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> *These numbers are not human inventions — they are discoveries. Any mind, anywhere, investigating reality, must encounter these same values. They are the fingerprints of existence itself.*
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> *These numbers are not human inventions — they are discoveries. Any mind, anywhere, investigating reality, must encounter these same values. They are the fingerprints of existence itself.*
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> **v2.0 update note:** Several values have shifted with CODATA 2022 (published 2024–2025), the muon g-2 final result (June 2025), DESI DR2 (2025), and the discovery of the 52nd Mersenne prime (October 2024). See [§12 What's New Since v1.0](#12-whats-new-since-v10) for a summary.
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---
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## Table of Contents
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## Table of Contents
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9. [Information-Theoretic Constants](#9-information-theoretic-constants)
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9. [Information-Theoretic Constants](#9-information-theoretic-constants)
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10. [The Weird and Profound](#10-the-weird-and-profound)
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10. [The Weird and Profound](#10-the-weird-and-profound)
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11. [The Alien Contact Number Set](#11-the-alien-contact-number-set)
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11. [The Alien Contact Number Set](#11-the-alien-contact-number-set)
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12. [What's New Since v1.0](#12-whats-new-since-v10)
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---
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---
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The **purest physical truths** — no unit system required, identical value everywhere in the universe. These are the settings on reality's control panel.
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The **purest physical truths** — no unit system required, identical value everywhere in the universe. These are the settings on reality's control panel.
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> **CODATA 2022 update:** Several precision values were refined in the 2022 adjustment (published 2024–2025). The most consequential shift was a small reduction in the central value of the fine structure constant.
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| Constant | Symbol | Value | What It Determines |
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| Constant | Symbol | Value | What It Determines |
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|----------|--------|-------|-------------------|
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|----------|--------|-------|-------------------|
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| **Fine Structure Constant** | α | 0.0072973525693(11) ≈ 1/137.036 | Electromagnetic interaction strength. Governs ALL chemistry. |
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| **Fine Structure Constant** | α | 0.0072973525643(11) ≈ 1/137.035999177(21) — *CODATA 2022* | Electromagnetic interaction strength. Governs ALL chemistry. |
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| **Proton-Electron Mass Ratio** | μ | 1836.15267343(11) | Atomic stability. Why chemistry works at all. |
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| **Proton-Electron Mass Ratio** | μ | 1836.152673426(32) — *CODATA 2022* | Atomic stability. Why chemistry works at all. |
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| **Strong Coupling Constant** | α_s | ~0.1181 (at Z boson mass) | Nuclear force strength. Why atomic nuclei exist. |
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| **Strong Coupling Constant** | α_s | 0.1180(9) (at Z boson mass, PDG 2024) | Nuclear force strength. Why atomic nuclei exist. |
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| **Gravitational Coupling** | α_G | ~5.9 × 10⁻³⁹ | Gravity's relative strength. Why gravity is so weak. |
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| **Gravitational Coupling** | α_G | ~5.9 × 10⁻³⁹ | Gravity's relative strength. Why gravity is so weak. |
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| **Weak Mixing Angle** | sin²θ_W | ~0.22290 | Electroweak unification parameter. |
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| **Weak Mixing Angle** | sin²θ_W | ~0.22290 | Electroweak unification parameter. |
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| **Electron g-factor Anomaly** | a_e | 0.00115965218128(18) | QED's most precise prediction. Theory matches experiment to 12 digits. |
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| **Electron g-factor Anomaly** | a_e | 0.00115965218059(13) | QED's most precise prediction. Theory matches experiment to 12 digits. |
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| **Muon g-factor Anomaly** | a_μ | 0.001165920705(114)(91) — *Fermilab final, 2025* | New world record precision (127 ppb). Sensitive to new physics. |
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| **Cabibbo Angle** | θ_C | ~13.1° | Quark mixing. Why strange particles decay as they do. |
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| **Cabibbo Angle** | θ_C | ~13.1° | Quark mixing. Why strange particles decay as they do. |
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### The Fine Structure Constant: Deep Dive
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### The Fine Structure Constant: Deep Dive
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```
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```
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α = e²/(4πε₀ℏc) ≈ 1/137.035999...
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α = e²/(4πε₀ℏc) ≈ 1/137.035999177... [CODATA 2022]
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This single dimensionless number determines:
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This single dimensionless number determines:
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@@ -131,26 +137,60 @@ Any advanced civilization will have discovered this number
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and likely wondered the same things.
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and likely wondered the same things.
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```
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```
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### The Muon g-2 Saga (closed in 2025)
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```
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On June 3, 2025, the Fermilab Muon g-2 collaboration released
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its final, third-and-best measurement of the muon's anomalous
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magnetic moment, ending an effort that began at CERN in the 1970s:
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a_μ = 0.001165920705 ± 0.000000000114(stat) ± 0.000000000091(syst)
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Precision: 127 parts per billion — a fourfold improvement
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over the previous-generation BNL E821 result.
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The Standard Model prediction has been a moving target:
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├── 2020 Theory Initiative whitepaper (data-driven):
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│ a_μ = (116591810 ± 43) × 10⁻¹¹ → ~5σ tension w/ experiment
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├── Lattice QCD calculations (BMW et al.):
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│ agree better with experiment (smaller tension)
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└── 2025 Theory Initiative update:
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a_μ = (116592033 ± 62) × 10⁻¹¹
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statistically incompatible with the 2020 prediction (~3σ)
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The takeaway: the experimental answer is now locked in.
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Whether this constitutes a hint of physics beyond the
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Standard Model has shifted into a question about how to
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calculate hadronic vacuum polarization — not about whether
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the muon really wobbles a little faster than QED alone says.
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This ranks among the highest-precision tests of physics
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ever performed, and the experiment received the 2026
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Breakthrough Prize in Fundamental Physics.
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```
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---
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---
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## 3. Fundamental Physical Constants
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## 3. Fundamental Physical Constants
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These depend on unit systems, but their **ratios** are universal. Any civilization measuring the universe finds these.
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These depend on unit systems, but their **ratios** are universal. Any civilization measuring the universe finds these.
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> Values reflect CODATA 2022 (published 2024–2025). Constants marked *exact* are defined by the SI as of the 2019 redefinition.
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| Constant | Symbol | SI Value | Role |
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| Constant | Symbol | SI Value | Role |
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|----------|--------|----------|------|
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|----------|--------|----------|------|
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| **Speed of Light** | c | 299,792,458 m/s (exact) | Maximum velocity. Spacetime structure. Causality. |
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| **Speed of Light** | c | 299,792,458 m/s (*exact*) | Maximum velocity. Spacetime structure. Causality. |
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| **Planck's Constant** | h | 6.62607015 × 10⁻³⁴ J·s (exact) | Quantum of action. Granularity of nature. |
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| **Planck's Constant** | h | 6.62607015 × 10⁻³⁴ J·s (*exact*) | Quantum of action. Granularity of nature. |
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| **Reduced Planck** | ℏ | 1.054571817 × 10⁻³⁴ J·s | h/(2π). More natural in many equations. |
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| **Reduced Planck** | ℏ | 1.054571817... × 10⁻³⁴ J·s | h/(2π). More natural in many equations. |
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| **Gravitational Constant** | G | 6.67430(15) × 10⁻¹¹ m³/(kg·s²) | Gravity's strength. Least precisely known. |
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| **Gravitational Constant** | G | 6.67430(15) × 10⁻¹¹ m³/(kg·s²) | Gravity's strength. Least precisely known. |
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| **Boltzmann Constant** | k_B | 1.380649 × 10⁻²³ J/K (exact) | Temperature-energy bridge. Statistical mechanics. |
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| **Boltzmann Constant** | k_B | 1.380649 × 10⁻²³ J/K (*exact*) | Temperature-energy bridge. Statistical mechanics. |
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| **Elementary Charge** | e | 1.602176634 × 10⁻¹⁹ C (exact) | Quantum of electric charge. |
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| **Elementary Charge** | e | 1.602176634 × 10⁻¹⁹ C (*exact*) | Quantum of electric charge. |
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| **Electron Mass** | m_e | 9.1093837015(28) × 10⁻³¹ kg | Lightest charged particle. Sets atomic scales. |
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| **Electron Mass** | m_e | 9.1093837139(28) × 10⁻³¹ kg — *CODATA 2022* | Lightest charged particle. Sets atomic scales. |
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| **Proton Mass** | m_p | 1.67262192369(51) × 10⁻²⁷ kg | Lightest stable baryon. Nuclear physics scale. |
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| **Proton Mass** | m_p | 1.67262192595(52) × 10⁻²⁷ kg — *CODATA 2022* | Lightest stable baryon. Nuclear physics scale. |
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| **Neutron Mass** | m_n | 1.67492749804(95) × 10⁻²⁷ kg | Slightly heavier than proton. Enables nuclear stability. |
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| **Neutron Mass** | m_n | 1.67492750056(85) × 10⁻²⁷ kg — *CODATA 2022* | Slightly heavier than proton. Enables nuclear stability. |
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| **Avogadro's Number** | N_A | 6.02214076 × 10²³ /mol (exact) | Atoms per mole. Bridge macro-micro. |
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| **Avogadro's Number** | N_A | 6.02214076 × 10²³ /mol (*exact*) | Atoms per mole. Bridge macro-micro. |
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| **Vacuum Permittivity** | ε₀ | 8.8541878128 × 10⁻¹² F/m | Electric field in vacuum. |
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| **Vacuum Permittivity** | ε₀ | 8.8541878188(14) × 10⁻¹² F/m | Electric field in vacuum. |
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| **Vacuum Permeability** | μ₀ | 1.25663706212 × 10⁻⁶ H/m | Magnetic field in vacuum. |
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| **Vacuum Permeability** | μ₀ | 1.25663706127(20) × 10⁻⁶ H/m | Magnetic field in vacuum. |
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### Relationships Between Constants
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### Relationships Between Constants
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@@ -171,6 +211,24 @@ These relationships are THEOREMS, not observations.
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Any physics leads to these connections.
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Any physics leads to these connections.
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```
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```
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### Note on G
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```
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Of all the fundamental constants, the gravitational constant
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G remains the most stubbornly imprecise. CODATA's recommended
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value still rests on data sets with significant inconsistencies,
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which is why a 3.9 expansion factor has been applied to the
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uncertainty since 2018, retained again in 2022.
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The 2026 CODATA adjustment — closing on 31 December 2026 —
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is preparing to incorporate new G measurements presented at
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the September 2025 task-group meeting in Warsaw.
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The other constants have been tightened to parts-per-billion
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or better. G languishes at parts-per-ten-thousand.
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This is a known anomaly, not a settled number.
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```
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---
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---
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## 4. Planck Units: Nature's Native System
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## 4. Planck Units: Nature's Native System
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(3,5), (5,7), (11,13), (17,19), (29,31), (41,43)...
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(3,5), (5,7), (11,13), (17,19), (29,31), (41,43)...
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Infinite? Still unproven!
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Infinite? Still unproven!
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Largest known prime (as of 2026):
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M₁₃₆₂₇₉₈₄₁ = 2¹³⁶²⁷⁹⁸⁴¹ − 1
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├── 41,024,320 decimal digits
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├── 52nd known Mersenne prime
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├── Discovered Oct 12, 2024 by Luke Durant (GIMPS)
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├── First Mersenne prime found on GPUs (not CPUs)
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└── Ends a 28-year reign of CPU-found records
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Any civilization doing arithmetic discovers primes.
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Any civilization doing arithmetic discovers primes.
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```
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```
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@@ -299,7 +365,10 @@ Definition: Equal to sum of proper divisors
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Connection to Mersenne Primes:
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Connection to Mersenne Primes:
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├── If 2ⁿ-1 is prime, then 2ⁿ⁻¹(2ⁿ-1) is perfect
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├── If 2ⁿ-1 is prime, then 2ⁿ⁻¹(2ⁿ-1) is perfect
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├── All known even perfect numbers have this form
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├── All known even perfect numbers have this form
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├── Odd perfect numbers: NONE FOUND (existence unknown!)
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├── Each new Mersenne prime begets a new perfect number
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├── 52 even perfect numbers known (as of 2026)
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├── Largest: 2¹³⁶²⁷⁹⁸⁴⁰ × (2¹³⁶²⁷⁹⁸⁴¹ − 1), > 82 million digits
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└── Odd perfect numbers: NONE FOUND (existence still unknown!)
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Rare, beautiful, discoverable by any number theorist.
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Rare, beautiful, discoverable by any number theorist.
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```
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```
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@@ -530,12 +599,15 @@ It's provable from quantum field theory.
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The parameters that define our universe's structure and evolution.
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The parameters that define our universe's structure and evolution.
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> **Status update (2026):** Two long-running anomalies have hardened into outright crises since v1.0 — the **Hubble tension** now exceeds 6σ, and **DESI DR2 (2025)** has provided up-to-4.2σ evidence that dark energy is *not* a cosmological constant. The familiar ΛCDM table below should be read as *one description* of the universe, not the only one consistent with current data.
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| Constant | Symbol | Value | Meaning |
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| Constant | Symbol | Value | Meaning |
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|----------|--------|-------|---------|
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|----------|--------|-------|---------|
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| **Hubble Constant** | H₀ | ~70 km/s/Mpc | Universe expansion rate |
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| **Hubble Constant** (early-universe / CMB) | H₀ | 67.4 ± 0.5 km/s/Mpc | Inferred from Planck CMB + ΛCDM |
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| **Age of Universe** | t₀ | 13.787 ± 0.020 billion years | Time since Big Bang |
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| **Hubble Constant** (local / SH0ES) | H₀ | ~73.0 ± 1.0 km/s/Mpc | Cepheid-calibrated SN Ia distance ladder |
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| **Age of Universe** | t₀ | 13.787 ± 0.020 billion years | Time since Big Bang (under ΛCDM) |
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| **CMB Temperature** | T_CMB | 2.72548 ± 0.00057 K | Cosmic background radiation |
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| **CMB Temperature** | T_CMB | 2.72548 ± 0.00057 K | Cosmic background radiation |
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| **Cosmological Constant** | Λ | ~10⁻⁵² m⁻² | Dark energy density |
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| **Cosmological Constant** | Λ | ~10⁻⁵² m⁻² | Dark energy density (now contested) |
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| **Critical Density** | ρ_c | ~9.47 × 10⁻²⁷ kg/m³ | Flat universe density |
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| **Critical Density** | ρ_c | ~9.47 × 10⁻²⁷ kg/m³ | Flat universe density |
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| **Matter Density** | Ω_m | ~0.315 | Matter fraction of critical |
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| **Matter Density** | Ω_m | ~0.315 | Matter fraction of critical |
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| **Dark Energy Density** | Ω_Λ | ~0.685 | Dark energy fraction |
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| **Dark Energy Density** | Ω_Λ | ~0.685 | Dark energy fraction |
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| **Curvature Parameter** | Ω_k | ~0 (very close) | Universe flatness |
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| **Curvature Parameter** | Ω_k | ~0 (very close) | Universe flatness |
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| **Baryon/Photon Ratio** | η | ~6.1 × 10⁻¹⁰ | Matter-antimatter asymmetry |
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| **Baryon/Photon Ratio** | η | ~6.1 × 10⁻¹⁰ | Matter-antimatter asymmetry |
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### The Hubble Tension (Now > 6σ)
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```
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Two independent, mature, well-controlled methods give
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incompatible answers for the universe's expansion rate:
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EARLY UNIVERSE (Planck CMB + ΛCDM extrapolation):
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H₀ = 67.4 ± 0.5 km/s/Mpc
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Confirmed by: WMAP+ACT (67.6 ± 1.1), DESI+BBN (68.5 ± 0.6)
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LATE UNIVERSE (SH0ES, distance ladder):
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H₀ = 73.04 ± 1.04 km/s/Mpc
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JWST has now corroborated the Cepheid calibration,
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ruling out crowding/dust as a systematic.
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Tension significance:
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├── 2019: ~4σ
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├── 2022: ~5σ (SH0ES with 300+ SNe Ia)
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├── 2025: > 6σ (Tensions in Cosmology meeting, Corfu)
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└── No single systematic can plausibly close the gap.
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What this means:
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├── ΛCDM may be incomplete or wrong
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├── New physics in the early universe (early dark energy?)
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├── New physics in the late universe (modified gravity?)
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├── Or — most uncomfortably — both
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└── The European Commission has awarded €12M (RedH0T project)
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specifically to chase this down.
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This is the most serious unresolved problem in cosmology
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since dark energy itself was discovered in 1998.
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```
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### Dark Energy May Not Be a Constant
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```
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DESI (Dark Energy Spectroscopic Instrument) Data Releases:
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├── DR1 (April 2024): first hints of evolving dark energy
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└── DR2 (2025): evidence strengthened to up to 4.2σ
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(depending on SN dataset combination)
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The signal:
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├── Combine DESI BAO + Planck CMB + SN Ia (Pantheon+/Union3/DES-Y5)
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├── Fit a w₀wₐCDM model (time-evolving equation of state)
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├── Late-universe data prefers w > -1 (quintessence-like)
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├── Early-universe data prefers w < -1 (phantom-like)
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└── A pure cosmological constant (w = -1 always) is disfavored.
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Caveats (as of late 2025):
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├── Bayesian model-comparison evidence is less decisive
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│ than the frequentist ~4σ headline suggests
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├── Different SN catalogues yield different significance
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├── Independent analyses (TDCOSMO 2025 lensing) reinforce
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│ the underlying tensions but not always the w₀wₐ fit
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└── The cosmological constant is bruised, not buried.
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If real, this is the biggest revision to fundamental cosmology
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since the 1998 discovery of acceleration itself.
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```
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### The Cosmic Inventory
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### The Cosmic Inventory
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```
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```
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Universe Composition (today):
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Universe Composition (today, ΛCDM baseline):
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Dark Energy: 68.5% ████████████████████████████░░░░
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Dark Energy: 68.5% ■■■■■■■■■■■■■■■■■■■■■■■■■■■■□□□□
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Dark Matter: 26.6% ██████████░░░░░░░░░░░░░░░░░░░░░░
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Dark Matter: 26.6% ■■■■■■■■■■□□□□□□□□□□□□□□□□□□□□□□
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Ordinary Matter: 4.9% ██░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░
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Ordinary Matter: 4.9% ■■□□□□□□□□□□□□□□□□□□□□□□□□□□□□□□
|
||||||
|
|
||||||
Of Ordinary Matter:
|
Of Ordinary Matter:
|
||||||
├── Intergalactic gas: ~50%
|
├── Intergalactic gas: ~50%
|
||||||
@@ -793,6 +925,11 @@ Explanations:
|
|||||||
├── Multiverse (all values exist, we're in viable one)
|
├── Multiverse (all values exist, we're in viable one)
|
||||||
├── Deeper theory (values derivable from fundamental principles)
|
├── Deeper theory (values derivable from fundamental principles)
|
||||||
├── Unknown
|
├── Unknown
|
||||||
|
|
||||||
|
Caveat (added 2026): If DESI's evolving dark energy holds up,
|
||||||
|
the "cosmological constant" entry in this list may not be a
|
||||||
|
constant at all — making the fine-tuning question stranger,
|
||||||
|
not simpler.
|
||||||
```
|
```
|
||||||
|
|
||||||
---
|
---
|
||||||
@@ -830,9 +967,9 @@ PROOFS AS COMMUNICATION:
|
|||||||
|
|
||||||
```
|
```
|
||||||
DIMENSIONLESS (pure numbers):
|
DIMENSIONLESS (pure numbers):
|
||||||
├── α = 1/137.035999... (fine structure)
|
├── α = 1/137.035999177... (fine structure, CODATA 2022)
|
||||||
├── μ = 1836.15267... (proton/electron mass)
|
├── μ = 1836.152673426... (proton/electron mass)
|
||||||
└── α_s ≈ 0.1181 (strong coupling)
|
└── α_s ≈ 0.1180 (strong coupling)
|
||||||
|
|
||||||
SPECTROSCOPIC (stellar signatures):
|
SPECTROSCOPIC (stellar signatures):
|
||||||
├── Hydrogen emission lines
|
├── Hydrogen emission lines
|
||||||
@@ -899,6 +1036,93 @@ Star map:
|
|||||||
|
|
||||||
---
|
---
|
||||||
|
|
||||||
|
## 12. What's New Since v1.0
|
||||||
|
|
||||||
|
A summary of changes from the December 2024 edition:
|
||||||
|
|
||||||
|
### Constants refined (CODATA 2022, published May 2024 / Rev. Mod. Phys. 2025)
|
||||||
|
|
||||||
|
```
|
||||||
|
Fine structure constant:
|
||||||
|
v1.0: α = 0.0072973525693(11), α⁻¹ ≈ 1/137.036
|
||||||
|
v2.0: α = 0.0072973525643(11), α⁻¹ = 137.035999177(21)
|
||||||
|
|
||||||
|
Proton-electron mass ratio:
|
||||||
|
v1.0: μ = 1836.15267343(11)
|
||||||
|
v2.0: μ = 1836.152673426(32)
|
||||||
|
|
||||||
|
Electron, proton, neutron masses: tightened uncertainties
|
||||||
|
ε₀, μ₀: tightened uncertainties
|
||||||
|
G: unchanged value, same 3.9× expanded uncertainty (still the
|
||||||
|
problem child of CODATA — 2026 adjustment may revise)
|
||||||
|
```
|
||||||
|
|
||||||
|
### Muon g-2 saga concluded (June 3, 2025)
|
||||||
|
|
||||||
|
```
|
||||||
|
Fermilab released the experiment's third and final result:
|
||||||
|
a_μ = 0.001165920705(114)(91) [127 ppb precision]
|
||||||
|
|
||||||
|
Awarded the 2026 Breakthrough Prize in Fundamental Physics.
|
||||||
|
Comparison with Standard Model now hinges on hadronic vacuum
|
||||||
|
polarization calculations (lattice QCD vs. data-driven
|
||||||
|
e⁺e⁻ → hadrons) — the discrepancy moved from "experiment
|
||||||
|
vs. theory" to "theory vs. theory".
|
||||||
|
```
|
||||||
|
|
||||||
|
### Hubble tension hardened (now > 6σ)
|
||||||
|
|
||||||
|
```
|
||||||
|
By the September 2025 Tensions in Cosmology meeting (Corfu),
|
||||||
|
the H₀ discrepancy passed 6σ — well above any reasonable
|
||||||
|
"statistical fluke" threshold. JWST corroborated the SH0ES
|
||||||
|
Cepheid calibration, eliminating the most plausible
|
||||||
|
late-universe systematic. ΛCDM is showing real strain.
|
||||||
|
```
|
||||||
|
|
||||||
|
### DESI evidence for evolving dark energy
|
||||||
|
|
||||||
|
```
|
||||||
|
DESI DR1 (April 2024): first ~2.5–3.9σ hints
|
||||||
|
DESI DR2 (March 2025): strengthened to up to 4.2σ
|
||||||
|
(depending on SN dataset)
|
||||||
|
|
||||||
|
Combined with Planck CMB and Pantheon+/Union3/DES-Y5
|
||||||
|
supernovae, the data prefer a w₀wₐCDM model over a pure
|
||||||
|
cosmological constant. This is contested in the
|
||||||
|
Bayesian-evidence literature but is the most serious
|
||||||
|
challenge to ΛCDM in 25 years.
|
||||||
|
```
|
||||||
|
|
||||||
|
### New largest known prime (October 12, 2024)
|
||||||
|
|
||||||
|
```
|
||||||
|
M₁₃₆₂₇₉₈₄₁ = 2¹³⁶²⁷⁹⁸⁴¹ − 1
|
||||||
|
├── 41,024,320 decimal digits
|
||||||
|
├── 52nd Mersenne prime
|
||||||
|
├── 16 million more digits than the previous record
|
||||||
|
├── First Mersenne prime found on GPUs
|
||||||
|
└── Discoverer: Luke Durant (GIMPS), San Jose, CA
|
||||||
|
|
||||||
|
The previous record (M₈₂₅₈₉₉₃₃) had stood since December 2018.
|
||||||
|
A correspondingly new largest perfect number now exists,
|
||||||
|
with > 82 million digits.
|
||||||
|
```
|
||||||
|
|
||||||
|
### What's coming
|
||||||
|
|
||||||
|
```
|
||||||
|
├── CODATA 2026 adjustment (closing 31 December 2026)
|
||||||
|
│ — expected to incorporate new G measurements
|
||||||
|
├── DESI continued observations (DR3 anticipated)
|
||||||
|
├── J-PARC muon g-2/EDM experiment (data-taking from 2030)
|
||||||
|
├── Vera C. Rubin Observatory (LSST) full operations
|
||||||
|
├── Euclid mission cosmological results
|
||||||
|
└── Continued JWST cross-checks of the distance ladder
|
||||||
|
```
|
||||||
|
|
||||||
|
---
|
||||||
|
|
||||||
## Final Thought
|
## Final Thought
|
||||||
|
|
||||||
```
|
```
|
||||||
@@ -924,6 +1148,15 @@ Star map:
|
|||||||
║ ║
|
║ ║
|
||||||
║ And so would anyone else. ║
|
║ And so would anyone else. ║
|
||||||
║ ║
|
║ ║
|
||||||
|
║ ───────────────────────────────────── ║
|
||||||
|
║ ║
|
||||||
|
║ And yet — every few years, our reading sharpens, ║
|
||||||
|
║ our errors shrink, and a value we thought was a "constant" ║
|
||||||
|
║ reveals itself as a parameter that was always evolving, ║
|
||||||
|
║ or always uncertain in some deeper way we hadn't yet seen. ║
|
||||||
|
║ ║
|
||||||
|
║ The cosmos writes in pencil, not pen. ║
|
||||||
|
║ ║
|
||||||
╚═══════════════════════════════════════════════════════════════════╝
|
╚═══════════════════════════════════════════════════════════════════╝
|
||||||
```
|
```
|
||||||
|
|
||||||
@@ -931,9 +1164,12 @@ Star map:
|
|||||||
|
|
||||||
## References & Further Reading
|
## References & Further Reading
|
||||||
|
|
||||||
|
- **CODATA 2022**: P. Mohr et al., *Rev. Mod. Phys.* **97**, 025002 (2025) — also at physics.nist.gov/constants
|
||||||
- **Mathematical Constants**: "Mathematical Constants" by Steven Finch (Cambridge)
|
- **Mathematical Constants**: "Mathematical Constants" by Steven Finch (Cambridge)
|
||||||
- **Physical Constants**: NIST CODATA values (physics.nist.gov)
|
- **Cosmological Parameters**: Planck Collaboration results; DESI DR2 (2025)
|
||||||
- **Cosmological Parameters**: Planck Collaboration results
|
- **Hubble Tension**: Di Valentino, Said & Saridakis, "Tensions in Cosmology 2025", *Nat. Astron.* **10**, 180 (2026)
|
||||||
|
- **Muon g-2**: Muon g-2 Collaboration, arXiv:2506.03069 (2025)
|
||||||
|
- **Largest Known Prime**: GIMPS, M₁₃₆₂₇₉₈₄₁ announcement (Oct 21, 2024)
|
||||||
- **Fine-Tuning**: "Just Six Numbers" by Martin Rees
|
- **Fine-Tuning**: "Just Six Numbers" by Martin Rees
|
||||||
- **Information Theory**: "Elements of Information Theory" by Cover & Thomas
|
- **Information Theory**: "Elements of Information Theory" by Cover & Thomas
|
||||||
- **Alien Communication**: "Communication with Extraterrestrial Intelligence" edited by Douglas Vakoch
|
- **Alien Communication**: "Communication with Extraterrestrial Intelligence" edited by Douglas Vakoch
|
||||||
@@ -941,6 +1177,7 @@ Star map:
|
|||||||
|
|
||||||
---
|
---
|
||||||
|
|
||||||
*Document Version: 1.0*
|
*Document Version: 2.0*
|
||||||
*Last Updated: December 2024*
|
*Last Updated: April 2026*
|
||||||
*Purpose: Universal constants reference for xenoarchaeological analysis*
|
*Previous Version: 1.0 (December 2024)*
|
||||||
|
*Purpose: Universal constants reference for xenoarchaeological analysis*
|
||||||
Reference in New Issue
Block a user