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The mathematics

The Mathematics: What is the Calculus of Distinctions?

The Calculus of Distinctions involves well-defined logical and mathematical operations involving the drawing of distinctions. The CoD formalizes the most basic concepts underlying all logic and mathematics. It deals with distinctions of content, extent and impact. It was first developed by Dr. Close in 1986, published in 1990, expanded to include dimensional notation by Dr. Close and Brandin in 2002, and has been further amplified by Dr. Close and Neppe since 2009. CoD defines and clarifies the most basic logical calculations involving distinctions. “Calculus” involves a system of operations, governed by a set of logical rules. The Calculus of Distinctions allows fundamental processes of calculation at a level of logic prior to applying any other mathematical rules: The CoD applies symbolic representation of a distinction or distinctions and extends into geometry and into multiple dimensions (“Dimensionometry”), Algebra, Arithmetic and even to the calculus of Newton and Leibniz. It can be applied to any size of system, from the quantal to the astronomical, and recognizes the fundamental role of “consciousness”, namely the drawing of distinctions. For the purpose of calculation, CoD expressions are changed by one or more logical operations, consisting of one or more steps, to another form. It differs from Set Theory because it involves multiple dimensions, consciousness, is triadic (not binary), incorporates imaginary, complex and negative numbers, and involves distinctions not similarities. CoD fundamentally mathematically conceptualizes reality: The CoD distinguishes self from not-self by a conscious distinguisher; interprets reality by the perceptual, conceptual and experiential; and existentially differentiates extent, content and impact variables, and effectively represents dimensions, substance and influence, as well as allowing for interrelationships between them by “density”. “Consciousness” plays an enormous role in all aspects of scientific analysis through the application of the CoD. Ultimately, this translates into a new method for quantifying and representing multidimensional variables mathematically either intervally or ordinally. The CoD is particularly relevant to the Neppe-Close Triadic Dimensional Distinction Vortical Paradigm (TDVP) model (or technically TDdVP). TDVP is a proposed so-called “theory of everything”. TDdVP describes the “Triad” of Space, Time, and Consciousness all being inseparably tied (“tethered”) together; TDVP involves carefully defined “dimensions” and requires spinning movements (Vortices). TDVP reflects a major paradigm shift that appears feasible in the broader sciences - the Physical, Psychological, Consciousness and Biological Sciences - and also results in a philosophical model called Unified Monism. Importantly, it applies the Calculus of Distinctions as a new mathematical technique, as part of its mathematical feasibility.

[1] Close, E.R and Neppe, V.M. The Calculus of Distinctions: A Workable mathematicologic model across dimensions and consciousness. Dynamic International Journal of Exceptional Creative Achievement 1210:1210; 2387 -2397, 2012

[2] Edward R. Close PhD * and Vernon M. Neppe MD, PhD, Fellow Royal Society (SAf) **, Pacific Neuropsychiatric Institute, Seattle; and Exceptional Creative Achievement Organization (Distinguished Fellow *, Distinguished Professor **)

What is the Conveyance Equation and TRUE units. This is a new concept introduced by Drs Close and Neppe. It is very complex and this is a very brief perspective that requires the full publications to fully understand it.

The equations produced by Σni=1 (Xn)m = Zm when n and m, and the Xi and Z are integers are mathematical expressions of the form of the logical structure of the C-substrate as it is conveyed to the 3S domain. For this reason, we will call this expression the Conveyance Expression. This expression generalizes the summation of n finite m-dimensional distinctions. The equations it generates when all variables are integers, including the equations of the Pythagorean Theorem and Fermat’s Last Theorem, prove to be indispensably useful in the mathematical analysis of the combination of elementary particles.

The simplest symmetric form in three-dimensional space is the sphere, and we can assume that the TRUE unit of substance is spherical. If the particles are also spherical, their volumes are 4/3 π r13, 4/3 π r23, and 4/3 π r33, where r1, r2 and r3 are the radii of the particles. But, since the volumes of the particles are integral multiples of the TRUE unit, r1, r2 and r3 must be integer multiples of the radius of the TRUE unit; so let r1= X1RT, r2 = X2RT, and r3 = X3RT where X1, X2 and X3 are integers and RT is the radius of the TRUE unit. The Conveyance Equation representation of the combination of the three particles becomes:

4/3 π (X1RT) 3 + 4/3 π (X2 RT) 3 + 4/3 π (X3RT) 3

The new particle, consisting of the three particles combined, is represented by the expression 4/3 π (ZRT) 3, where, Z is necessarily an integer, since no particle can contain fractional TRUE units, and we have:

4/3 π (X1RT) 3 + 4/3 π (X2 RT) 3 + 4/3 π (X3RT) 3 = 4/3 π (ZRT) 3

Dividing both sides of the equation by all of the common constant factors: 4/3, π and (RT)3, we have:

(X1)3 + (X2)3 + (X3)3= Z3, where the Xi and Z are integers representing the number of linear cross-sections of the TRUE volumes of each particle represented by the terms of the equation.

Since spinning elementary particles are symmetric, and multiples of TRUE units, which are also symmetric, the fact that this equation has integer solutions, while the equation (X1)3 + (X2)3 = Z3 does not. This tells us that for the elementary particles to combine to form the most stable, symmetric compound distinctions, three particles, not two, must combine.

In nine dimensions, at a very basic level. e.g. sub quark or dark matter or other unknown, whether measured as mass, energy or consciousness, the numerical values of the spinning entities in normalized equivalence units are integers and dimensionometrically equivalent. We will, therefore, call them Triadic Rotational Units of Equivalence (TRUE). The increasing spin of the four elementary distinctions creates additional attractive and repulsive forces, and under the intelligent influence of the informed dimensionometric structure expressed by the Conveyance Equation, they exchange TRUE units so that combine to form new symmetric and therefore very stable sub-atomic components. All quantum processes involving TRUE units conform to the law of conservation of mass, energy and consciousness operating in 3S-1t macro-level observations.

Elementary entities in multiples of the TRUE units are determined by application of the Conveyance Equation and the assumption that a mathematical relationship, analogous to E = mc2exists between energy and consciousness.

At the quantum level, to be stable quantum particles, existing as finite three-dimensional distinctions, each of these volumes must be equivalent to either the volume of a single TRUE unit, or multiples of the volume of the TRUE unit. This means that X1, Y2 and Z must be integers.

Fermat’s Last Theorem tells us there are no integer solutions for this equation, which means that no two particles consisting of TRUE units, or integral multiples of TRUE units, can combine to form a new symmetrical entity. Such asymmetrical combinations of rapidly spinning entities will tumble or spiral, especially under the influence any external force, and will thus be far less stable than symmetric forms.

However, when n = m =3, the expression yields the equation

(X1)3 + (X2)3 + (X3)3= Z3,

which does have integer solutions. The first one (with the smallest integers) is

33 + 43 + 53 = 63

It is important to recognize that the equations produced by Σni=1 (Xn)m = Zm when n and m, and the Xi and Z are integers are mathematical expressions of the form of the logical structure of the C-substrate as it is conveyed to the 3S domain. For this reason, we will call this expression the Conveyance Expression. This expression, generalizing the summation of n finite m-dimensional distinctions, and the equations it generates when all variables are integers, including the equations of the Pythagorean Theorem and Fermat’s Last Theorem, prove to be indispensably useful in the mathematical analysis of the combination of elementary particles.

 
 
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