The Unified Master Equation: A Ward–Balanced Δ–Σ Vacuum with a Unique RG-Stable Fixed Point at α = 1.5.

Le résumé fourni par la source

We present the Unified Master Equation (UME), a parameter-free framework in which the vacuum ratio α = Δ/Σ is not assumed but derived as the unique Ward-balanced, RG-stable fixed point. Only two opposite vacuum fields, Δ and Σ, are assumed, with no imposed symmetry breaking or predefined asymmetry; the ratio α emerges dynamically. A supersymmetric Δ–Σ model shows explicitly that α = 3/2 arises at one loop from standard quantum dynamics. From this single derived constant follow, ab initio, quantum gravity as an emergent infrared geometry, fermion mass hierarchies, the fine-structure constant, the cosmological expansion history, the universal light cone, and the thermodynamic arrow of time.The Ward-balanced Δ–Σ vacuum with fixed asymmetry α = 1.5 reproduces the SU(3)×SU(2)×U(1) structure, yields the observed dark-matter–dark-energy partition, predicts g−2 and cosmological scaling relations, reproduces α_EM via RG flow from the unique vacuum asymmetry α = 1.5, without free parameters. At the RG-stable point, Ward-balanced Δ–Σ dynamics enforce Zₜ = Zₓ and derive the invariant light cone v = c, linking Lorentz invariance, SR and the weak-field GR limit without free inputs. The same structure yields a unidirectional information flow (dI/dt > 0), establishing the arrow of time and the block-universe geometry.Appendices P.1–P.2 show that both Special and General Relativity emerge necessarily from α = 1.5. Appendix Q.1 demonstrates that Schrödinger dynamics, the Heisenberg algebra, spin-1/2, the Born rule and objective collapse arise from the first-order reduction of second-order pre-geometric Δ–Σ dynamics. The Unified Master Equation (UME) predicts a third cosmological outcome distinct from both heat death and Big Crunch. At the RG-stable fixed point α = Δ/Σ = 1.5, the Δ–Σ vacuum self-balances expansion and contraction, yielding a finite asymptotic Hubble rate, bounded entropy, and a persistent arrow of time. Ward balance further requires a non-compact, boundary-less spatial topology, implying an infinite, flat, open Universe. These predictionsare testable through late-time expansion measurements H(z), the deceleration parameter q₀, the ISW effect, and correlated Δ-sector signatures at the LHC. At the Ward-balanced renormalization-group fixed point α = 3/2, UME predicts an infrared-attractive scaling exponent d = 3/2 for the invariant measure governing information flow. This produces robust fractal-like self-similar scaling without postulating a fundamentally fractal spacetime, and supports the block-universe interpretation as a structural consequence of the Δ–Σ vacuum. UME predicts a correlated Δ-sector Higgs admixture at 125 GeV and a 0.9 TeV Δ-resonance, forming a two-component signature that falls outside the scope of standard single-resonance searches but remains fully testable with existing LHC data.

Ce résumé expose les affirmations des auteurs. BNTIC ne l’interprète pas comme une validation indépendante des résultats.