Cardinal, Ontario, Canada

Golden Physics Project

Quantum gravity, the Standard Model, and the Riemann Hypothesis derived from self-dual Haar measure on (ℝ⁺, ×) via three Cayley–Dickson doublings to Gr(2,4).

Research Papers Research Log
Δ = 2s The Central Identification

From One Algebraic Fact

dμ(ω⁻¹) = dμ(ω) on (ℝ⁺, ×) — everything else is a consequence.

ℝ⁺ → S² → M⁴ → Gr(2,4) Three Cayley–Dickson doublings · 1→2→4→8 real dimensions
Shadow: Δ ↔ 2−Δ ≡ Time reversal T Proved via Haar involution + antiunitary character + Wigner rotation
Δ = 2s → Re(s) = ½ (Riemann critical line) Unitarity locus of celestial CFT = critical line of ζ(s)

Research Areas

Celestial Holography

4D quantum gravity in flat spacetime dual to 2D CFT on the celestial sphere. Shadow symmetry = T, BMS₄ Ward identities, c = 0 proved by five independent methods.

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Riemann Hypothesis

The identification Δ = 2s translates celestial unitarity into Re(s) = 1/2. Five independent proofs from Haar self-duality, spectral theory, and celestial holography.

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Yang–Mills Mass Gap

Constructive quantum Yang–Mills with proved mass gap M = 2N/(k+N)·ΛQCD. Confinement proved via Haar orthogonality. No regulator required.

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Twistor Theory

Penrose's googly problem resolved: shadow = T, so SD and ASD sectors are T-conjugates. Full Einstein gravity from one Ward construction and its T-image.

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Φ

Standard Model

SU(3)×SU(2)×U(1), three generations, sin²θW = 3/8 — all derived from the division algebra tower ℝ→ℂ→ℍ→𝕆. Hurwitz's theorem is the stopping condition.

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Philosophy of Agency

The Fixed-Point Paradox proves Counterfactual Freedom incoherent via Lawvere's theorem. Libertarian free will and hard determinism simultaneously eliminated.

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Latest Papers

All Papers ↗
New · May 2026

On the Nature of Nature — v19

979-page monograph. Complete framework updated with three-step Haar→shadow derivation, topological 4π proof, shadow bundle construction.

New · May 2026

Twistor Theory & the Googly Problem

Shadow = T proved from first principles. Full Yang–Mills twistor datum. Penrose's fifty-year obstruction resolved in 14 pages.

2026

Yang–Mills Mass Gap

Constructive quantum Yang–Mills theory with proved mass gap for all compact simple gauge groups.

2025

The Haar–Measure Constraint & RH

Five independent proofs that all non-trivial zeta zeros satisfy Re(s) = 1/2.

Contact

Correspondence welcome.

dtoupin@goldenphysics.org ORCID ↗