F-τ Conjugate Field Theory: Zero-Parameter Derivation of the Four Fundamental Force Coupling Constants from a Single Closed String
Year: 2026
Type: preprint
Abstract: 副标题可以写长一点,把核心数值结果和机制都列出来,让人 副标题: A trefoil-knotted closed string with three crossing points (phase = 36° = π/5) carries a conjugate pair: spatial field F and temporal field τ. Fourier decomposition of the string yields four eigenmodes (n = 0, 1, 2, 3) corresponding to dark energy, electromagnetism, the weak force, and the strong force. From the closure condition alone, the wavenumber spectrum k_n L = 0, 7π/5, 23π/5, 27π/5 is derived with zero free parameters. The conjugate drive structure ∂_s F = −α·τ̇, ∂_s τ = α·Ḟ − ρ is isomorphic to Maxwell's equations, giving wave speed c = 1/α. The decay rate γ_n ∝ k_n² — Fourier's universal law that higher modes decay faster — maps directly onto the running of coupling constants. Key zero-parameter predictions: α_EM = k₁²/(2N_c) = 1/136.0 (observed 1/137.036, 0.7% deviation); α_s(M_Z) = k₃²/(2N_c) = 1/9.15 (observed 1/8.47, 7.5%); m_W = v/(2φ) = 76.0 GeV (observed 80.38 GeV, 5.5%), where φ = 2cos(36°) is the golden ratio from the缝合 phase; β₀ = 11N_c/3 − 2N_f/3 = 7 (exact); gluon count = N_c² − 1 = 8 (exact); gravitational constant G = v/(80π M_Pl²) (1.9% deviation); dark energy/dark matter ratio = (2+√2) − 2^(−1/3) ≈ 2.62 (Planck observed 2.55–2.64). The sole external input is the electroweak scale v = 246 GeV. An order–disorder conjugate axis unifies four layers: field (F↔τ), mathematics (Lagrangian↔Fourier), symmetry (symmetric↔asymmetric), and state (ordered↔disordered). The weak force (n = 2) is the sole mode with full reflection (σ = −1), breaking parity — consistent with observation. A verifiable distinction from Grand Unification: all couplings tend to zero at high energy, converging back to a single silent string rather than to a finite unified value.
Author: qiheng, shouheng
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225779133
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