above is applicable to the multi-dimensional
domains of space, time, and consciousness and their contents because those
contents, while not measurable in variables of extent, are composed of
multiples of distinctions (TRUE) creating the various dimensional domains.
This analysis leads to
the conclusion that the quantized dimensional domains of space, time, and
consciousness include three finite dimensions of time and space plus three
finite dimensions of consciousness, totaling nine finite dimensions, and the
quantized aspects of the essence of reality have three primary forms each,
totaling nine finite quantities. The three, six, and nine finite dimensions and
the three, six, and nine finite forms defining the logical structure of quantized
reality are reflected in the geometrical and numerical structure of pure
mathematical logic in several ways in addition to the three main types of
numbers: the natural, imaginary, and complex.
The nature of
dimensions of expanded consciousness existing beyond the finite quantized nine-dimensional
domain, and how they relate to the infinitely continuous field of the substrate
of reality that I have called Primary Consciousness, are beyond the scope of
this post. But the elegance of the three- six- and nine-mathematical logic
running through the stable structures of the physical, mental, and spiritual
realities that we experience is so striking that it warrants a much more
detailed presentation than I have provided here; but that discussion is also beyond
the scope of this post.
My intention in this
post is just to provide the basic context within which the space-time-conscious
dimensionality and mass-energy-gimmel content of reality, as modeled by the Close-Neppe
Paradigm, can be understood. The last, and most challenging step for me is to
describe what I mean by the three finite dimensions of consciousness. To do
this, I must try to describe what reality must look from the vantage point of
Cosmic Consciousness. I must do this based on a few brief glimpses of my own and
the words of a few exceptional souls who have attained the ultimate goal of
existence.
Education and the Expansion
of Consciousness
To explain what I mean
by dimensions of consciousness, it is necessary to clear up some common
misconceptions. The reality we experience is quantized by the conscious drawing
of finite distinctions of mass, energy, and gimmel in the quantized dimensional
domains of space, time, and consciousness. Because of this quantization and the
conservation of mass and energy, dimensionless points (mathematical
singularities), and the first two dimensional domains defined above: one-dimension
lines, and two-dimensional spaces, do not exist in our physical universe, because
they cannot contain even one quantum of the essential forms of reality, consisting
of quantized mass, energy, and gimmel. All three forms are volumetric, and
thus, no dimensional domain with less than three dimensions can contain combinations
of the essential forms of physical reality.
What does this have to
do with understanding and the three dimensions of consciousness? It is
important to recognize that the physical universe is not infinitely continuous,
but consciousness is, and that our physical senses detect energies that are
discretely quantized in order to allow us to experience finite structures as
distinctions within the infinitely continuous substrate of consciousness.
The non-existence of
zero-dimensional points, one-dimensional lines, and two-dimensional planes in
quantized reality, makes the infinitesimal calculus of Newton inappropriate for
application at the quantum scale of existence, but mainstream science has
failed to recognize this for more than one hundred years since Max Planck
discovered that reality is quantized, and Albert Einstein demonstrated that
measurements of space and time are dependent upon the quantization of relative motion
within the maximum limit of light speed. The inappropriate application of
infinitesimal calculus to quantum calculations has led to the so-called
“quantum weirdness” so often highlighted by mainstream physicists, but now,
application of the quantum calculus of dimensional distinctions and the
discovery of gimmel removes quantum weirdness from science.
Mainstream science has
been stagnated in the false belief system of dialectical materialism for nearly
one hundred years, causing modern science to devolve into scientism, a
well-organized atheistic religion, relegating consciousness and spiritual
evolution to the realm of mythology and fantasy. Scientism embraces the
unprovable negative assumptions of atheism and the worship of artificial
intelligence (AI) as the savior and God of the future. AI materialism is the current
reincarnation of the idolatry that the Spiritual Masters have always warned
against.
Over the past sixty
years since I first started teaching mathematics, I have watched education in
this country slowly disintegrate and devolve into a series of social
experiments driven by dialectic materialism. Under the authoritarian rule of scientific
materialism, public education has become little more than governmental indoctrination
and social engineering. The memorization and regurgitation of establishment-approved
data and beliefs is falsely equated with learning. Enrollment in courses that
improve logical thinking and critical reasoning is no longer encouraged because
of the potential of producing students who might challenge the authority of
government indoctrination.
The real process of
education was intended to expand individual consciousness into a greater
awareness of physical, mental, and spiritual reality. Rather than being forced
to accept someone else’s beliefs, and being told what to think, students should
be taught to think clearly and logically for themselves. They should be given
greater access to the works of the great thinkers of the world, and they should
be encouraged to expand their awareness and knowledge of the dimensions and
content of reality. The social and political indoctrination that we are seeing in
our public and private schools today, rarely lead to any real learning and understanding,
and almost never to spiritual growth or wisdom. Our current educational
institutions are pushing ideas and beliefs that contract awareness rather than
expand it, as education should.
The Three Dimensions of
Consciousness
The dimensions of
consciousness are meta-dimensions. By that, I mean that they contain within
them all of the finite dimensions of physical reality. They are not empty
points, lines, and planes. The first dimension of consciousness is defined by
the trace of the individual awareness of being, the distinction of self from
other. The evolution of this awareness can be positive, negative, or stationary
with regard to the goals of conscious spiritual evolution. Therefore, this
trace can be represented as a line of events, or a lifetrace in the
field of consciousness, but this line is not one-dimensional. Each point on the
line is volumetric, i.e., at least three-dimensional, with content and extent that
have meaningful impact on the consciousness of the individual.
The second dimension of
consciousness is created by the awareness of two intersecting individual
lifetraces. Their intersection implies the existence of a quantum plane of
consciousness, whether the individuals are aware of any more than the quantum
of intersection or not. When additional traces, trending in different
directions than the first two, with regard to the overall spiritual growth of consciousness
expansion, are perceived, three dimensions of consciousness are revealed.
Implications of the
nine-dimensional model.
The mathematical
inclusion of consciousness in the TDVP model of reality expands the scope of
scientific analysis in ways that will probably take years to explore and
require volumes of documentation. But this discussion of the implications of
the TDVP model will be brief, meant only to indicate some of the potential
phenomena we can investigate, and some of the directions that the research may
go.
At this point in the
planetary time cycle, due to the current low level of the average physical and mental
ability and spiritual virtue compared to the real human potential, the progress
in consciousness expansion for the majority of the Earth’s human population is
hardly noticeable during one lifetime. But, since the progress can be
accelerated by focus and consistent application of effective consciousness
expansion techniques, it is of interest to have some knowledge of what experiences
of some of the various states of expanded consciousness are like.
Once again, I find that
I need to define some of the concepts relevant to consciousness expansion in a
little more detail. The extent of awareness along each dimension of the domain
available to an individual sentient being is limited by the focus and range of
operation of the physical, mental, and spiritual senses of the individual. For
example, due to being able to perceive, travel, and remember, an individual may
have a considerable spatial awareness of the physical world, with a limited
awareness of one dimension of time and one dimension of consciousness.
A large number of states
of partial and/or total awareness of the nine finite dimensions of reality are
possible relative to the current state of awareness of the average individual.
For example, if an average person alive now, with the normal awareness of a
domain of three dimensions of space, and partial awareness of one dimension of time,
and partial awareness of one dimension of consciousness, were to expand his or
her consciousness to include significant extended awareness of time and
consciousness dimensions in his or her cognitive domain, then that person would
be considered to be very psychic by people limited to the general level of
consciousness in today’s world. That person would “see” past and future events of
his/her experience, as well as those in the consciousness of others. A person
with extended awareness of any dimension of time or space would be considered “gifted”
by the standards of today’s society.
ERC – 10/24/2021
LIST OF References
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Library of Congress Catalog # 77-87461, Libra Publishers, New York, 1977
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Close, ER & JA: Secrets of
the Sacred Cube, A Cosmic Love Story, Outskirts Press, 2019, ISBN 978-1-9772-1024-1
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with Vernon Neppe. (YouTube). New Thinking Allowed,
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