Cosmological Mathesis of John Wsol

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Introduction

The Issues with Flat Spacetime

For over a century, the prevailing paradigm in physics has been based on the assumption of flat spacetime, a four-dimensional continuum in which the laws of physics are all interpreted through the belief that our metrics are fixed across the entire age of the universe. This paradigm, which emerged from the success of Einstein's special and general relativity, has led to remarkable advances in our understanding of the universe, from the subatomic realm to the large-scale structure of the cosmos.

However, as our knowledge has expanded, so too have the inconsistencies and paradoxes that arise from the assumption of flat spacetime. The puzzle of dark energy, the mystery of dark matter, and the incompatibility between quantum mechanics and general relativity all call into question this historical paradigm. It is becoming increasingly clear that a new framework is needed, one that can account for these phenomena and provide a more unified understanding of the universe.

Quantum vs. Emergent Metrics

At the heart of the issues with flat spacetime lies the failure to distinguish between absolute quantum metric and emergent metrics -- (i.e. SI units). In the standard paradigm our meter and second are treated as a fixed, immutable metric with which we measure physical processes. However, this view overlooks the fundamental nature of space-time as an emergent property, arising from this newly discovered "clockwork" nature of quantum phenomena. No longer will quantum mechanics be purely a probabilistic phenomena.

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God does not play dice with the universe. -- Albert Einstein

In the framework of Cosmological Relativity, we propose that the metrics of space-time are not fundamental, but rather emerge from the collective behavior of quantum entities. This shift in perspective has profound implications for our understanding of the universe, as it suggests that the properties of space-time, such as its geometry and the values of many (not all) fundamental constants, are not fixed and immutable, but rather are a function of the age of the universe.

Quantum Wave Numbers and Fundamental Constants

At the core of these discoveries is the idea that, to truly model a system, one must find a one-to-one correspondence between the object(s) and the mathematical constructs that attempt to model it. In quantum mechanics this has been the quest to gather over a hundred physics equations which relate fundamental properties of the spacetime medium. Then, after years of arranging these equations into equation-sets & studying them, eventually the dimensional units and the magnitude of the values revealed the invisible geometries of the wavefunctions an even an understanding of the properties of this fascinating medium. As it turns out, this medium is a highly charged energetic-plasma -- an elastic superfluid.

  Planck's reduced constant stands out in that it encapsulates "Quantum Unity".   Think of it as a 1-radian pie-slice with a radius and an arc-length of 1-Planck length with a "thinness" of 1-quantum of mass~time.  It rotates at 1-radian each Planck-time.  It is the cosmos's unit of angular momentum -- this momentum is the inertia of quantum time-itself. 
 
  The universe is counting off one hBar for each time-quantum.  So for any integer number you choose there was a moment when the universe was exactly that number of time quanta old.    Whenever the universe establishes the 1st occurrence of a prime number, in a sense, that primes says "Now I am." then all subsequent integer multiples re-enforce the quantum wave number of the original occurrence.

The Ups & Downs of being a Primary Quantum Wave

These wave numbers are intimately connected to fundamental constants like the Impedance of Free Space, the speed of light and the Fine-Structure Constant, and provide a new lens through which to view the nature of physical reality.

Consider when 2 (blue sine wave) and 3 (green sine wave) arrive at 6 -- 2 says "Here I am, spinning down." (Note 2, being even, goes into and out of phase with odd numbers.) However, in that moment 3 says "Here I am, spinning up." it is not until 2 & 3 arrive at 12 do they both say "Here we are - spinning up." Since 3 (green) & 5 (red) are both odd they arrive at 15 -- the both say "Here we are, both spinning down." Now remember we started with all these wave numbers spinning up, so 3 & 5 won't complete their dual-cycle until they arrive at the Zero-point #30 Please note that 30 is sandwiched between the twin-primes 29 & 31. Again, when a prime number happens the 1st time it is the only wave number saying "Here I am" -- the first of a kind. Finally consider the 3-way interaction of 2, 3 & 5 when they all reach 60 they all agree "Here, we are spinning up." 30 & 60 are special each are sandwiched between the twin primes, 60 being between 59 and 61. (In the next paper this "prime awareness" will come into play when we wrap our minds around why the Fine-Structure Constant is a function of the Prime Constant.)

File:QWN 2 3 5 to 60.png

Central to the framework of Cosmological Relativity is the concept of quantum wave numbers, which represent a kind of "inverse idea" of frequencies at which quantum entities oscillate. That is to say, the smaller quantum wave numbers occur more frequently than larger ones. Q-wave #13 experiences its own Zero-Point every 13th time quantum. So on the 26th time quantum it completes its first full-cycle. Then 3 time quanta later Q-wave #29 experiences its 1st Zero-point. Note that 13 experiences 29 Zero-points by the time it reaches 377 -- whereas, 29 experiences 13 Zero-points upon arriving at 377 -- both share a brief instant of tranquility as they anchor themselves in the Higgs field.

File:QWN 2 3 5 to 377.png

Time = 0 is the one time-quantum that all others share as their origin -- this defines an absolute reference point in time. It is the center of the Cosmic Singularity. (This origin point of the Big Bang is a point in time -- not in space! All of space wraps around this point in time.)]]

The Revised Table of Physical Quantities

In Table 1, we present a revised table of physical quantities, which incorporates the insights of Cosmological Relativity and proposes new values for several fundamental constants. Most notably, we propose a slight adjustment to the speed of light, from its current value of 299,792,458 m/s to 299,792,459 m/s, based on the alignment of this value with the quantum harmonic diagram (see Figure 1).

Throughout the rest of this document when a value is highlighted: The yellow highlighted numbers are CODATA 2018 values. Green values are defined by CODATA 2019 as exact and are the basis to calibrate [meters], [seconds], [kilograms] and [Coulombs]. α is ascribed an uncertainty = 0.5e_16 to account for double precision floating point limit..

Throughout this document:
 - Yellow highlighted quantities are CODATA 2018 published values.
 -  Green highlighted quantities are a calibration standard, by definition.
 -   Cyan highlighted quantities are my proposed values for the CODATA 2024 dataset.
  

All table details are editable... not checked for GPT translation errors -XE

Quantity	Value	Relative Uncertainty	-L-T+M+C+K	dt	SI Units
c_2018 (speed of light)	299,792,458	3.3e-9	1 _1 0 0 0 0	0	m/s
c (speed of light)	299,792,459.000 m/s	exact	1 _1 0 0 0 0	0	m/s
Cs133_2018	9,192,631,770.000 Hz	1e-14	0 0 0 0 0	0	Hz
Cs133	9,192,631,777.000 Hz	exact	0 0 0 0 0	0	Hz
h (Planck constant)	6.62607015e-34	1e-16	_1 1 0 0 0	0	J s
hBar	1.05457181764616e_34	1e-16	_1 1 0 0 0	0	J s
α_2018	7.2973525693e-3	1.5e-10	0 0 0 0 0	0	dimensionless
alpha	0.00729735256927773	0.5e-16	0 0 0 0 0	0	dimensionless
1/alpha	137.035999084114	0.5e-16	0 0 0 0 0	0	dimensionless
V_P	1.22089083e28 V	3.1e-16	_2 1 _1 0	0	Volts
e	1.60217663e-19 C	1.5e-16	0 0 0 1 0	1	Coulombs
q_P	1.87554604e-18 C	1.5e-16	0 0 0 1 0	1	Coulombs
m_P2018	2.17643400e-8 kg	1.1e-5	0 0 1 0 0	1	kilograms
m_P	2.17643558e-8 kg	2.4e-16	0 0 1 0 0	1	kilograms
l_P2018	1.61625300e-35 m	1.1e-5	0 0 0 0 0	-1	meters
l_P	1.61625409e-35 m	1.9e-12	0 0 0 0 0	-1	meters
t_P2018	5.39124700e-44 s	1.1e-5	0 1 0 0 0	-1	seconds
t_P	5.39124335e-44 s	3.7e-16	0 1 0 0 0	-1	seconds
G_2018	6.67430000e-11	2.2e-5	_2 _1 0 0	-2	m^3/kg s^2
G	6.67429232e-11	5.8e-16	_2 _1 0 0	-2	m^3/kg s^2
Zo_2018	376.730313668 Ohm	1.5e-10	_1 1 _2 0	-2	Ohms
Zo	376.730313667 Ohm	3.0e-16	_1 1 _2 0	-2	Ohms
Z_P	29.99792458 Z_P	3.0e-16	_1 1 _2 0	-2	Z_P (unit)
K_m	2.00000000e-7 N/A^2	4e-16	0 1 _2 0	-2	Newtons per Ampere squared
mu_0	1.25663706e-6 N/A^2	2.7e-16	0 1 _2 0	-2	Newtons per Ampere squared
K_e	8.98755179e9 m/F	3.4e-16	_2 1 _2 0	2	Meters per Farad
eps_0	8.85418781e-12 F/m	2.9e-16	2 _1 2 0	2	Farads per Meter

Table 1.

Calibration Note future measurements: gauged against these numbers will tell us which day (between 2015 & 2020) these exact values matched reality -- higher power ratios will vary the most. Note dt column: 0 means that value is constant throughout time. dt=1 values grow linearly, whereas _1 (negative 1st power) values shrink as the reciprocal of our linear time perceptions. Likewise, ±2nd power growth and its inverse change more rapidly. Future Measurements should include: (1) date-time stamp, (2) longitude, latitude & (3) elevation. These factors in: (1) Cosmological Relativity, (2&3) Special & General Relativity

The Significance of this Calibration Note

In particular, the calibration note above highlights the significance of these adjustments, as it suggests that future measurements of the Fine-Structure constant and the masses of atoms could serve as a test of Cosmological Relativity's predictions about the evolution of emergent metrics over cosmic time. This provides a powerful means of validating the framework and exploring its implications for our understanding of the universe.

The proposed adjustments to the values of fundamental constants, such as the speed of light and the Cs133 hyperfine spectral line frequency (from 9,192,631,770 Hz to 9,192,631,777 Hz), are not arbitrary. Rather, they are based on a careful analysis of quantum harmonic ratios between these constants and the quantum wave numbers woven into the fabric of space-time.

In other words, whenever we ascribe an integer number to one of our SI unit metrics there is the opportunity to calibrate that quantity with a moment in time "when the universe was that many quanta old." That means today's value of that metric is an integer multiple of the quantum-scale integer. It is an ingenious way to make our macro-scale SI units phase-locked with the quantum plenum.

Redefining the Speed of Light and Atomic Clock Standards

The Quadra-Polar Photon and the Quantum Harmonic Diagram

A striking prediction of Cosmological Relativity is the realization of the quadra-polar photon. Rather than to "think" of a photon as a particle -- we come to realize it is an ever expanding electromagnetic packet (in the form of angular momentum) which spreads forth as the surface area of the universe increases in the local reference frame. (Lower right corner of Figure 3.1). Each diagram's central number represents the number of radians between each integer spiraling out from the center. Notice that 377 and c share 29 as a common factor, revealing a quantum connection between the recalibrated speed of light and the Impedance of Space.

File:Explore c Zo.png

Here we are NOT changing the speed of light, rather we are merely recalibrating our [meter] & [second] so the quantum wave numbers for c & Cs133 couple to the quantum wheel work of nature.

These Quantum Harmonic Diagrams challenge our conventional understanding of light as a simple, bipolar wave. Instead, it suggests that the photon has a multi-dimensional structure with specific quantum-coupling woven into the fabric of space-time itself.

Proposed Re-calibration of the Speed of Light and Cs133 Frequency

The proposed adjustments to the speed of light and the Cs133 hyperfine spectral line frequency are not mere numerical tweaks, but rather represent a fundamental shift in our understanding of the nature of space-time and its relationship to quantum fields. By recalibrating these constants with the wheelwork of nature, Cosmological Relativity provides a new framework for unifying the laws of physics across all scales, from the subatomic to the cosmic.

Moreover, the specific values of these adjustments, such as the factorization of the revised speed of light into 29*71*145601 and the Cs133 frequency into 7*71*2341*7901, reveal deep connections between these constants and fields. For example, the appearance of the prime factors 29 in the speed of light and the Impedance of Space connects both to the role that the 377 Ohms plays in regulating for flow rate of time itself. Again, by choosing to calib5rate Cs133 frequency so that it couples with 71 will make our atomic clocks phase-lock with this most stable quantum-wave number 71, which the Speed of Light also shares.

Reverse Engineering the Proton/Electron Mass Ratio

One of the most precise measurements known to modern physics is the proton to electron mass ratio. We took that number and searched to see if it could be represented as a rational fraction. Then we looked at nearby integers only to be astonished to find their prime factors proclaimed Eureka!

File:QuantizedMass electron+proton.png

Just 1 more than our initial integer guess we see our prime candidate for a proton jump out as 2*3 being *(137^2)*401… The value for the electron was already right on! The electron being negative couples with both 13 & 29. The best candidate for the neutron is the 3*71*1447*…. It shares a factor of 3 with the proton but not the 2. This seems to indicate the 2 keeps the proton positive, whereas, the neutron alternates positive-negative every 12-time quanta. (These assertions are explored deeper in the next paper.)

The Essence of Quantum Mechanics distilled into 9 integers?

Could it be that this table, with only 9 entries, defines the quantum mechanical Space~Time framework for physical reality?
┌──────────────────────────┬──────────────┬─────────────────────────────────┐
│                       377│Z₀377         │13*29                            │ Impedance of Space
│               299,792,459│c             │29*71*145601                     │ Calibrated Speed of Light 
│             9,192,631,777│Cs133         │7*71*2341*7901                   │ Cs133 hyper-fine Hz
│             3,077,709,245│qi_e          │5*13*29*113*14449                │ quantum integer of electron
│         5,651,144,058,174│qi_p          │2*3*(137^2)*401*125141           │ quantum integer of proton
│         5,658,933,647,013│qi_n          │3*71*1447*18360583               │ quantum integer of neutron
│4.270933837648590741225e25│(d²tP/s²)     │((2^2)*3*(5^3)*29*71*283*7477)^2 │ (Planck times/second)/second
│         6,535,238,203,500│√(d²tP/s²)    │ (2^2)*3*(5^3)*29*71*283*7477    │ sqrt(that)
│    97,378,239,676,363,503│qi_hBar^-½    │3*11*(13^2)*29*71*8480177221     │ hBar = 1/(this^2)
└──────────────────────────┴──────────────┴─────────────────────────────────┘
  13 is shared by	Z₀377, qi_e & qi_hBar^-½
  29 is shared by	Z₀377, c, electron, (d²tP/s²) & qi_hBar^-½
  71 is shared by	c, neutron, (d²tP/s²) & qi_hBar^-½
 137 is shared by	the proton and the Fine-Structure Constant

Traditionally the values for the Speed of Light and Cs133 are set to integers, however the derivation of a quantum integer for hBar took a quantum leap in reasoning. hBar is an extremely small quantity, 1.05457181764616x10^-34 [Joule seconds]. representing this as its reciprocal yields a 34-digit number -- very unlikely a pattern could be discovered -- the search space is estimated as a range of plus/minus 5.423x10^12. Instead, what if we took the square-root of the 34-digit number and then search nearby integers for one which has prime factors which couple with most of the primes discovered so far. This is the magnitude of the 97.378 quadrillion number. Yet against any chance probability this 97 quadrillion number is just 49 integers away from the sqrt(1/CODATA 2018 value of hBar) an astonishing variance of 5.0x10^-16.

If there ever was a Eureka discovery in the field of Quantum Mechanics this qualifies as an Eureka²!

Just by identifying a handful of quantum-coupling wave numbers the grand mystique of Quantum Mechanic's profound probabilistic complexity simply vanishes. These quantum-wave numbers make visible the invisible realm of quantum mechanics.