The Three-Layer Chiral Minkowski Cellular Automaton: A Unified Discrete Spacetime Model from First Principles

We derive physical observables from the three-layer Chiral Minkowski CA (CMCA): Rule~110 (L_x^+, right-moving), Rule~124 (L_x^-, left-moving), and a shared inner Rule~110 τ_c clock (L_t, timelike). Four principal results: (1) Lorentz invariance as observer effect: PSC Presentation Invariance forces all [D]-selected observables to be Lorentz-equivariant on the continuum; the lattice residual ε_0(7) = π^2/147 ≈ 6.71\% vanishes as M^-2 in the continuum limit; at LHC energies δ_ LV ≈ 8.8×10^-32 ( , zero sorry, one axiom). (2) Electroweak scale: ^2θ_W = 384729/1664000 ≈ 0.231207 (-0.42σ PDG~2022, , Wolfenstein; two-loop correction: +0.038σ PDG~2024, , P31~); M_Z = 91.91GeV (+0.80\%); M_W = 80.61GeV (CA-scale, M=7 resolution). (3) Born rule: P(k) = |φ_k|^2 from canonical -KG kink quantization ( \_rule\_unconditional, zero sorry, zero custom physics axioms). (4) Quantum interference: the double-slit fringe pattern reproduced at correlation 0.998 vs Fraunhofer (χ^2_ red ≈ 10^-4). The CMCA is the MDL-unique (K_ CA = 19 bits) Level-1 GTE model carrying all five structural features: generation orbit, V–A chirality, Turing universality, observer-level Lorentz invariance, and SR proper-time dilation (5.79\% error, the M=7 Nyquist floor). The 3+1D generalization is presented in~.