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Electron, Proton, Neutron: Foundational Matter from Three Integers - No Quarks No Gluons

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Zenodo2026-08-13 更新2026-08-20 收录
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The three particles that constitute all ordinary matter in the universe are derived in Temporal Congestion Mechanics from a single structural mechanism. Each particle is a closed-ring topological soliton of the fabric’s phase — a configuration the fabric is shown to support, held open at a fixed size by its own winding charge — indexed by three integers fixed by the ring topology H₁(T²) = ℤ × ℤ together with radial quantisation. The catalogue floor is derived in closed form, F(1) = (π²/3)(√e − 1)³ = 0.898 giving M(1, 1) = (32π/9)·F(1)·m_TCM = 58.39 MeV/c², so no particle mass is calibrated anywhere. The electron sits at (1, 1, 115), its radial rung derived from the ring’s own channel count (c² = m/(m − 1) = 8/7, n_max = 115.03), predicting 0.508 MeV/c² against the observed 0.511 (−0.6%). The proton at (16, 1, 1) is predicted at 934.2 MeV/c² against 938.27 (−0.4%), with charge radius r_p = √16 · ℏ/(M_p·c) = 0.84 fm against the CODATA 0.8414(19) fm, and the proton-electron mass ratio is integer arithmetic on the lattice, m_p/m_e = 16 × 115 = 1840 against 1836.15267343(11) (+0.21%). The neutron occupies the same lattice point as the proton, distinguished by a sub-winding phase-flip on the forced (4, 4, 8) partition. That one flip carries the nucleon sector. Electric charge is the net framing parity of the ring, B = 4σ₁ + 4σ₂ + 8σ₃, giving the electron −1, the proton +1, and the neutron exactly 0 by integer arithmetic, with |q| ≤ 1 automatic and spin-½ and g = |q|/Lk = 2 the same framing read twice. The mass splitting follows from the twist/writhe ledger, Δm = ½ · α_W · m_TCM · F_tw, with the counting reference now derived in closed form, F_tw = (2π/16)/sin(2π/16) · (33/32) = 1.0582; the coupling’s digits are then read from the record (α_W = 0.4200) and the deuteron’s framing overlap returned forward at −0.10%. The magnetic-moment ratio μ_n/μ_p = (1 − ζ)/(1 + ζ) is computed forward from the ring’s own nonlocal framing kernel with nothing fitted: ζ = 5.325, μ_n/μ_p = −0.6838 against the measured −0.68497934, closing to +0.064% at the derived dressed exchange radius. The lepton anomalous moments close as one structure. The electron’s is complete for a single-strand knot by the selectivity theorem — a_e = α_J/2π − 45α_J²/(14π⁴) = 0.00115965256 against the measured 0.00115965218, a landing at +3.7 × 10⁻¹⁰, from the exact ring integral 45/7 and the 2³ = 8 current dressing forced by the fabric’s own exponential readout n² = e^(2u). The muon’s closes through the framing pair channel across its nine strands at −0.042%, and the tau’s thirty-strand anomaly is staked forward at a_τ = 1.230 × 10⁻³, awaiting measurement. The integer-lattice catalogue replaces the nine free fermion-mass parameters of the Standard Model with a closed-form floor and zero catalogue-level free parameters, continuing through the muon, tau, charm, bottom, W, Z, and the 125 GeV state — eleven entries within 1.5%. Nothing is fitted: every prediction follows from the ten anchored inputs of the parent framework, the same inputs that produce the classical gravitational tests, the Ward Constant across 175 SPARC galaxies, and the derived cosmology. The sector’s open items are stated with acceptance values fixed in advance: the tau-specific term of the light-sector mass correction, and a light-front treatment of the ring’s current distribution for the pre-registered deep-inelastic test. Three integers, three particles, all ordinary matter.

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创建时间:
2026-08-13
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