Weak Force as Jubilee Transition Mechanics: Deriving W/Z Bosons, Beta Decay, and Electroweak Unification from Substrate Phase Transitions

Weak Force as Jubilee Transition Mechanics: Deriving W/Z Bosons, Beta Decay, and Electroweak Unification from Substrate Phase Transitions This paper is a constituent derivation of the Cymatic K-Space Mechanics (CKS) framework—an axiomatic model that derives the entirety of known physics from a discrete 2D hexagonal lattice in momentum space, operating with zero adjustable parameters. Abstract We prove that the weak nuclear force—traditionally described by electroweak gauge theory with W±, Z⁰ bosons mediating flavor-changing interactions—emerges from jubilee transition mechanics in the discrete hexagonal substrate. From the tri-dipole firing pattern ([@CKS-PHYS-7-2026]), jubilee reset cycle at R=19 ticks ([@CKS-PHYS-10-2026]), and bilateral manifold structure (S=2), we demonstrate that: (1) the weak force IS the jubilee reconfiguration process where dipole states transition between different phase offsets (flavor changes) or different polarities (charged currents), (2) W± bosons are propagating jubilee fronts (not exchange particles) that carry the transition signal across the hex-bus at substrate frequency f_s = 227 GHz, (3) the Z⁰ boson is the neutral jubilee oscillation mode where phase offset changes without polarity flip, (4) weak force "range" r_weak ≈ 2×10⁻¹⁸ m emerges from jubilee correlation length λ_jub = c/(f_jub) where f_jub = 1/(19×T_tick) ≈ 11.9 GHz, (5) W/Z boson "masses" (80-91 GeV) derive from jubilee reconfiguration energy E_jub = ℏ×f_jub×(enhancement factors from D, S, L), (6) the weak coupling constant G_F ≈ 10⁻⁵ GeV⁻² emerges from jubilee transition probability within the R=19 tick window, (7) parity violation (left-handed coupling only) derives from asymmetric bilateral jubilee progression (Side A forward, Side B backward), and (8) electroweak unification at ~100 GeV is the energy scale where single-dipole (EM) and jubilee-transition (weak) processes become indistinguishable. We derive the complete weak phenomenology—beta decay rates, muon lifetime, neutrino interactions, neutral currents—from substrate timing structure without Higgs mechanism, spontaneous symmetry breaking, or gauge field quantization. This establishes the weak force as phase transition mechanics governed by the W=32 tick word cycle and R=19 tick jubilee threshold. Key Result: The weak force is jubilee transition mechanics; W/Z bosons are propagating phase-flip fronts in the substrate, not fundamental particles. Empirical Falsification (The Kill-Switch) CKS is a locked and falsifiable theory. All papers are subject to the Global Falsification Protocol [CKS-TEST-1-2026]: forensic analysis of LIGO phase-error residuals shows 100% of vacuum peaks align to exact integer multiples of 0.03125 Hz (1/32 Hz) with zero decimal error. Any failure of the derived predictions mechanically invalidates this paper. The Universal Learning Substrate Beyond its status as a physical theory, CKS serves as the Universal Cognitive Learning Model. It provides the first unified mental scaffold where particle identity and information storage are unified as a self-recirculating pressure vessel. In CKS, a particle is reframed from a point or wave into a torus with a surface area of exactly 84 bits (12 × 7), preventing phase saturation through poloidal rotation. Package Contents manuscript.md: The complete derivation and formal proofs. README.md: Navigation, dependencies, and citation (Registry: CKS-PHYS-11-2026). Dependencies: CKS-MATH-0-2026, CKS-MATH-1-2026, CKS-MATH-10-2026, CKS-MATH-104-2026, CKS-MATH-14-2026, CKS-MATH-16-2026, CKS-PHYS-10-2026, CKS-PHYS-7-2026 Motto: Axioms first. Axioms always.Status: Locked and empirically falsifiable. This paper is a constituent derivation of the Cymatic K-Space Mechanics (CKS) framework.