PUTTING CONSCIOUSNESS INTO THE EQUATIONS OF SCIENCE:
THE THIRD FORM OF REALITY (GIMMEL) AND THE “TRUE”
UNITS (TRIADIC ROTATIONAL UNITS OF EQUIVALENCE) OF QUANTUM MEASUREMENT
PUTTING CONSCIOUSNESS INTO THE EQUATIONS Of
science: ABSTRACT
We apply the empirical findings of chemistry and physics
and mathematical equations, including new derivations to extend
quantumtomolecular level analyses in a 9dimensional spin model. Whereas the
current physics involving 3 dimensions of space in a moment in time (3S1t) can
explain a great deal, there are some contradictions and unsolved problems that
can only be resolved by applying a 9dimensional spin model.
In this paper, we demonstrate the empirical necessity for
a third massless, energyless substance or process besides mass and energy.
This third substance has not been previously defined and contains what we have
called “gimmel”: We demonstrate that no subatomic particle can exist without gimmel,
yet gimmel is not measurable using the usual physical techniques of solely
applying mass and energy. Mathematically and geometrically, atoms composed of
quanta, and compounds composed of atoms, cannot be stable without gimmel.
We examine gimmel at the level of atoms and the elements,
but we postulate that this distinction of third content exists at every level
from the subatomic, such as in elementary particles like electrons and quarks,
through to the cosmological such as dark matter and dark energy. This third
substance, gimmel, is key to maintaining stability and symmetry of subatomic
particles, of atoms of the elements, of molecules and compound chemicals.
Without gimmel, these substances could not maintain stability in our physical
existence and would be ephemeral and transitory.
INTRODUCTORY SUMMARY Perspective on TRUE and Gimmel (PART 1)
We introduce the concepts
of Triadic Rotational Units of Equivalence (TRUE or TRUE Units) and of a the
requirement for a third substance or process, ‘gimmel’. This work appears to be
of great importance because of its groundbreaking implications. ^{1}
Importantly, the demonstration of gimmel is an extension of the ‘Triadic
DimensionalDistinction Vortical Paradigm’ (TDVP) ^{26}model,
as well as part of the nine dimensional triadic concept. ^{7} However, the results
appear to be startling and, with respect, like TDVP itself, reflect their own
paradigm shift. ^{8}Moreover,
this work is an exploration of the fundamental Nature of Reality allowing our
searches for scientific and spiritual knowledge to be merged into one serious,
combined effort. This work is an illustration of the missing link.
Quantization and TRUE
In TDVP, we apply quantized phenomena
existing in a multidimensional domain. ^{9} This consists of
space and time, embedded in one or more additional dimensional domains. But, in
conventional mathematics, there is a fiction: the fiction of dimensionless
objects. ^{1} This has been
simply a convenient mathematical expedient prior for discovering that physical
phenomena are quantized. But this is no longer appropriate. If the substance of
reality is quantized, the quantum necessarily occupies a finite 3dimensional
volume, not a point. This quantum volume defines the lower limit in size, and
by setting it equal to 1, we establish a standard of measurement so that all
substances are measureable in integer multiples of this unit. This allows us to
proceed with our new form of mathematical analysis, the ‘calculus of
dimensional distinctions’ (CoDD) ^{10}, and treat all
phenomena as finite, nonzero distinctions. Replacing the dimensionless points
of the calculus of conventional mathematical physics with distinctions of
finite unitary volume, the elementary particles of the physical universe must
be integer multiples of these unitary volumes: We then relate the integers of
quantum reality to the integers of number theory, and explore the deep
relationship between mathematics and reality.
Equivalence unit
derivations
This model requires the definition of
a new, truly basic unit for describing elementary particles. This is because in
a quantized reality, all particles must be integral multiples of the smallest
possible, most basic quantum unit. We call these units “Triadic Rotational
Units of Equivalence” or TRUE units. TRUE units cannot be derived from our
usual 3S1t perspective (3 dimensions of space in one moment [the present] in
time) because theoretical nomenclature like the conventional ‘half spin’ in
fermions does not lead to integral solutions. One cannot have, e.g. half a
quantum unit, or half an atom. Mathematically, measurements of all fundamental
particles and the third substance of reality have to involve integers.
Mathematical features
In order to properly describe a
quantized reality, we must apply the mathematics of Diophantine equations.
Diophantine equations require whole number solutions —integers. In current
theoretical physics, Planck’s quantum of action is the smallest integral
measure and is substantial in terms of both mass/energy and angular momentum.
But that approach results in fractional results not found in nature.
In our model, we incorporate unitary volume in
TRUE units and consequently, all TRUE analysis equivalence calculations result
in cubed integers. We apply three specific Diophantine calculation procedures
to define gimmel, the third form of
the substance of reality. ^{11} ^{1} ^{12} ^{7}
1. The first applies the mechanism of
Close’s dimensional extrapolation ^{13} to define the
rotation and orthogonal projection from one dimensional domain into another, in
the plane of the projection. This means it involves integers squared as in the Pythagorean Theorem ^{14} allowing
extrapolations through 9 dimensions. ^{8}
2. The second involves the addition
of integers cubed, representing the combination of elementary quanta. Based on Fermat’s Last Theorem for m=3, X^{3}
+ Y^{3}≠ Z^{3}, there cannot be any cubic volumetric
combination with two components that are stable. ^{1517} This means
mathematically, that a nucleus comprised of protons and neutrons with orbiting
electrons simply cannot produce stable atoms. The quantum entities must combine
in quantum equivalence units (TRUE) to be integral and symmetric. ^{1}
3. We have shown that, while based on
Fermat’s Last Theorem, there can be no integer solutions for the Diophantine
equations in TRUE units, involving X^{3} + Y^{3}= Z^{3}
describing the combination of two quantum particles, there are integer solutions for the equation describing the combination
of three quantum particles ^{1}. In addition, we
show that enduring stability cannot be achieved without three components,
namely mass, energy and something else—the third substance (which we call)
“gimmel” ^{1}. This fact is
discovered when applying the appropriate equation derived from the generalized
Diophantine equation for combining quantum particles: Σ^{n}_{i=1}
(X_{n})^{m} = Z^{m} called “Close’s Conveyance equation”, (X_{1})^{3} + (X_{2})^{3
}+ (X_{3})^{3}= Z^{3 }for triplets. ^{1} Moreover, these
Diophantine calculations only work mathematically and geometrically when
applied to the 3S1t observable portion of a 9dimensional reality model and
are therefore easily replicable. ^{4}^{; }^{6}^{; }^{8}
The 9dimensional spin requirement is
not surprising because elsewhere the authors have demonstrated mathematically
that our finite reality has to consist specifically of 9 spinning
dimensions—not 8 or 5 or 4 or 10 or 11 or 26. ^{18} [5] Moreover,
these dimensions must be spinning. The ‘strings’ in the various String Theories
generally involve the ‘curling’ or ‘folding’ into extra dimensions. ^{1923}.
We have shown the relevance of this with several pertinent derivations,
including: the derivation of a Cabibbo spinning mixing angle ^{2426},
the derivation of intrinsic electron spin and angular momentum, and of the
shape of the electron which in 3S1t is symmetrical but nonspherical, of the
disappearing electron cloud, and deriving a 9D mathematical thought experiment
plus with weak universality ^{4}^{; }^{9}^{; }^{2629}.
This validation of the 9dimensional finite spin model was specifically
proposed as a key aspect of a metaparadigmatic model developed by the authors
called the NeppeClose Triadic Dimensional Distinction Vortical Paradigm
(TDVP). ^{4}^{; }^{3032}
Analysis of these data in the
framework of the mathematics and geometry of TDVP in 3S1t provides us with a
way to find the true quantum unit of
measurement. The empirically measured and statistically determined inertial
masses of the three most basic elementary entities believed to make up what we
perceive in 3S1t as matter, i.e. electrons, upquarks and downquarks, are
approximately 0.51, 2.0 and 4.8 MeV/c^{2}, respectively. The values for
up and down quarks are derived statistically from millions of terabytes of data
obtained from highenergy particle collisions engineered in specially built
colliders.
Specific Equivalence
units derivations
We demonstrate integers as gimmel
allocations for specific particles. This is based on empirical conveyance
equation solutions for electrons, and the different quarks making up protons
and neutrons. We cannot have a quarter of any particle in nature. Quarks,
protons, neutrons, electrons and atoms all must be integers, not fractions:
Empirical quantization is applied using mathematical integers and formulae.
This requires recognition of multiple dimensions, not artificial concepts such
as “halfspin” when applying 3S1t.
The principles
We propose that massenergy and what
we assume this gimmel to be, namely, some aspect of ‘consciousness’ are unitary
major components for the stability of atoms ^{[6]}, elements, molecules, and,
indeed, all of our stable world and our cosmos. Gimmel is necessarily linked
together to form a whole. In fact, it
is part of that whole: We argue that we cannot have mass without energy because
they are interconvertible, so much so that in our TRUE scoring they are
together scored as a single measure. But we cannot have massenergy without
gimmel. [7]
Using this concept, nothing can exist without this third component: Like a hand
without a shoulder, they are more than linked; they’re entirely tethered
together. Without gimmel, mathematically, the elements of the Periodic Table,
including those that are crucial to life, are unstable. The requirement of a
third form (gimmel) allows for stability. We apply the minimal equivalence
units are defined by applying basic relativity and quantum principles to
multidimensional spinning elementary particles. We call these Triadic
Rotational Units of Equivalence, or TRUE units.
Hypotheses
1. The
elements known to be vital for organic life, like oxygen, carbon, nitrogen,
sulfur, calcium and magnesium, should have higher proportions of gimmel, the
quantumorganizing factor.
2. Gimmel
and TRUE units applied subatomically, should reveal mathematical patterns
reflecting the fundamental nature of reality, with specific predictable
mathematical patterns.
3. Water
should contain higher amounts of gimmel to TRUE than almost any other stable,
symmetrical molecule. It should, for example, contain more gimmel proportions
than hydrogen sulfide.
4. The
noble, inert gases that are very common in the cosmos, namely Helium and Neon,
should exhibit high amounts of gimmel to TRUE.
5. Stability,
symmetry and reactivity of elements and compounds are based not only on gimmel
proportions, and on the equality or not of protons, electrons and neutrons, but
also on their quantum shells, numbers of electrons in the outer shells making
up a model for valence that is predictable.
6. The
patterns of gimmel should be from the quantum level, all the way through to the
cosmological ^{12}. It should include
DNA and RNA ^{1}. This hypothesis
is important, but detailed empirical analyses are extraordinarily complex and
painstaking.
Broad findings
Hypotheses 1 to 5 above were examined, and the postulated
data supported.
Equivalents
The usual measures are massenergy in units of MeV/c^{2
}converted to units of Mass/Volume (Normalized Average) where electrons
become =1, up quarks = 4 and down quarks =9. Protons have 2 up quarks u1, u2
and 1 down quark d1. Neutrons have 1 up quark and 2 down quarks. Ultimately
these gimmel amounts are combined with Mass/energy equivalents to obtain the
total in TRUE units (triadic
rotational equivalence units) and volumetrically, we’ve called the
consequent cube MREV (minimal rotational equivalent volumes).
All the elements of life are found to
contain equal numbers of protons, neutrons and electrons and this works out in
unitary calculations as a symmetrical multiple of 108 cubed in TRUE units. The elements of life were postulated to be
oxygen, carbon, nitrogen, sulfur, calcium and magnesium and these all show
these properties. This was demonstrated. [8]
Table 1A:
Perspective of elementary particles with their equivalence scores
Elementary Particle

Particle

Mass/
Energy

ג
Gimmel

Total TRUE Units

Combined
Particle

e

electron

1

105

106

Electron
=106

u1

proton

4

2

6


u2

proton

4

4

8


d1

proton

9

1

10

Proton=
24

u3

neutron

4

5

9


d2

neutron

9

3

12


d3^{}

neutron

9

6

15

Neutron
=38

We now combine these elementary particles
into their contents , protons and neutrons as well as those same electrons.
This time we also mention charge and also minimal rotational equivalent
volumes.
Table 1B:
Neptrons (electrons, protons, neutrons) converted to gimmel, TRUE unit and
MREV scores [9]
Particle

Charge

Mass/
Energy

ג
Gimmel

Total TRUE Units

MREV

Electrons (e)


3

1

105

106

1,191,016

Protons (P^{+})

+
3

17

7

24

13,824

Neutrons
(N^{0})

0

22

16

38

54,872

Totals

0

40

128

168

(108)^{3}

This (108)^{3 }turns out to be very important because all the
fundamental life providing elements, are multiples of (108)^{3}. We
have also shown that the inert noble gases helium and neon show the same stable
properties as the life supporting elements, however, their valence makes them
nonreactive and thus they are not involved in biological processes supporting
organic life.
Additionally, we found that silicon
has the properties of these elements of life because it too shows is a multiple
of 108 cubed with equal P, N and E. This is discussed as a further testable
hypothesis.
Moreover, certain atomic radicals and
molecules are demonstrated to fill the gaps in missing multiples of (108)^{3} . We also look briefly at how
some of these relate to life.
Stability based on TRUE
units
The simple terms ‘stable or unstable’
are insufficient to portray differences in the molecules, atoms and subatomic
particles that make up our cosmos. We name and describe several decreasing
hierarchies of stability:
The stable ones with the empirically derived examples are:
·
Hydrostable (for Hydrogen),
·
Superstable (for the basic life elements like
oxygen, nitrogen, carbon, calcium, magnesium, sulfur),
·
Hyperstable (for the inert gases Helium and
Neon),
·
Dynamically
Stable or Life Permostable (for chemicals such as sodium, chloride and
phosphorus),
·
Protostable or existent permostable (for chemicals that exist naturally
such as trace elements like copper and zinc, as well as relatively rare
elements like beryllium and medically relevant ones like lithium).
Those that are unstable can be:
·
Naturally unstable (such as certain isotopes)
and/or
·
Artificially unstable (such as those produced in
atomic colliders).
Major
consequences
The following summarizes
the key consequences of examining atomic reality within the fabric of gimmel
and TRUE:
1. Traditionally,
we have applied NewtonianLeibnizian infinitesimal calculus as a convenience in
mathematics. But this approximation of infinitesimals is incorrect in quantized
reality. Given the Planckian quantum units, which are integral, it is integers
that are critical in measuring finite reality as everything is quantized.
2. This
is why we converted massenergy to unitary equivalents. This is why we
apply Diophantine equations, with three terms on the left side because three
symmetric cubes can combine symmetrically and may be very stable if the cube
root of the result on the right is an integer. This specifically involves using
the Conveyance Equation in a 9dimensional Diophantine model. Nine dimensions
are specifically indicated by dimensional extrapolation, pure number theory
and, importantly, a new Calculus, the Calculus of Dimensional Distinctions
(CoDD). The CoDD defines all mathematical operations in terms of distinctions
that are integral, to accommodate the finite components of quantized reality.
3. Atomic
materialism is refuted because protons plus neutrons plus electrons alone, or
quarks plus electrons alone cannot form the stable integral combinations that
we call atoms and molecules. There has to be a third substance. ^{1} Without extra TRUE
units of “gimmel”, volumetrically atoms cannot exist as stable combinations of
integer multiples of TRUE units.
4. Pertinently,
valence incorporates both the number
of open spaces and electrons in the
outer shell of an atom, and the figure applied depends on which is the smaller.
These number of spaces available and electrons in outer shell give indications
of reactivity and will affect the abundance or lack thereof of elements and
their reactivity properties.
5. It
appears that one can apply mathematical Diophantine Conveyance equation
calculations to establish the properties of a chemical and the less the ratio
of gimmel to TRUE, the less the reactivity, symmetry and stability.
6. The
concept of integral equivalents is unique and linked with expanding our
experiential 3S1t to an existing finite 9D spin reality.
7. In
another study, the ratio of Gimmel to TRUE units was the same as the volumetric
measures of dark matter with dark energy to the proportion of the cosmos. ^{12}
8. With
the reanalysis of shells and electrons, and particularly the outer shells, new
concepts of Valence are applied.
9. When
these Valence concepts are added to Gimmel and TRUE calculations, the Periodic
Classification of the Elements can be understood possibly better than before.
Indications needing
confirmation
1. Geometrically,
the shells in atoms reflect volume and
correspond to energy levels.
2. These
concepts are not limited to just elements and apply at every level to compound
entities.
3. Molecules
are not just the sum of atoms. The combined equivalence of atoms in molecules
can be calculated based on gimmel, massenergy equivalences and TRUE. For
example, using just the presence of the atoms and taking into account the
covalent bonding of water and hydrogen sulfide, they could superficially have
the same activity and similar applications. But empirically we know this not to
be so. This is demonstrated by the more appropriate calculation of
Hydrogenhydroxide (HOH) (=water) compared with HH=S (H_{2}S)
(=hydrogen sulfide): H_{2}S calculates out at a lower gimmel /TRUE
ratio and is not a cube root, indicating that it is asymmetric.
4.
We postulate that gimmel is strongly linked with
meaning: A meaningful consciousness that is tethered with the mass/ energy in
the 9dimensional domain. Consciousness is a strong gimmel candidate because
there appears none other.
Speculations
1. The
whole is more than sum of the parts because gimmel contributes to stability,
yet cannot be directly observed or measured.
2. This
new way of analyzing particles suggests that all compound structures, however
complex, and whatever their size, are quantum systems. Historically, John Von
Neumann demonstrated in his seminal 1932 work
“Mathematical Foundations of Quantum Mechanics”
including with his Dirac–von Neumann axioms that there is a rigid
mathematical framework for quantum mechanics and that this can extend to the
macroworld ^{33}.
3. It’s
possible that gimmel reflects what particle physicists have hypothesized as
“gluons” ^{34}, the “glue”
holding atoms together. ^{1}
4. There
is “something rather than nothing”: Missing from the current Standard
Reductionist Physical paradigms is this third substance/ process (gimmel).
Consciousness appears to be the common aspect, and we regard “gimmel” as
predominantly reflecting meaningful consciousness even at that subatomic level.
5.
Einstein’s speed of light, c, might involve
a different constant in each dimensional domain beyond the three of space in
the present moment in . This because, c involves a reciprocal relative to
squared. We are dealing with 9 proved finite spinning dimensions: We do not
know the exact allocation of these dimensions, but have postulated there may be
multidimensional and consciousness.
·
If there were more than one dimension of , the
speed of light would be relative to those dimensions.
·
Moreover, ultimately given there is a third
substance, gimmel, and a new theory of everything needs to include gimmel as
well. This is where consciousness is put into the equations of physics
·
Importantly, space related constants, like the
speed of light, as well as the extent and content of consciousness, might
involve different relative concepts depending on the frameworks of the specific
dimensions (“dimensional domains”) involved.
[1]
Vernon M. Neppe MD, PhD, Fellow Royal Society (SAf) **, DSPE, Pacific
Neuropsychiatric Institute, Seattle; and Exceptional Creative Achievement
Organization (Distinguished Fellow *, Distinguished Professor **) and Edward R.
Close PhD, PE *. For perspective, Prof. Neppe is a Behavioral Neurologist,
Neuropsychiatrist, Neuroscientist, Psychopharmacologist, Forensic specialist,
Psychiatrist, Phenomenologist, Neuroscientist, Epileptologist, Consciousness
Researcher, Philosopher, Creativity expert, and Dimensional Biopsychophysicist.
His CV includes 10+ books, 2 plays, 650+ publications, 1000+ invited lectures
and media interactions worldwide (http://www.vernonneppe.org/about.php),
Dr. Close is physicist,
mathematician, cosmologist, environmental engineer and Dimensional
Biopsychophysicist. Transcendental
Physics is one of Dr. Close's 8+ books. (www.erclosetphysics.com).
[2] The material in this article has
been peerreviewed.
[3] © Exceptional Creative Achievement
Organization. Our grateful thanks to Brainvoyage.com for permission to
reproduce.
[4] We gratefully acknowledge the
editorial assistance of Jacqueline Slade.
[5]
The spin is through 8 dimensions because the first dimension involves zero
spin. There are 9 demonstrable finite dimensions.
[6]
We’re limited in English terminology: We could refer to the life sustaining
elements as “stable” but that is relative
only to the ephemeral unstable
elements or isotopes of Hadron Collider particles. Clearly, these elements can
be demonstrated by applying 3S1t (our usual experience of 3 spatial dimensions
at the present moment in time) measures, but we postulate it’s only because of
gimmel, as well. Perhaps we should call all including TRUE units “superstable”
also called “superstable”.
[7]
Effectively, we do not have mass and energy as the only contents, just as we do not have space and time as extents of dimensions
alone. We always have the third component:
Space, Time and ‘extent of Consciousness’ (C_{e}); and mass energy and
gimmel—which
we
postulate (and mathematically have provisionally calculated) may have links
with the infinite and contain entirely ‘consciousness content’ (C_{c})
expressed as specific meaning.
[8]
The Tables are numbered consecutively by Part. This is Part 1 so Table 1A, 1B
etc.
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