Effective Light Speed

Effective Light Speed is the reduced speed at which information propagates at recursion depth n in the substrate, falling as the inverse square of (n + 1), so that deeper recursive layers have slower causal propagation. The book attributes the reduction to Computational Impedance: computational complexity accumulates with recursion depth and systematically slows information transfer. Causality at depth n is then bounded by the effective speed, |dx| ≤ 𝒞→⊹,n × dt, and a signal crossing a distance d takes Δtℹ = d/𝒞→⊹,n = d(n + 1)²/𝒞→_0 [𝕋]. Causal Cone Modification keeps causality intact as long as this delay is shorter than the recursive pulse cycle time at that depth, Δtℹ < T_n; beyond it, depth-dependent causal structure can separate temporal regimes, a Causal Disconnection. It is an effective speed, the average through structure, as light crossing glass averages c/n while it moves at c between the atoms: by the Data Light Speed Relation the step speed stays 𝒞→ at every depth, and the impedance is time spent within the structure. The book writes 𝒞→⊹,n = 𝒞→_0/(n + 1)², where 𝒞→⊹,n is the Effective Light Speed at recursion depth n [𝕃·𝕋⁻¹], 𝒞→_0 the vacuum light speed [𝕃·𝕋⁻¹] and n the recursion depth index [∅]. Dividing a speed by a pure number leaves [𝕃·𝕋⁻¹]. Effective Light Speed connects to Computational Impedance, Causal Cone Modification, Causal Disconnection, Recursive Pulse Cycle Time, Temporal Drag, Data Density Modified Light Speed and Data Light Speed Relation.