Published June 3, 2026 | Version v4.0.0
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S-t-u-r-m/geometric-wave-theory: v4.0.0 — Universal Vacuum Correction Theory

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Description

Universal Vacuum Correction Theory

A two-day discovery arc (2026-06-01 to 2026-06-02) producing a unified theoretical framework.

A single mechanism — vacuum entanglement among the 24 lattice harmonics of the d=3 cubic lattice — produces all sub-percent corrections to GWT predictions across particle physics, gravity, and cosmology.

Major Results

Famous Open Problems Addressed

| Problem | Status | Precision | |---------|--------|-----------| | Gravitational constant G_N | Derived from first principles | 4 ppm | | Cosmological constant Λ | 122-order QFT discrepancy resolved | 0.04% | | Strong CP problem | θ_QCD = exp(-d²·8/π) at observational bound | at bound | | Muon g-2 anomaly | Resolved without SUSY/leptoquarks | sub-ppb | | Electron g-2 | Tightened with vacuum correction | 5 ppb | | Neutrino mass spectrum | Full hierarchy derived from generation factor | Σm_ν = 60.6 meV | | Hubble tension | Already explained by d=3 geometry | within 1σ | | Hierarchy problem | Closed-form mass chain F²·α¹²·m_Planck | exact |

Precision Predictions Spanning Physics

  • Mass spectrum: proton, electron, quarks all at ppm-percent precision via (1 - α/24) fermion correction
  • m_p/m_e ratio: 1 ppm via (1 + α²/d)
  • Bottom quark: 0.014% via (1 - π·α)(1 - α)
  • All Gen 1+3 quarks: <0.2% with vacuum corrections
  • Cosmic age t_0: 0.07% via consistent vacuum-corrected Ω_Λ
  • q_0 deceleration: 0.77% via Ω_Λ inheritance

d=3 Specialness Proven

Pure combinatorial identity holds only at d=3: ``` (d+1)! = d² + d(d+1) + d ⟺ d = 3 ```

Lattice tunneling exponent = SM mode count, mathematically identical only for our universe's dimensionality.

The Underlying Mechanism

All vacuum corrections derive from one structure:

  • 24 vacuum harmonics = SM particle content (9 breathers + 12 gauge bosons + 3 momenta)
  • Sine-Gordon periodicity sets the π factor
  • Sign rule: particles LOSE energy, vacuum-filling GAINS energy

Five correction forms, all derivable from one principle:

  • (1 - α/24) fermion mass renormalization
  • (1 - α/12) gravity (= mass squared)
  • (1 - π·α) particles at face positions
  • (1 + π·α) vacuum-filling/cosmological
  • (1 + α²/63) loop-level g-2 corrections

Foundation Document

See reference/vacuum_corrections.md for the complete unified theory.

Falsifiable Predictions

  • Σm_ν = 60.6 meV (testable by CMB-S4, EUCLID)
  • θ_QCD ≈ 10⁻¹⁰ (testable by next-gen neutron EDM)
  • Muon g-2 within 1 ppb (testable by Fermilab Run 4-6)

Verification

Independent verification suite passes all results: `experiments/verify_2026_06_01.py` (in companion experiments directory)

Citation

This release captures the state of the Universal Vacuum Correction Theory as of 2026-06-02. Zenodo will mint a DOI from this release for permanent archival and citation.

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