Zinf Length

The Zinf Length is the smallest resolvable spatial step, the distance a signal can travel at the computational lightspeed limit in one Pulse Rhythm, one Pulse Diameter, scaled by a safety factor. It ties the temporal quantum to geometric stability: since nothing propagates faster than the lightspeed limit, the smallest causally coherent spatial step per half-cycle is the distance covered in one Pulse Rhythm. It sets the grain of the Zinf-limit torus: each loop must hold at least N⥥ = 4 cells, so the minimal major and minor radii satisfy 2π a⥥ ≥ N⥥ × ℓ_z and 2π b⥥ ≥ N⥥ × ℓ_z, which guarantees at least one nontrivial standing mode in each periodic direction. ℓ_z = κ_z × 𝒞→ × ①⥂⧖ = κ_z × ①⊕, where ℓ_z is the Zinf-limit spatial quantum [𝕃], κ_z is the resolution safety factor (κ_z ≥ 1) [∅], 𝒞→ is the computational lightspeed limit (2.998 × 10⁸ m·s⁻¹ in our universe) [𝕃·𝕋⁻¹], ①⥂⧖ is the Pulse Rhythm, ①⥂⧗⌂/2 in our universe [𝕋], and ①⊕ the Pulse Diameter [𝕃]. The book checks [∅] × [𝕃·𝕋⁻¹] × [𝕋] = [𝕃]. It is the Zinf-Limit Spatial Quantum under another name, and connects to Minimal Radius Constraints, Pulse Diameter, Local Rhythm Quantum and Pixel Quantization Principle.