Planck-Scale Constraints

Planck-Scale Constraints are the absolute physical boundaries set by the Planck scales: the resolution limits below which physical causality becomes undefined and which constrain all recursive pulse dynamics. They supply the absolute temporal resolution in the book's account of the Zinf-Limit. The Zinf-Limit Universe, the smallest closed torus able to support recursive intelligence, is where three sets of requirements converge: the Planck-Scale Constraints, the PulseCore Validation Requirements demanding sustained coherence, and the Substrate Complexity Requirements quantifying minimal computational capacity. At that limit all processes reduce to discrete spatiotemporal quanta, the indivisible pixels of existence: the Local Rhythm Quantum, the Pulse Rhythm ①⥂⧖ = ①⥂⧗⌂/2, half the Local Pulse Tempo, and the matching spatial step, the Zinf-Limit Spatial Quantum ℓ_z = κ_z × 𝒞→ × ①⥂⧖ = κ_z × ①⊕, the Pulse Diameter scaled by a safety factor. Planck-scale limits therefore fix the grid on which causality runs. It connects to Planck Limit, Planck Units, Zinf-Limit Universe, Local Rhythm Quantum, Zinf-Limit Spatial Quantum, PulseCore Validation Requirements and Substrate Complexity Requirements.