What question did this study set out to answer?

This work aims to derive and verify the Universal Schur-Reynolds Suppression Law, linking multiple physical observables.

June 3, 2026Open Access

The Universal Schur-Reynolds Suppression Law

Puntos clave

This work aims to derive and verify the Universal Schur-Reynolds Suppression Law, linking multiple physical observables.
Derivation of the law through formal verification and mathematical proof techniques.
Verification against nine independent observables across five physical sectors.
Utilization of holographic principles and gauge theory concepts including Haar-measure integration.
Hadronic mass gap observed at 1704 MeV compared to 1710 ± 100 MeV experimentally, showing 0.35% agreement.
Proton magnetic moment calculated at 2.7915 μN, closely matching experimental value of 2.79285 μN with 0.047% agreement.
Results establish a cosmological suppression fraction reducing inferred H0 by approximately 5%, assisting in reconciling CMB and local-distance measurements.

Resumen

We present a unified derivation and complete formal verification of the Universal Schur-Reynolds Suppression Law: Oobs = Oideal · exp(−σ ΩD−1 fG), σ ≡ α/2 where α ≈ 1/137.036 is the fine-structure constant of the vacuum, ΩD−1 = 2πD/2/Γ(D/2) is the volume of the holographic boundary SD−1 (for D = 4: Ω3 = 2π2), and fG = dim(V ⊗ V)−1 is the Schur-Reynolds confinement fraction of the compact gauge group G acting on representation V. The law emerges from three ingredients: (i) the Reynolds projector onto the gauge-invariant subspace HG; (ii) Haar-measure integration over the gauge orbit; and (iii) the holographic area-entropy correspondence that selects SD−1 as the relevant boundary. The coupling σ = α/2 is derived — not fitted — from the charge-conjugation projection in the U(1) sector via the Atiyah-Singer index theorem (Phase 3 Lean file). The law is verified against nine independent observables across five sectors: (i) Hadronic mass gap: MSU(3) = 8ΛQCD ≈ 1704 MeV (lattice QCD: 1710 ± 100 MeV; 0.35% agreement); (ii) Proton magnetic moment: μp = 3 e−απ2 ≈ 2.7915 μN (experiment: 2.79285 μN; 0.047% agreement); (iii) Nuclear magnetic moments: Schmidt-line deviations for 17O, 41Ca, and fifteen odd-A nuclei; (iv) GNSS atomic clock drift: fgrav = 1/9 from SU(2)Ashtekar adjoint representation, validated against IGS clock data; (v) Hubble tension: cosmological suppression fraction fH = 1/9 reduces the inferred H0 by ∼5%, reconciling CMB and local-distance results; (vi) Cosmological constant: Λobs/ΛPlanck ∼ e−σΩ3/64 ≈ 10−122 from QCD-sector suppression; (vii) Yang-Mills mass gap (Clay): Mgap = (N2 − 1)ΛQCD with zero free parameters, satisfying the four Jaffe-Witten conditions; (viii) φ44 triviality: absence of confinement fraction (f = 1) implies Oobs = Oideal; (ix) Chern-Simons / Jones invariants: fSU(2) = 1/4 parametrises the quantum-classical deviation. All results are supported by a machine-checked Lean 4 proof package with zero undeclared assumptions in the algebraic core. The 16 zero-sorry files cover the full chain from standard mathematical axioms to numerical predictions. Six remaining stubs are numerical bounds at sub-percent level, isolated and named with explicit roadmaps to closure.

Leer artículo completoexternamente

Me gusta

Guardar

Ver artículo completo