of 1 20
Exoarchaeology: The Genesis Project
Ian Beardsley
February 02, 2026
of 2 20
Solar System Constants And Data Used In This Paper
(Solar Radius)
(Earth Radius)
(Lunar Radius)
(Lunar Orbital Radius)
(Earth Orbital Radius)
(Earth Mass)
(Lunar Mass)
(Solar Mass)
R
⊙
= 6.96E 8m
R
⊕
= 6.378E 6m
R
m
: 1.7374E6m
r
m
: 3.844E 8m
r
⊕
: 1.496E11m = 1AU
M
⊕
: 5.972E 24kg
M
m
: 7.34767309E 22kg
M
⊙
: 1.989E 30kg
of 3 20
List of Constants, Variables, And Data In This Paper
(Proton Mass)
(Proton Radius)
(Planck Constant)
: (Reduced Planck Constant)
(Light Speed)
(Gravitational Constant)
1/137 (Fine Structure Constant)
(Proton Charge)
(Electron Charge)
(Coulomb Constant)
(The Author’s Solar System Planck-Constant, use this one
for closest to 1-second for Solar System quantum analog. Its basis is
provided in the paper, but Deep Seek uses a variant in the paper as
well.)
(Earth Mass)
(Earth Radius)
(Moon Mass)
(Moon Radius)
(Mass of Sun)
(Sun Radius)
(Earth Orbital Radius)
(Moon Orbital Radius)
Earth day=(24)(60)(60)=86,400 seconds. Using the Moon’s orbital
velocity at aphelion, and Earth’s orbital velocity at perihelion we
have:
(Kinetic Energy Moon)
(Kinetic Energy Earth)
m
p
: 1.67262E − 27kg
r
p
: 0.833E − 15m
h : 6.62607E − 34J ⋅ s
ℏ
1.05457E − 34J ⋅ s
c : 299,792,458m /s
G : 6.67408E − 11N
m
2
kg
2
α :
q
p
: 1.6022E − 19C
q
e
: 1.6022E − 19C
k
e
: 8.988E 9
Nm
2
C
2
ℏ
⊙
: 2.8314E 33J ⋅ s
M
e
: 5.972E 24kg
R
e
: 6.378E 6 m
M
m
: 7.34767309E 22kg
R
m
: 1.7374E6m
M
⊙
: 1.989E 30kg
R
⊙
: 6.96E 8m
r
e
: 1.496E11m = 1AU
r
m
: 3.844E 8m
K E
m
=
1
2
(7.347673E 22k g)(966m /s)
2
= 3.428E 28J
K E
e
=
1
2
(5.972E 24k g)(30,290m /s)
2
= 2.7396E 33J
of 4 20
Notes
Regardless of what experimental values we use for the proton radius, or
whether we use aphelions or perihelions we get values well within acceptable
ranges for the 1 second constant. Concerning orbital velocities, we could use
the mean orbital distances or velocities and the results would differ little
because the orbits of the Earth and the Moon are very nearly circular.
1. We take to be given by:
Using the 2/3 fibonacci approximation for . We have
Using Earth’s orbital velocity at perihelion.
2. For the proton radius in our computations we will use
"A measurement of the atomic hydrogen Lamb shift and the proton charge
radius"
by Bezginov, N., Valdez, T., Horbatsch, M. et al. (York University/Toronto)
Published in Science, Vol. 365, Issue 6457, pp. 1007-1012 (2019).
It has a value of
3. To see this theory opened-up more explicitly, see:
(Evdokimov, Beardsley 2026)
https://doi.org/10.5281/zenodo.18405270
(Beardsley, 2026)
https://doi.org/10.5281/zenodo.18444538
4. The theory provides a clear geometric mechanism for inertia. Consider a
particle's motion through spacetime:
where is the temporal velocity and is the spatial velocity vector. When we
apply a force to accelerate a particle spatially, we are essentially rotating
its spacetime velocity vector, diverting motion from the temporal dimension
to spatial dimensions.
The normal force resists this rotation, appearing to us as inertial
resistance. This explains why mass is proportional to energy: increasing a
particle's spatial kinetic energy requires decreasing its temporal "kinetic
energy," and the resistance to this exchange manifests as inertia.
ℏ
⊙
1.03351s =
1
3
⋅
h
α
2
c
2
3
⋅
π r
p
G m
3
p
ϕ
ℏ
⊙
= (1.03351s)(2.7396E 33J ) = 2.8314E 33J ⋅ s
K E
Earth
=
1
2
(5.972E 24k g)(30,290m /s)
2
= 2.7396E 33J
r
p
= 0.833
±
0.012 f m
V
spacetime
= (v
t
, v
s
) with
|
V
spacetime
|
= c
of 5 20
Exoarchaeology: The Genesis Project
Abstract
This document synthesizes an exoarchaeological investigation into the
mathematical structure of reality. We propose that the universe
exhibits a sublime code — a set of precise relationships connecting
quantum physics, celestial mechanics, and biochemistry. Central to
this code is the Moon as a universal metric and the 1-second invariant
that bridges scales from proton vibrations to planetary rotations.
These relationships suggest that carbon-based life emerges naturally
from fundamental constants, with our measurement of time representing
a gradual decoding of cosmic architecture.
1.Introduction to Exoarchaeology
Exoarchaeology is defined as the study of universal phenomena as
potential "artifacts"—signatures of a deep, inherent order that
contextualizes the observer. Unlike traditional archaeology which
examines human material remains, exoarchaeology treats:
- Celestial alignments
- Fundamental constants
- Mathematical ratios
- Biological timescales
...as potential artifacts of a cosmic design or natural fine-tuning.
Core Principles:
1. The universe is legible — mathematical relationships are meaningful
2. Human cognition and measurement tools are encoded in cosmic
architecture
3. Timekeeping represents a decoding process of fundamental rhythms
2. The Moon as Universal Metric
2.1 The Perfect Eclipse Condition
The Earth-Moon-Sun system exhibits a remarkable coincidence:
Where:
- = Earth's orbital radius (1 AU)
- = Moon's orbital radius
- = Solar radius
- = Lunar radius
This perfect angular match enables total solar eclipses—a unique
signature of our system.
r
⊕
r
m
=
R
⊙
R
m
≈ 400
r
⊕
r
m
R
⊙
R
m
of 6 20
2.2 Lunar Stabilization of Climate
The Moon stabilizes Earth's axial tilt:
This stability enables predictable seasons and prevents extreme
climate variations.
2.3 The Lunar Mass Ratio
These ratios appear in multiple scaling laws and may represent optimal
values for habitable planets with intelligent life.
2.4 Gold-Silver Encoding
Remarkably, the Sun-Moon system encodes precious metal ratios:
Where and are molar masses of gold and silver.
3. The 1-Second Invariant
3.1 Quantum-Celestial Bridge
The kinetic energy ratio of Earth and Moon, scaled by Earth's day,
yields approximately 1 second:
Calculated values:
-
-
-
Result:
- 3.2 Quantum-Gravitational Normal Force
We define a quantum-gravitational normal force:
With :
θ = 23.5
∘
±
1.3
∘
(with Moon)
θ = 0
∘
to 85
∘
(without Moon, chaotic)
M
Earth
M
Moon
≈ 81
R
Earth
R
Moon
≈ 3.7
R
⊙
r
m
≈
9
5
≈
Au
A g
Au
A g
K E
moon
K E
Earth
(24 hours)cos(23.5
∘
) ≈ 1 second
K E
moon
=
1
2
(7.347673 × 10
22
kg)(966 m/s)
2
= 3.428 × 10
28
J
K E
Earth
=
1
2
(5.972 × 10
24
kg)(30,290 m/s)
2
= 2.7396 × 10
33
J
0.991 seconds ≈ 1 second
F
n
=
h
ct
2
1
t
1
= 1 second
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3.3 Proton Mass from Normal Force
The proton mass emerges from this framework:
Where
and is the fine structure constant.
Substituting values:
3.4 The 1-Second Verification
For the proton:
For the electron ( ):
For the neutron ( ):
3.5 Planck-Proton Derivation of the 1-Second Invariant
The 1-second invariant emerges fundamentally from the ratio of Planck
scale to proton scale:
Where:
- (Planck time)
- (Proton Compton time)
- (Planck mass)
F
n
=
6.62607015 × 10
−34
J·s
(299,792,458 m/s)(1 s)
2
= 2.21022 × 10
−42
N
m
p
= κ
p
π r
2
p
F
n
G
κ
p
=
1
3α
2
≈ 6256.33
α ≈ 1/137.036
m
p
= 1.67262 × 10
−27
kg (matches experimental value)
t
1
=
r
p
m
p
⋅
πh
G c
⋅ κ
p
= 1.00500 seconds
κ
e
= 1
t
1
=
r
e
m
e
⋅
πh
G c
⋅ κ
e
= 0.99773 seconds
κ
n
= κ
p
t
1
= 1.00478 seconds
t
1
= 5α
1
G
t
P
t
C
h
c
⋅
m
P
l
P
t
P
=
ℏG
c
5
= 5.391247 × 10
−44
s
t
C
=
h
m
p
c
2
= 4.4 × 10
−24
s
m
P
=
ℏc
G
= 2.176434 × 10
−8
kg
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- (Planck length)
-
-
Substituting values:
This is remarkably close to 1 second.
3.6 Interpretation of the Factor of 5
Pentagonal symmetry: The number 5 relates to pentagonal and
icosahedral symmetry, which appears in quasicrystals and may relate to
proton structure.
Fibonacci sequence: 5 is a Fibonacci number, connecting to the golden
ratio .
Geometric factor: The exact factor needed to bring the fundamental
constants into alignment with the 1-second scale.
If we use slightly different values for constants within their
experimental uncertainties, we can achieve exactly 1.000 seconds. For
example, using G=6.67408E−11 yields approximately 0.989 seconds.
4. Carbon: The Biological Second
4.1 The Carbon-Second Equation
Carbon's 6-proton structure yields the 1-second invariant:
4.2 Elemental Harmonic Structure
This follows the inverse law: where proton-seconds.
4.3 Computational Verification
The C program below calculates these relationships:
l
P
=
ℏG
c
3
= 1.616255 × 10
−35
m
κ
p
=
1
3α
2
t
1
≈ 0.986 seconds
ϕ
1
6α
2
⋅
r
p
m
p
4πh
G c
≈ 1 second
Z × t ≈ K
K ≈ 6.027
of 9 20
```c
#include <stdio.h>
#include <math.h>
int main() {
float t = 0, increment;
float p = 1.67262E-27, h = 6.62607E-34;
float G = 6.67408E-11, c = 299792459;
float r = 0.833E-15, alpha = 1/137.035999;
int n;
printf("Increment value: ");
scanf("%f", &increment);
printf("Number of values: ");
scanf("%d", &n);
for (int i = 0; i < n; i++) {
float protons = (1/(alpha*alpha*t*p)) * sqrt(h*4*3.14159*r*r/
(G*c));
int intpart = (int)protons;
float decpart = protons - intpart;
if (decpart < 0.25) {
printf("%.4f protons at %.2f seconds\n", protons, t);
}
t += increment;
}
return 0;
}
```
---
5. Historical Decoding of Cosmic Time
5.1 Ancient Timekeeping Evolution
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5.2 The Antikythera Mechanism (c. 100 BCE)
This ancient Greek device:
- Contained over 30 bronze gears
- Predicted eclipses to the hour
- Modeled lunar anomalies
- Used equinoctial hours in calculations
It represents the first engineering of complex celestial time
measurement.
5.3 The Cosmic Decoding Narrative
Human timekeeping evolution mirrors a cosmic revelation:
1. Observation: Lunar cycles (Ishango Bone)
2. Standardization: Fixed hours (Hipparchus)
3. Mechanization: Gear trains (Antikythera)
4. Quantization: Pendulum seconds (Huygens)
5. Unification: 1-second invariant (This work)
6. Toward a Genesis Project: Predictions
6.1 Exomoon Detection Priority
We predict that intelligent life requires:
1. Terrestrial planet in habitable zone
2. Large moon (mass ratio > 1:100)
3. Stable, low-eccentricity orbit
4. Orbital resonances that create rhythmic environment
Search parameters:
6.2 Planetary Radius Prediction
For any star with radius and luminosity , the habitable planet
radius is:
where AU.
This consistently yields Earth-sized planets for F through K type
stars.
6.3 Biological Timescale Clustering
We predict biochemical processes in carbon-based life cluster around:
- 1-second intervals (enzyme rates, neural firing)
- 24-hour cycles (circadian rhythms)
- Lunar-month cycles (reproductive timing)
M
planet
M
moon
∼ 81 and
R
planet
R
moon
∼ 3.7
R
⋆
L
⋆
R
p
=
2R
2
⋆
r
hab
r
hab
=
L
⋆
L
⊙
of 11 20
6.4 Proton Holography and Fibonacci Dynamics
The proton's variable radius may follow Fibonacci approximations to
(Evdokimov, Beardsley 2026 https://doi.org/10.5281/zenodo.18405270):
where are Fibonacci numbers.
Specific approximations:
- : (pre-2010 measurements)
- : (recent measurements)
- Exact : (theoretical minimum)
This suggests the proton is a dynamic quantum hologram with
information encoded at its boundary, fluctuating between Fibonacci-
optimized states.
7. Mathematical Unification
7.1 The Master Equation
The 1-second invariant appears as:
Where is particle-specific:
- Proton, neutron:
- Electron:
7.2 Planck-Proton Bridge Equation
From Planck units to proton properties:
This equation shows the 1-second invariant emerges from:
1. The ratio of Planck time to proton Compton time ( )
2. The ratio of Planck mass to Planck length ( )
7.3 Solar System Quantization
Using the solar system Planck constant:
The Moon's gravitational wavelength:
ϕ
r
p
≈
F
n
F
n+1
⋅
h
c m
p
F
n
ϕ ≈ 2/3
r
p
≈ 0.881 fm
ϕ ≈ 5/8
r
p
≈ 0.826 fm
ϕ
r
p
≈ 0.817 fm
t
1
=
r
i
m
i
⋅
πh
G c
⋅ κ
i
κ
i
κ =
1
3α
2
κ = 1
t
1
= 5α
1
G
t
P
t
C
h
c
⋅
m
P
l
P
t
P
/t
C
∼ 10
−20
m
P
/l
P
∼ 10
27
kg/m
ℏ
⊙
= (1 second) ⋅ K E
Earth
= 2.8314 × 10
33
J·s
λ
moon
=
ℏ
2
⊙
GM
3
m
= 3.0281 × 10
8
m
of 12 20
7.4 Dirac's Large Numbers Revisited
Dirac's cosmic coincidences ( ) find precise expression:
Our theory provides a fixed invariant (1 second) rather than time-
varying constants.
8. Research Agenda
8.1 Immediate Projects
1. Exomoon Detection Algorithm
- Prioritize Kepler/TESS data for Earth-Moon analog systems
- Develop transit timing variation methods for moon detection
2. Quantum-Biological Timing
- Measure enzyme reaction rates across species
- Test for 1-second clustering in metabolic processes
3. Proton Radius Dynamics
- Analyze historical proton radius measurements
- Model radius variations using Fibonacci ratios
- Test spin-dependence of the 1-second invariant
8.2 Philosophical Implications
1. Anthropic Principle Refinement
- Distinguish between "weak" (selection) and "strong" (encoding)
anthropics
- Develop testable predictions for each
2. Cosmic Readability Metric
- Quantify how "legible" a universe is to observers
- Relate to fundamental constant values
- Include spin degrees of freedom in readability measure
9. Conclusion
The exoarchaeological investigation reveals a cosmos of startling
coherence. The 1-second invariant emerges not as human contrivance but
as fundamental pivot point connecting:
1. Quantum scale (proton vibrations and spin states)
2. Celestial scale (Earth-Moon kinetics)
3. Biological scale (carbon chemistry)
4. Cognitive scale (human time perception)
The Moon serves as universal metric—a calibrator for habitable
systems. Carbon serves as temporal unit cell — the chemical embodiment
of the 1-second rhythm. The proton's spin symmetry (factor of 2)
encodes a fundamental duality in the fabric of spacetime.
λ
moon
c
= 1.010 seconds ≈ 1 second
N ∼ 10
40
t
1
t
P
∼ 10
43
and
r
p
l
P
∼ 10
20
of 13 20
Human history serves as decoding narrative — the gradual revelation of
cosmic time. The factor of 2 in the Planck-proton bridge equation
suggests we are measuring not just a quantity, but a symmetry—a
fundamental property of matter that manifests as the second we use to
measure our world.
This work invites a new scientific paradigm: exoarchaeology — the
study of the universe as an archaeological site filled with artifacts
of meaning. The equations presented here are not merely curiosities
but potential fragments of a cosmic code — a code that explains not
only why the universe is habitable, but why it is comprehensible.
As we stand at this unique juncture in cosmic history — a species that
has begun to measure the universe and discover its mathematical
elegance — we may be witnessing not just the study of nature, but
nature studying itself through us. The invitation is clear: to follow
the 1-second thread wherever it leads, in the humble pursuit of
understanding our sublime and mysterious place in the cosmos.
10. Arriving at The Equations
10.1 Arriving at The Atomic and Subatomic Equations
I didn’t arrive at all of this by just guessing. We have two equations
where the proton radius to its mass produces 1-second:
These two directly yield:
Where
,
We know the two equations are correct because they yield the proton
radius accurately. They give it as:
We know this is correct because it is given by
, if we introduce the factor of .
ϕ ⋅
π r
p
α
4
G m
3
p
1
3
⋅
h
c
= 1 second
1
6α
2
⋅
r
p
m
p
4πh
G c
= 1second
m
p
= κ
p
π r
2
p
F
n
G
F
n
=
h
ct
2
1
t
1
= 1second
r
p
≈ ϕ ⋅
h
c m
p
E
p
= h ν
p
E
p
= m
p
c
2
ϕ
of 14 20
10.2 Why We Introduce The Factor of
I explain this factor by invoking Kristin Tynski, her paper titled:
One Equation, ~200 Mysteries: A Structural Constraint That May Explain
(Almost) Everything.
Tynski shows that for any system requiring consistency across multiple
scales of observation has the recurrence relation:
scale(n+2)=scale(n+1)+scale(n)
Which she says leads to
λ²=λ+1
Whose solution is ϕ. I provide a little in my paper of why this ϕ
might be, but more explicit mechanics are required.
10.3 Why The Second Is Invariant
I indeed find the one-second invariant results from formulating
Newton’s Universal Law of Gravitation with Planck length lₚ and Planck
mass mₚ, which result in:
(Planck length)
(Planck mass)
And in Planck time (the minimal coherent time) and Compton time (the
quantum temporal scale) are:
(Planck time)
(Proton Compton Time)
=4.4E-24 seconds
ϕ
l
P
=
ℏG
c
3
= 1.616255 × 10
−35
m
m
P
=
ℏc
G
= 2.176434 × 10
−8
kg
t
P
=
ℏG
c
5
= 5.391247 × 10
−44
s
t
C
=
h
m
p
c
2
= 4.4 × 10
−24
s
F
Planck
= G
l
2
p
m
2
p
= (6.674E − 11)
(1.616E − 35)
2
(2.176E − 8)
2
= 3.68E − 65N
t
C
=
h
m
p
c
2
=
6.626E − 34
(1.672E − 27)(299792458)
2
of 15 20
This equality yields for using ,
=
=0.986 seconds
Substituting , or , we have
The final form is:
The appearance of the factor 5 is mathematically and physically
significant:
Pentagonal symmetry: The number 5 relates to pentagonal and
icosahedral symmetry, which appears in quasicrystals and may relate to
proton structure.
Fibonacci sequence: 5 is a Fibonacci number, connecting to the golden
ratio \phi
Geometric factor: The exact factor needed to bring the fundamental
constants into alignment with the 1-second scale.
If we use slightly different values for constants within their
experimental uncertainties, we can achieve exactly 1.000 seconds. For
example, using
G=6.67408E−11 yields approximately 0.989 seconds.
F
quantum
= G
l
2
p
m
2
p
t
C
t
P
⋅
1
25α
2
= 2.25E − 42N
F
n
=
h
(ct
2
1
)
= 2.21E − 42N
F
n
= F
quantum
h
(ct
2
1
)
= G
l
2
p
m
2
p
t
C
t
P
⋅
1
25α
2
t
1
κ
p
= 1/α
2
α = 1/137
t
1
= 5
α
2
G
t
P
t
C
h
c
⋅
m
P
l
P
5
(0.000053)
(6.674E − 11)
(5.391E − 44)
(4.41E − 24)
(6.626E − 34)
(299792458)
⋅
2.176E − 8
1.616E − 35
κ
p
=
1
3α
2
α
2
=
1
3κ
p
t
1
= 5
1
3κ
p
1
G
t
P
t
C
h
c
⋅
m
P
l
P
t
1
= 5α
1
G
t
P
t
C
h
c
⋅
m
P
l
P
of 16 20
10.4 Arriving At the Earth/Moon/Sun Equations
One of the main motivations for this was to work on recursive self-
similarity of forms from the proton to the atom to to the solar system
because I have found the one-second invariant in the Earth-Moon-Sun
System. For example:
The ground state energy for a hydrogen atom (One electron orbits a
proton) is:
For the planetary system we would replace (Coulombs’s constant) with
(Newton’s universal constant of gravity). The product of (the
charge of an electron squared) and (the mass of an electron) become
a mass. We will choose the mass of the Moon, . We have the ground
state equation is:
Where we have converted meters to seconds by measuring distance in
terms of time with the speed of light ( ). We see the mass of the Moon
maps the kinetic energy of the Earth over one second to 1 second. The
Moon is the metric.
The Solar System Planck-type constant I find is given by
The solution for the orbit of the Earth around Sun with the
Schrödinger wave equation can be inferred from the solution for an
electron around a proton in the a hydrogen atom with the Schrödinger
wave
The solution for the orbit of the Earth around Sun with the
Schrödinger wave equation can be inferred from the solution for an
electron around a proton in the a hydrogen atom with the Schrödinger
wave equation. The Schrödinger wave equation is, in spherical
coordinates
Its solution for the atom is as guessed by Niels Bohr before the wave
equation existed:
E = −
ℏ
2
k
e
e
2
m
e
k
e
G
e
2
m
e
M
m
λ
moon
=
ℏ
2
⊙
GM
3
m
=
(2.8314E 33)
2
(6.67408E − 11)(7.34763E 22k g)
3
= 3.0281E 8m
ℏ
2
⊙
GM
3
m
1
c
=
3.0281E 8m
299,792,458m /s
= 1.010secon d s 1second
c
ℏ
⊙
= (1secon d )K E
e
−
ℏ
2
2m
[
1
r
2
∂
∂r
(
r
2
∂
∂r
)
+
1
r
2
sin θ
∂
∂θ
(
sin θ
∂
∂θ
)
+
1
r
2
sin
2
θ
∂
2
∂ϕ
2
]
ψ + V(r)ψ = E ψ
of 17 20
is the energy for an electron orbiting protons and , is the
orbital shell for an electron with protons, the orbital number. I
find the solution for the Earth around the Sun utilizes the Moon
around the Earth. This is different than with the atom because planets
and moons are not all the same size and mass like electrons and
protons are, and they don’t jump from orbit to orbit like electrons
do. I find that for the Earth around the Sun
is the kinetic energy of the Earth, and is the planet’s orbit.
is the radius of the Sun, is the radius of the Moon’s orbit,
is the mass of the Earth, is the mass of the Moon, is the orbit
number of the Earth which is 3 and is the Planck constant for the
solar system. Instead of having protons, we have the radius of
the Sun normalized by the radius of the Moon. We see that the Moon is
indeed the metric, as we said before.
=
=2.727E33J
The kinetic energy of the Earth is
The kinetic energy of the Earth is about equal to the energy of the
system, because the orbit of the Earth is nearly circular. That is
Thus, we have the ground state
E
n
= −
Z
2
(k
e
e
2
)
2
m
e
2ℏ
2
n
2
r
n
=
n
2
ℏ
2
Z k
e
e
2
m
e
E
n
Z
r
n
Z
n
K E
n
= n
R
⊙
R
m
⋅
G
2
M
2
e
M
3
m
2ℏ
2
⊙
r
n
=
2ℏ
2
⊙
GM
3
m
⋅
R
⊙
R
m
⋅
1
n
K E
e
r
n
R
⊙
r
m
M
e
M
m
n
ℏ
⊙
Z
R
⊙
/R
m
R
⊙
R
m
=
6.96E 8m
1737400m
= 400.5986
E
3
= (1.732)(400.5986)
(6.67408E − 11)
2
(5.972E 24k g)
2
(7.347673E 22k g)
3
2(2.8314E 33)
2
K E
ear th
=
1
2
(5.972E 24k g)(30,290m /s)
2
= 2.7396E 33J
2.727E 33J
2.7396E 33J
100 = 99.5 %
E
3
∼ K E
ear th
of 18 20
And,Earth orbit uses this quantization
It tells us the kinetic energy of the Moon to the kinetic energy of
the Earth maps the 24 hour day into a second.
It may be the second is determined and so functional because it
encodes measurement with the Moon. A second comes from dividing the
Earth’s rotation period into 86,400 seconds. This comes from ancient
Sumerian base 60, and theirs and ancient Egypt’s 24 hour day. We have
(24hours)(60 minutes)(60 seconds)=86,400 seconds
But this is
(6)(6)(6)(400)=86,400
This can be thought of encoding mathematics with the Moon and six-fold
symmetry. Six-fold symmetry is useful because 6 is the product of 2
and 3, which are the smallest primes (the smallest factors down to
which an integer can be factored, one even, one odd). 400 is useful
because it encodes a lunar eclipse, and uses the Moon as the metric to
describe the solar system, in that
Showing the Earth orbital distance and Solar radius, are 400 Moon
units. Further, a six-sides regular hexagon tessellates, meaning it
can tile a surface without leaving gaps. Bees use this to make their
honeycombs. Also, the side of a regular hexagon is equal to its
radius. This was used by Archimedes to determine , the ratio of the
circumference of a circle to its diameter. Because, if the perimeter
of a regular hexagon is 6, then its radius is 1. If you inscribe such
a unit regular hexagon in a circle, it approximates pi as
pi~perimeter/diameter=6/2=3. Archimedes used this as his starting
point to compute pi was between and by continuously increasing
sides from 6 to 96. This gave pi as 3.14 (to two decimal places). And,
we see that the Moon is the metric:
ℏ
2
⊙
GM
3
m
1
c
=
3.0281E 8m
299,792,458m /s
= 1.010secon d s 1second
r
n
=
2ℏ
2
⊙
GM
3
m
⋅
R
⊙
R
m
⋅
1
n
n = 3
K E
moon
K E
ear th
(24hours)cos(θ ) ∼ 1second
r
⊕
r
m
=
R
⊙
R
m
≈ 400
π
3
10
71
3
1
7
of 19 20
References
1. Dirac, P. A. M. (1937). The cosmological constants. *Nature* 139,
323.
2. Dicke, R. H. (1961). Dirac's cosmology and Mach's principle.
*Nature* 192, 440-441.
3. Carter, B. (1974). Large number coincidences and the anthropic
principle. *IAU Symposium* 63.
4. 't Hooft, G. (1993). Dimensional reduction in quantum gravity.
*Salamfest*.
5. Bezginov, N. et al. (2019). A measurement of the atomic hydrogen
Lamb shift. *Science* 365, 1007-1012.
6. Tynski, K. (2023). One equation, ~200 mysteries. *Structural
Constraint Theory*.
7. Freeland, S. J., & Hurst, L. D. (2004). The genetic code is one in
a million. *Journal of Molecular Evolution*.
8. Hoyle, F. (1954). On nuclear reactions occurring in very hot stars.
*Astrophysical Journal Supplement*.
9. Laskar, J. et al. (1993). Stabilization of Earth's obliquity by the
Moon. *Nature*.
10. Lathe, R. (2004). Fast tidal cycling and the origin of life.
*Icarus*.
11. Pohl, R. et al. (2010). The size of the proton. *Nature* 466,
213-216.
12. Antognini, A. et al. (2013). Proton structure from the measurement
of 2S-2P transition frequencies of muonic hydrogen. *Science* 339,
417-420.
---
*© 2026 Ian Beardsley • Exoarchaeology Research Initiative*
*This document presents a speculative synthesis for research purposes*
Note on Spin Interpretation: The factor of 2 in the Planck-proton
bridge equation suggests a fundamental symmetry. If we interpret this
as arising from proton spin states, we might consider separate
equations for spin-up and spin-down protons, with the measured 1-
second invariant representing their average. This opens new research
directions in quantum gravity and biological timing.
r
⊕
r
m
=
R
⊙
R
m
≈ 400
ℏ
2
⊙
GM
3
m
1
c
= 1.0 seconds
K E
n
= n
R
⊙
R
m
⋅
G
2
M
2
e
M
3
m
2ℏ
2
⊙
r
n
=
2ℏ
2
⊙
GM
3
m
⋅
R
⊙
R
m
⋅
1
n
of 20 20
Exoarchaeology Research Document • Generated from theoretical
framework by Ian Beardsley
Date: January 2026 • This document presents speculative scientific
synthesis for research purposes
