Paper 36: Discrete Action and the Geometry of Time in the Holosphere Lattice
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This paper develops a coherence-based reinterpretation of physical action and time, grounded
in the discrete angular phase structure of the Holosphere lattice. In contrast to conventional the
ories that assume a continuous temporal backdrop, Holosphere Theory proposes that time arises
from the sequential alignment transitions of nested, triadically rotating Holospheres—neutron
scale coherence shells composed of Planck-scale subunits. Each transition represents a quantized
increment of angular strain relief, governed by local coherence depth and strain curvature.
We show that action is not a continuous integral over spacetime, but a sum over discrete
angular reconfiguration events, each carrying a quantized unit of effective action ℏeff = θ · pθ.
While often numerically close to the Planck constant ℏ in low-strain regions, ℏeff emerges from
local lattice coherence and may deviate under extreme angular strain conditions.
Time, in this model, is not an independent variable but an emergent indexing of causal
reconfiguration steps. The directionality of time—the arrow—is encoded in the irreversible
redistribution of coherence strain, while causality is enforced by coherence connectivity and
phase propagation limits.
This framework offers a natural explanation for quantization, time asymmetry, and mea
surement collapse as structural features of coherence strain propagation. It also resolves the
ontological ambiguity of quantum phase by assigning it to real angular alignment between ro
tating lattice units. Action, time, and causality thus emerge together from a shared geometric
foundation: the discrete, triadic structure of angular phase coherence in a nested Holosphere
lattice.
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