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JIDSLOPE

Abstract: Nature's mathematical constants form a straight line
whose slope is the same as a major Physical constant.
This 1.097 slope is the Rydberg constant that measures quanta of energy.

The Five points are: (-1,-5/4), (pi/2,pi/2), (P^2,e), (3,pi) and (4,P^3) ; QED

INTRODUCTION


Atomic spectra studies were the keys to understanding energy quanta and electron orbital interactions.

All of modern physics, including Quantum Mechanics and Astronomy came from these fundamental measurements.

The Rydberg constant was the Key to linking these discoveries to QM in general and electron orbits in particular.

This 1.0973~ constant value represents the Prime "Volume and Energy" relationship of basic Physics.
The Rydberg constant is the observed slope of space/volume.

Rydberg Constant


The FIVE Cardinal Points



Consider these five 'Y' values in ascending order: -5/4, pi/2, e, pi, P^3 .

Think of pi/2 as the reference X=Y or null/zero point

These points are all fundamental ones! [ remember P^3 = 2 + sqrt5 ; P^2 = P + 1 ; P = (sqrt5 + 1 ) /2 ].

Take -5/4 or is it (5i^2/4) or was it (-5i^4 / 4i^4)

e & pi   The most basic of all Constants! All agree! Yes!

P^3   a 3D volume cross section; a literal 4.23607~ [ P^3 = 4 + P^-3 ] .

Now add the 'X' coordinate values to generate the five Cardinal points.

  (i^2,-5/4), (pi/2,pi/2), (P^2,e), (3,pi), (4,P^3)

Curve fitting these five points results in the following linear equation:

Y = 1.09733 * X - 0.15276 ; a straight line with a correlation of 0.99999974

Additional points near this curve


As compelling as the above five points are, the curve is near four others of significance.

The two most interesting are (-9,-10), and (12,13)
representing a separation between X and Y of UNIT significance.

There are two near integer points at (5,16/3) and (8,69/8).

CONCLUSIONS

Having pure mathematical constants generate a linear curve with a slope that matches exactly with a physical constant of Nature;
one that can be measured or derived in different ways, seems very significant !


The function "Y = 1.09733 * X - 0.15276" relates Nature's most basic constants [e & pi]
to the energy/volume nature of Spacetime.

Speculations


Could this be the origin of the logarithmic spiral;
the three dimensional logarithmic spiral,
the physical slope of local spacetime seen as the Rydberg constant.
I wonder if in a relative sense, if every frame could have a common via their pi/2?

The point where X=Y or (pi/2,pi/2) seems ready made for this commonality.

Can Relativity be as simple as, all the frames of our 3D momenta universe,
sharing their relative interiors by having a common 2D local frame
based on the absolute 1D Jidslope sequence "pi/2, 'e', pi, P^3"!

This common a priori frame is present in every physical dynamic situation,
making their collision mechanics amendable to mathematical actions or analyses.

Factoring in a third Dimension, allows Jidslope's non-exactness in 1D,
to be seen as exact when using a 3D log spiral perspective.

APPENDICES

Appendix 1 : Point Table

Points
Y' -10 16/3 69/8 13 near
Y -5/4  pi/2  e  pi  P^3 exact
X  -9  -1  pi/2  P^2  3  4  5  8  12

Appendix 2: Volume and Scale

Let a cubic centimeter [or cc = cm^3] be the standard volume unit.
On our human scale, this small sugar cube sized item seems small and ordinary.

What does Mercury's orbital volume of 8e23 cubic KM
and the nuclear volume have in common?

Both are equally distant from a standard cubic centimeter.
Imagine a cc as the mid zone between Nuclear and Planetary Orbit scales.
This means the volume of Mercury's orbit is as distant as the volume of a nucleus
when using a 'cc' reference volume.

Compare it at whatever precision imaginable.

Pause for a moment to consider how a planetary orbital volume makes any human scale volume
seem insignificant; whether its a cc or a cubic mile.

Can any basis of linearity be possible or even imaginable over these vast scale ranges?
Surely VOLUME at the Nuclear scale would be a thing onto itself.
Normal spatial concepts of our macro scale would seem not apply over such a scale distance.

Users of Nano technology are familiar with non-linear scale effects
that redefine our common macro sense of volume.
for example static electricity dominates for most surfaces and materials.

LINKS

author: RD O'Meara Oak Park, IL. 60302

This WEB page address: "http://mister-computer.net/5space/jidslope.htm"

Email of Author: 'RDo.meara@mister-computer.net'

Short proof of Fermat's FLT: A proof based on power sequences infinite transcendental Logs.

Primes3D: A Construction Proof of Prime Numbers having a cubic Nature.

Monopole Aether Theory: A Classical model of the Aether based on paired monopoles.

5SPACE : "Stable Particle Masses mapped by (N/2)^5, N=1 to 22"

Rydberg Constant

Official Mass values.

Rydberg Molecule Discovery>

My Real interests are in computer science.
I have spent my career as a cybernetic engineer/designer
who is concerned about the future of our digital data.

Our entire cyber infrastructure lacks "Data Sanity";
especially in the areas of forgery and security, for data and their time stamps.

In that vein, I am seeking venture capital for my NEW multi-Computer
Distributed Kernel SECURITY Architecture or 'DSA' ; based on
Posopip: a 3CPU template that inherently guarantees Trust & Fidelity.

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