Paper 36: Discrete Action and the Geometry of Time in the Holosphere Lattice

This paper presents a coherence-based reformulation of physical action and time, grounded in the discrete angular phase structure of the Holosphere lattice. Rather than treating action as a continuous integral or time as a fundamental parameter, Holosphere Theory proposes that both emerge from quantized angular phase reconfigurations between nested, triadically rotating Holospheres—neutron-scale coherence shells composed of Planck-scale units. Each discrete transition carries a unit of angular action ΔS = θ · pθ, where θ is the angular misalignment and pθ = ∂V/∂θ is the conjugate angular strain momentum. Time arises as a count of such transitions: t = N · τ, with τ set by local coherence strain and angular potential gradients. Causality and the arrow of time are enforced by coherence thresholds and irreversible strain redistribution. The framework predicts strain-dependent deviations from Planck’s constant (ℏeff), natural time dilation effects, and coherence-collapse-based measurement. This model offers a geometric foundation for quantization, causality, and measurement, replacing continuous spacetime with discrete angular memory.