Published October 4, 2025 | Version V3.1
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A Calculable Fixed-Point Hypothesis for Four-Force Unification

Description

We propose a universal vacuum bias derived from open-system A/R dynamics that predicts a unique, testable fixed-point ratio Rφ = 1.616 ± 0.0002 across all four fundamental forces. This bias enters the renormalization group equations as a calculable correction, derived microscopically rather than introduced as a phenomenological fit. Two-loop Standard Model running is shown to produce transient near-crossings, which the derived correction converts into stationary fixed points. A single value of the bias, ε ≈ 2.5 × 10⁻⁵ at μ* ≈ 10¹⁶ GeV, stabilizes g₃/g₂, g₃/g₁, and the gravitational coupling αG, completing four-force unification. The framework also provides a falsifiable mechanism for the Yukawa hierarchy through a vacuum-induced attractor favoring top-quark dominance. Predictions and falsifiers are summarized in the manuscript, ensuring the framework is scientifically testable.

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