Brian Martell

PUH Theorem 120 (Restated) — Koide Q = 2/3 Is Parameter-Free: the √2 Is Forced by Z₃ Mode Counting, and the Phase (6π+2)/9 Predicts m_τ = 1776.989 MeV

Photonic Universe Hypothesis (PUH) — Restatement with a Prediction. WHY THIS EXISTS. Theorem 120 is cited across this archive as the origin of its strongest empirical claim — that the Koide ratio Q = 2/3 follows from Z₃ symmetry rather than being a numerical accident. IT HAS EXIS...

PUH Theorem 120 (Restated) — Koide Q = 2/3 Is Parameter-Free: the √2 Is Forced by Z₃ Mode Counting, and the Phase (6π+2)/9 Predicts m_τ = 1776.989 MeV

Photonic Universe Hypothesis (PUH) — Restatement with a Prediction. WHY THIS EXISTS. Theorem 120 is cited across this archive as the origin of its strongest empirical claim — that the Koide ratio Q = 2/3 follows from Z₃ symmetry rather than being a numerical accident. IT HAS EXIS...

PUH Theorem 358 (Λ Is the Unsettled Fraction) — The Two-Boundary Structure Caps the Standing Entropy at Half a Nat per Cell, Which T165's ln(240) Exceeds by 2ln240; the Bound Is Satisfied Because Λ/ρ_P = 1.3×10⁻¹²³ Measures How Little of the Lattice Is Still Crystallising; and the Historical Ledger Is a FLOW, Not a Total, Because T178 Locks Creation to Core Drainage

Photonic Universe Hypothesis (PUH) — Constraint and Reconciliation. THE OCCASION. Bekenstein's argument requires that an object absorbing entropy must carry entropy, or the second law fails. T272 answered this for the Planck Shell by calling it "a mirror, not a memory" — it refle...

PUH Theorem 358 (Λ Is the Unsettled Fraction) — The Two-Boundary Structure Caps the Standing Entropy at Half a Nat per Cell, Which T165's ln(240) Exceeds by 2ln240; the Bound Is Satisfied Because Λ/ρ_P = 1.3×10⁻¹²³ Measures How Little of the Lattice Is Still Crystallising; and the Historical Ledger Is a FLOW, Not a Total, Because T178 Locks Creation to Core Drainage

Photonic Universe Hypothesis (PUH) — Constraint and Reconciliation. THE OCCASION. Bekenstein's argument requires that an object absorbing entropy must carry entropy, or the second law fails. T272 answered this for the Planck Shell by calling it "a mirror, not a memory" — it refle...

PUH Theorem 140 (Restated, with Three Numerical Corrections) — The Complete Amalgamation Theorem: Every Planck Core Shares One Rebound Origin and Is Therefore N-Partite Entangled; the Core Count Is 10⁶⁰–10⁶¹ and Not 10⁸⁰, the Gravity-Train Period Is 252 Gyr and Not 300, and the Entanglement Force Cannot Drive the Return by Its Magnitude

Photonic Universe Hypothesis (PUH) — Restatement with Corrections. WHY THIS EXISTS. Theorem 140 has been cited across this archive since March 2026 — for amalgamation, core permanence, the seeding of planetary systems, and the entanglement force between cores — while existing ONL...