**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**X**

_{1}+ X_{2}^{ }= X_{3}**(X**

_{1})^{2}+ (X_{2})^{2 }= (X_{3})^{2}**(X**

_{1})^{3}+ (X_{2})^{3 }+ (X_{3})^{3 }= (X_{4})^{3}

**e.t.c. all of the form:**

**Σ**

^{n}

**i=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,**3**

^{2}+ 4^{2 }= 5^{2}or 5^{2}+ 12^{2}= 13^{2}
Combinations like

**2**, or^{2}+ 3^{2}**5**will not add up to squares.^{2}+ 6^{2}**Fermat’s Last Theorem**tells us that the equation**(X**_{1})^{3}+ (X_{2})^{3 }= (X_{3})^{3 }has no whole number solutions, but**(X**does. For example:

_{1})^{3}+ (X_{2})^{3 }+ (X_{3})^{3 }= (X_{4})^{3}**(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.

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

**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

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.

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