Causal Emergence of Relativistic Invariance and Multi-Rate Relaxation from a Minimal Discrete Grammar

We present a constructive derivation of relativistic invariance, kinematic time dilation, and multi-rate dissipative relaxation emerging from an austere discrete causality grammar: ΔTrue → ΔO → ΔG. The speed of light c emerges naturally as the strict topological constraint that the causal graph G can advance at most one cut per elementary act. Time dilation is shown to be act-budget depletion along spatial displacement paths. When evaluated against 444,806 experimental points—including quantum optomechanics resonators (Nature 2024) and nonlinear electro-mechanical benchmarks—the derived opponent-coupled multi-rate relaxation matches physical observation down to 10-6 nats without free parameters. Archive SHA-256: ad5256da54ef110a0a83fc849db0a9d56b778a66d88edee28a1935a3a80eaea9 Core Sealed Engine SHA-256: 1b01b672b6f2ff2485c318c1c8e3294ed59e35f41298fcfddd111b08d71b04e4