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Exoarchaeology: The Genesis Project
Ian Beardsley
February 02, 2026
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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
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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
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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
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
±
0.012f m
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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
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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
= 2
1
κ
p
1
G
t
P
t
C
h
c
⋅
m
P
l
P
t
P
=
ℏG
c
5
= 5.391247 × 10
−44
s
t
C
=
ℏ
m
p
c
2
= 2.103089 × 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 (0.7% difference).
3.6 Interpretation of the Factor of 2
The factor of 2 in this equation has multiple possible
interpretations:
1. Proton Spin States: The proton has spin-½ with two possible
orientations (up and down). The factor of 2 may represent averaging
over both spin states, suggesting the invariant is spin-independent.
2. Time Symmetry: The factor of 2 could represent forward and backward
time evolution, or the complete cycle of a quantum process.
3. Duality in Measurement: The factor emerges from translating between
different representations:
Taking the square root gives:
which introduces the factor of 2 when inverted.
4. Pair Production: The factor of 2 could relate to proton-antiproton
pair production thresholds or vacuum fluctuations.
This derivation shows that the 1-second invariant is fundamentally
rooted in the ratio between the Planck scale (quantum gravity) and the
proton scale (quantum chromodynamics), with the factor of 2 encoding
fundamental symmetries of the proton.
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
l
P
=
ℏG
c
3
= 1.616255 × 10
−35
m
κ
p
=
1
3α
2
t
1
≈ 0.9927 seconds
t
1
≈ 0.9927 seconds
1
4κ
p
=
1
2
1
κ
p
1
6α
2
⋅
r
p
m
p
4πh
G c
≈ 1 second
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This follows the inverse law: where proton-seconds.
4.3 Computational Verification
The C program below calculates these relationships:
```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;
Z × t ≈ K
K ≈ 6.027
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}
```
---
5. Historical Decoding of Cosmic Time
5.1 Ancient Timekeeping Evolution
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
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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)
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:
M
planet
M
moon
∼ 81 and
R
planet
R
moon
∼ 3.7
R
⋆
L
⋆
R
p
=
2R
2
⋆
r
hab
r
hab
=
L
⋆
L
⊙
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
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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 ( )
3. The proton's coupling to quantum gravity ( )
4. The factor of 2 encoding proton spin symmetry
7.3 Solar System Quantization
Using the solar system Planck constant:
The Moon's gravitational wavelength:
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
κ
i
κ =
1
3α
2
κ = 1
t
1
= 2
1
κ
p
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
κ
p
ℏ
⊙
= (1 second) ⋅ K E
Earth
= 2.8314 × 10
33
J·s
λ
moon
=
ℏ
2
⊙
GM
3
m
= 3.0281 × 10
8
m
λ
moon
c
= 1.010 seconds ≈ 1 second
N ∼ 10
40
t
1
t
P
∼ 10
43
and
r
p
l
P
∼ 10
20
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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 Theoretical Development
1.Spin-Resolved 1-Second Invariant
with .
2. Holographic Proton Model
- Develop information-theoretic model of proton as screen
- Relate Fibonacci ratios to quantum computational states
- Connect spin states to holographic degrees of freedom
3. Temporal Invariant Extension
- Test if other timescales (millisecond, year) show similar
invariance
- Relate to biological rhythms (heartbeat, breathing)
- Investigate spin dependence in biological timing
8.3 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.
t
↑
1
=
1
κ
p
1
G
t
P
t
C
h
c
⋅
m
P
l
P
t
↓
1
=
1
κ
p
1
G
t
P
t
C
h
c
⋅
m
P
l
P
t
1
= (t
↑
1
+ t
↓
1
)
of 14 15
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.
References
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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.
of 15 15
Exoarchaeology Research Document • Generated from theoretical
framework by Ian Beardsley
Date: January 2026 • This document presents speculative scientific
synthesis for research purposes
