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).
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).
dμ(ω⁻¹) = dμ(ω) on (ℝ⁺, ×) — everything else is a consequence.
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.
The identification Δ = 2s translates celestial unitarity into Re(s) = 1/2. Five independent proofs from Haar self-duality, spectral theory, and celestial holography.
Constructive quantum Yang–Mills with proved mass gap M = 2N/(k+N)·ΛQCD. Confinement proved via Haar orthogonality. No regulator required.
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.
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.
The Fixed-Point Paradox proves Counterfactual Freedom incoherent via Lawvere's theorem. Libertarian free will and hard determinism simultaneously eliminated.
Core theorems of the Golden Physics Project are being mechanically verified in Lean 4 + Mathlib. Machine-checked results with zero sorries include:
shadow_equals_time_reversal — shadow = CPT proved cleanl2_constraint_implies_rh — L² forces Re(s) = ½three_generations — exactly 3 fermion generationscritical_line_is_fixed_locus — proved cleantemperedness_iff_critical_line — proved clean"Every theorem that compiles with zero sorries has been checked by a machine that does not accept hand-waving."
Live Proof Dashboard →979-page monograph. Complete framework updated with three-step Haar→shadow derivation, topological 4π proof, shadow bundle construction.
Shadow = T proved from first principles. Full Yang–Mills twistor datum. Penrose's fifty-year obstruction resolved in 14 pages.
Constructive quantum Yang–Mills theory with proved mass gap for all compact simple gauge groups.
Five independent proofs that all non-trivial zeta zeros satisfy Re(s) = 1/2.
2500 Years of Debate Ends Here
Through rigorous formal proofs, Daniel Toupin demonstrates that libertarian free will is logically impossible — even for gods — and that hard determinism collapses into compatibilism. What emerges is complete resolution: You are caused. You are free. Both are true.
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