THE MATHEMATICAL BEAUTY OF THE QUANTUM WORLD

THE MATHEMATICAL BEAUTY OF THE QUANTUM WORLD

The universe, from quarks to quasars, is made up of combinations of whole quanta, and the way to describe the combination of quanta turns out to be with what mathematicians call Diophantine equations (after Diophantus of Alexandria who lived in the 2^nd century AD). Consider the equations

X₁ + X₂ = X₃

(X₁)² + (X₂)² = (X₃)²

(X₁)³ + (X₂)³ + (X₃)³ = (X₄)³

e.t.c. all of the form:

Σⁿi=1 (X_n )^m = (X_n+1)^m

The last expression may look weird to you, if you are not familiar with mathematical notation. It reads (in English): The summation from i = 1 to n, of X sub-n raised to the mth power, equals X sub-(n+1) raised to the mth power. It represents an infinite number of equations, progressively more complex, continuing the pattern of the first three. It represents what I call the “Conveyance Expression”, because, if restricted to whole numbers, the equations become Diophantine equations, conveying the inherent pattern of space, time and consciousness into the quantum world.

The first equation is a description of the simple addition of any two whole numbers (integers) to obtain a third whole number. The second equation represents the combination of two square areas to form a third square area, and the third represents the combination of three volumes to form a fourth volume. Quanta are three-dimensional, so the third equation, with the right numbers describes the combination of quarks to form a proton or neutron.

Now, here’s the interesting part:

The first equation is true for any set of whole numbers, for example, 1 + 2 = 3, 2 + 3 = 5, 4 + 5 = 9, etc. but the second is only true for certain specific whole numbers. For example,

3² + 4² = 5² or 5² + 12² = 13²

Combinations like 2² + 3², or 5² + 6² will not add up to squares. Fermat’s Last Theorem tells us that the equation (X₁)³ + (X₂)³ = (X₃)³ has no whole number solutions, but 

(X₁)³ + (X₂)³ + (X₃)³ = (X₄)³ does. For example:

(3)³ + (4)³ + (5)³ = (6)³

Check it out:

27 + 64 + 125 = 216

This means that two regular volumes cannot combine to form a third one, but three can combine to form a fourth regular volume. This is why three quarks, not two, or four, combine to form protons and neutrons. This works for quarks regardless of their shape. The details are spelled out in posts on this blog, and in a paper. entitled:

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

to be published soon.

It’s a little more complicated when you apply this to electrons, protons, neutrons, atoms and molecules, cells, mountains, rivers, solar systems, galaxies, and the whole universe, but the principle is the same. The whole universe is a mathematically consistent quantum structure, and TRUE unit analysis, based on relativistic principles can be used to describe it. This is how Transcendental Physics reconciles Relativity and Quantum Physics. The details are also posted on this blog.