diff --git a/README.md b/README.md index 1912dfa..4bc5e2e 100644 --- a/README.md +++ b/README.md @@ -2,6 +2,8 @@ > *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.* +> **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. + --- ## Table of Contents @@ -17,6 +19,7 @@ 9. [Information-Theoretic Constants](#9-information-theoretic-constants) 10. [The Weird and Profound](#10-the-weird-and-profound) 11. [The Alien Contact Number Set](#11-the-alien-contact-number-set) +12. [What's New Since v1.0](#12-whats-new-since-v10) --- @@ -58,20 +61,23 @@ A circle on Earth has the same π as a circle in Andromeda. The **purest physical truths** — no unit system required, identical value everywhere in the universe. These are the settings on reality's control panel. +> **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. + | Constant | Symbol | Value | What It Determines | |----------|--------|-------|-------------------| -| **Fine Structure Constant** | α | 0.0072973525693(11) ≈ 1/137.036 | Electromagnetic interaction strength. Governs ALL chemistry. | -| **Proton-Electron Mass Ratio** | μ | 1836.15267343(11) | Atomic stability. Why chemistry works at all. | -| **Strong Coupling Constant** | α_s | ~0.1181 (at Z boson mass) | Nuclear force strength. Why atomic nuclei exist. | +| **Fine Structure Constant** | α | 0.0072973525643(11) ≈ 1/137.035999177(21) — *CODATA 2022* | Electromagnetic interaction strength. Governs ALL chemistry. | +| **Proton-Electron Mass Ratio** | μ | 1836.152673426(32) — *CODATA 2022* | Atomic stability. Why chemistry works at all. | +| **Strong Coupling Constant** | α_s | 0.1180(9) (at Z boson mass, PDG 2024) | Nuclear force strength. Why atomic nuclei exist. | | **Gravitational Coupling** | α_G | ~5.9 × 10⁻³⁹ | Gravity's relative strength. Why gravity is so weak. | | **Weak Mixing Angle** | sin²θ_W | ~0.22290 | Electroweak unification parameter. | -| **Electron g-factor Anomaly** | a_e | 0.00115965218128(18) | QED's most precise prediction. Theory matches experiment to 12 digits. | +| **Electron g-factor Anomaly** | a_e | 0.00115965218059(13) | QED's most precise prediction. Theory matches experiment to 12 digits. | +| **Muon g-factor Anomaly** | a_μ | 0.001165920705(114)(91) — *Fermilab final, 2025* | New world record precision (127 ppb). Sensitive to new physics. | | **Cabibbo Angle** | θ_C | ~13.1° | Quark mixing. Why strange particles decay as they do. | ### The Fine Structure Constant: Deep Dive ``` -α = e²/(4πε₀ℏc) ≈ 1/137.035999... +α = e²/(4πε₀ℏc) ≈ 1/137.035999177... [CODATA 2022] This single dimensionless number determines: @@ -131,26 +137,60 @@ Any advanced civilization will have discovered this number and likely wondered the same things. ``` +### The Muon g-2 Saga (closed in 2025) + +``` +On June 3, 2025, the Fermilab Muon g-2 collaboration released +its final, third-and-best measurement of the muon's anomalous +magnetic moment, ending an effort that began at CERN in the 1970s: + + a_μ = 0.001165920705 ± 0.000000000114(stat) ± 0.000000000091(syst) + +Precision: 127 parts per billion — a fourfold improvement +over the previous-generation BNL E821 result. + +The Standard Model prediction has been a moving target: +├── 2020 Theory Initiative whitepaper (data-driven): +│ a_μ = (116591810 ± 43) × 10⁻¹¹ → ~5σ tension w/ experiment +├── Lattice QCD calculations (BMW et al.): +│ agree better with experiment (smaller tension) +└── 2025 Theory Initiative update: + a_μ = (116592033 ± 62) × 10⁻¹¹ + statistically incompatible with the 2020 prediction (~3σ) + +The takeaway: the experimental answer is now locked in. +Whether this constitutes a hint of physics beyond the +Standard Model has shifted into a question about how to +calculate hadronic vacuum polarization — not about whether +the muon really wobbles a little faster than QED alone says. + +This ranks among the highest-precision tests of physics +ever performed, and the experiment received the 2026 +Breakthrough Prize in Fundamental Physics. +``` + --- ## 3. Fundamental Physical Constants These depend on unit systems, but their **ratios** are universal. Any civilization measuring the universe finds these. +> Values reflect CODATA 2022 (published 2024–2025). Constants marked *exact* are defined by the SI as of the 2019 redefinition. + | Constant | Symbol | SI Value | Role | |----------|--------|----------|------| -| **Speed of Light** | c | 299,792,458 m/s (exact) | Maximum velocity. Spacetime structure. Causality. | -| **Planck's Constant** | h | 6.62607015 × 10⁻³⁴ J·s (exact) | Quantum of action. Granularity of nature. | -| **Reduced Planck** | ℏ | 1.054571817 × 10⁻³⁴ J·s | h/(2π). More natural in many equations. | +| **Speed of Light** | c | 299,792,458 m/s (*exact*) | Maximum velocity. Spacetime structure. Causality. | +| **Planck's Constant** | h | 6.62607015 × 10⁻³⁴ J·s (*exact*) | Quantum of action. Granularity of nature. | +| **Reduced Planck** | ℏ | 1.054571817... × 10⁻³⁴ J·s | h/(2π). More natural in many equations. | | **Gravitational Constant** | G | 6.67430(15) × 10⁻¹¹ m³/(kg·s²) | Gravity's strength. Least precisely known. | -| **Boltzmann Constant** | k_B | 1.380649 × 10⁻²³ J/K (exact) | Temperature-energy bridge. Statistical mechanics. | -| **Elementary Charge** | e | 1.602176634 × 10⁻¹⁹ C (exact) | Quantum of electric charge. | -| **Electron Mass** | m_e | 9.1093837015(28) × 10⁻³¹ kg | Lightest charged particle. Sets atomic scales. | -| **Proton Mass** | m_p | 1.67262192369(51) × 10⁻²⁷ kg | Lightest stable baryon. Nuclear physics scale. | -| **Neutron Mass** | m_n | 1.67492749804(95) × 10⁻²⁷ kg | Slightly heavier than proton. Enables nuclear stability. | -| **Avogadro's Number** | N_A | 6.02214076 × 10²³ /mol (exact) | Atoms per mole. Bridge macro-micro. | -| **Vacuum Permittivity** | ε₀ | 8.8541878128 × 10⁻¹² F/m | Electric field in vacuum. | -| **Vacuum Permeability** | μ₀ | 1.25663706212 × 10⁻⁶ H/m | Magnetic field in vacuum. | +| **Boltzmann Constant** | k_B | 1.380649 × 10⁻²³ J/K (*exact*) | Temperature-energy bridge. Statistical mechanics. | +| **Elementary Charge** | e | 1.602176634 × 10⁻¹⁹ C (*exact*) | Quantum of electric charge. | +| **Electron Mass** | m_e | 9.1093837139(28) × 10⁻³¹ kg — *CODATA 2022* | Lightest charged particle. Sets atomic scales. | +| **Proton Mass** | m_p | 1.67262192595(52) × 10⁻²⁷ kg — *CODATA 2022* | Lightest stable baryon. Nuclear physics scale. | +| **Neutron Mass** | m_n | 1.67492750056(85) × 10⁻²⁷ kg — *CODATA 2022* | Slightly heavier than proton. Enables nuclear stability. | +| **Avogadro's Number** | N_A | 6.02214076 × 10²³ /mol (*exact*) | Atoms per mole. Bridge macro-micro. | +| **Vacuum Permittivity** | ε₀ | 8.8541878188(14) × 10⁻¹² F/m | Electric field in vacuum. | +| **Vacuum Permeability** | μ₀ | 1.25663706127(20) × 10⁻⁶ H/m | Magnetic field in vacuum. | ### Relationships Between Constants @@ -171,6 +211,24 @@ These relationships are THEOREMS, not observations. Any physics leads to these connections. ``` +### Note on G + +``` +Of all the fundamental constants, the gravitational constant +G remains the most stubbornly imprecise. CODATA's recommended +value still rests on data sets with significant inconsistencies, +which is why a 3.9 expansion factor has been applied to the +uncertainty since 2018, retained again in 2022. + +The 2026 CODATA adjustment — closing on 31 December 2026 — +is preparing to incorporate new G measurements presented at +the September 2025 task-group meeting in Warsaw. + +The other constants have been tightened to parts-per-billion +or better. G languishes at parts-per-ten-thousand. +This is a known anomaly, not a settled number. +``` + --- ## 4. Planck Units: Nature's Native System @@ -245,6 +303,14 @@ Twin Primes (differ by 2): (3,5), (5,7), (11,13), (17,19), (29,31), (41,43)... Infinite? Still unproven! +Largest known prime (as of 2026): +M₁₃₆₂₇₉₈₄₁ = 2¹³⁶²⁷⁹⁸⁴¹ − 1 +├── 41,024,320 decimal digits +├── 52nd known Mersenne prime +├── Discovered Oct 12, 2024 by Luke Durant (GIMPS) +├── First Mersenne prime found on GPUs (not CPUs) +└── Ends a 28-year reign of CPU-found records + Any civilization doing arithmetic discovers primes. ``` @@ -299,7 +365,10 @@ Definition: Equal to sum of proper divisors Connection to Mersenne Primes: ├── If 2ⁿ-1 is prime, then 2ⁿ⁻¹(2ⁿ-1) is perfect ├── All known even perfect numbers have this form -├── Odd perfect numbers: NONE FOUND (existence unknown!) +├── Each new Mersenne prime begets a new perfect number +├── 52 even perfect numbers known (as of 2026) +├── Largest: 2¹³⁶²⁷⁹⁸⁴⁰ × (2¹³⁶²⁷⁹⁸⁴¹ − 1), > 82 million digits +└── Odd perfect numbers: NONE FOUND (existence still unknown!) Rare, beautiful, discoverable by any number theorist. ``` @@ -530,12 +599,15 @@ It's provable from quantum field theory. The parameters that define our universe's structure and evolution. +> **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. + | Constant | Symbol | Value | Meaning | |----------|--------|-------|---------| -| **Hubble Constant** | H₀ | ~70 km/s/Mpc | Universe expansion rate | -| **Age of Universe** | t₀ | 13.787 ± 0.020 billion years | Time since Big Bang | +| **Hubble Constant** (early-universe / CMB) | H₀ | 67.4 ± 0.5 km/s/Mpc | Inferred from Planck CMB + ΛCDM | +| **Hubble Constant** (local / SH0ES) | H₀ | ~73.0 ± 1.0 km/s/Mpc | Cepheid-calibrated SN Ia distance ladder | +| **Age of Universe** | t₀ | 13.787 ± 0.020 billion years | Time since Big Bang (under ΛCDM) | | **CMB Temperature** | T_CMB | 2.72548 ± 0.00057 K | Cosmic background radiation | -| **Cosmological Constant** | Λ | ~10⁻⁵² m⁻² | Dark energy density | +| **Cosmological Constant** | Λ | ~10⁻⁵² m⁻² | Dark energy density (now contested) | | **Critical Density** | ρ_c | ~9.47 × 10⁻²⁷ kg/m³ | Flat universe density | | **Matter Density** | Ω_m | ~0.315 | Matter fraction of critical | | **Dark Energy Density** | Ω_Λ | ~0.685 | Dark energy fraction | @@ -544,14 +616,74 @@ The parameters that define our universe's structure and evolution. | **Curvature Parameter** | Ω_k | ~0 (very close) | Universe flatness | | **Baryon/Photon Ratio** | η | ~6.1 × 10⁻¹⁰ | Matter-antimatter asymmetry | +### The Hubble Tension (Now > 6σ) + +``` +Two independent, mature, well-controlled methods give +incompatible answers for the universe's expansion rate: + +EARLY UNIVERSE (Planck CMB + ΛCDM extrapolation): + H₀ = 67.4 ± 0.5 km/s/Mpc + Confirmed by: WMAP+ACT (67.6 ± 1.1), DESI+BBN (68.5 ± 0.6) + +LATE UNIVERSE (SH0ES, distance ladder): + H₀ = 73.04 ± 1.04 km/s/Mpc + JWST has now corroborated the Cepheid calibration, + ruling out crowding/dust as a systematic. + +Tension significance: +├── 2019: ~4σ +├── 2022: ~5σ (SH0ES with 300+ SNe Ia) +├── 2025: > 6σ (Tensions in Cosmology meeting, Corfu) +└── No single systematic can plausibly close the gap. + +What this means: +├── ΛCDM may be incomplete or wrong +├── New physics in the early universe (early dark energy?) +├── New physics in the late universe (modified gravity?) +├── Or — most uncomfortably — both +└── The European Commission has awarded €12M (RedH0T project) + specifically to chase this down. + +This is the most serious unresolved problem in cosmology +since dark energy itself was discovered in 1998. +``` + +### Dark Energy May Not Be a Constant + +``` +DESI (Dark Energy Spectroscopic Instrument) Data Releases: +├── DR1 (April 2024): first hints of evolving dark energy +└── DR2 (2025): evidence strengthened to up to 4.2σ + (depending on SN dataset combination) + +The signal: +├── Combine DESI BAO + Planck CMB + SN Ia (Pantheon+/Union3/DES-Y5) +├── Fit a w₀wₐCDM model (time-evolving equation of state) +├── Late-universe data prefers w > -1 (quintessence-like) +├── Early-universe data prefers w < -1 (phantom-like) +└── A pure cosmological constant (w = -1 always) is disfavored. + +Caveats (as of late 2025): +├── Bayesian model-comparison evidence is less decisive +│ than the frequentist ~4σ headline suggests +├── Different SN catalogues yield different significance +├── Independent analyses (TDCOSMO 2025 lensing) reinforce +│ the underlying tensions but not always the w₀wₐ fit +└── The cosmological constant is bruised, not buried. + +If real, this is the biggest revision to fundamental cosmology +since the 1998 discovery of acceleration itself. +``` + ### The Cosmic Inventory ``` -Universe Composition (today): +Universe Composition (today, ΛCDM baseline): -Dark Energy: 68.5% ████████████████████████████░░░░ -Dark Matter: 26.6% ██████████░░░░░░░░░░░░░░░░░░░░░░ -Ordinary Matter: 4.9% ██░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░ +Dark Energy: 68.5% ■■■■■■■■■■■■■■■■■■■■■■■■■■■■□□□□ +Dark Matter: 26.6% ■■■■■■■■■■□□□□□□□□□□□□□□□□□□□□□□ +Ordinary Matter: 4.9% ■■□□□□□□□□□□□□□□□□□□□□□□□□□□□□□□ Of Ordinary Matter: ├── Intergalactic gas: ~50% @@ -793,6 +925,11 @@ Explanations: ├── Multiverse (all values exist, we're in viable one) ├── Deeper theory (values derivable from fundamental principles) ├── 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): -├── α = 1/137.035999... (fine structure) -├── μ = 1836.15267... (proton/electron mass) -└── α_s ≈ 0.1181 (strong coupling) +├── α = 1/137.035999177... (fine structure, CODATA 2022) +├── μ = 1836.152673426... (proton/electron mass) +└── α_s ≈ 0.1180 (strong coupling) SPECTROSCOPIC (stellar signatures): ├── 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 ``` @@ -924,6 +1148,15 @@ Star map: ║ ║ ║ 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 +- **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) -- **Physical Constants**: NIST CODATA values (physics.nist.gov) -- **Cosmological Parameters**: Planck Collaboration results +- **Cosmological Parameters**: Planck Collaboration results; DESI DR2 (2025) +- **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 - **Information Theory**: "Elements of Information Theory" by Cover & Thomas - **Alien Communication**: "Communication with Extraterrestrial Intelligence" edited by Douglas Vakoch @@ -941,6 +1177,7 @@ Star map: --- -*Document Version: 1.0* -*Last Updated: December 2024* -*Purpose: Universal constants reference for xenoarchaeological analysis* +*Document Version: 2.0* +*Last Updated: April 2026* +*Previous Version: 1.0 (December 2024)* +*Purpose: Universal constants reference for xenoarchaeological analysis* \ No newline at end of file