Paper T12: Quantization from Angular Phase Constraints: A Discrete Derivation in Holosphere Theory

We derive quantization of energy, action, and orbital modes from first principles using thediscrete phase structure of the Holosphere lattice. In this framework, each Holosphere maintainstriadic angular coherence along orthogonal spin axes, and coherence propagates through arecursive network of phase-locked rotational units. Rather than imposing quantization viaoperator algebra or probabilistic wavefunctions, we demonstrate that phase closure and coherencealignment naturally restrict angular strain to discrete, stable configurations. These constraintsgive rise to quantized defect propagation modes, emergent action levels, and standing wavecoherence resonances across shell depth. The resulting formalism reproduces familiar quantumbehaviors—including energy levels and orbital quantization—while providing a realist, geometricfoundation for ℏ, particle identity, and eigenstate structure. Holosphere Theory thus offers adeterministic, structural mechanism for quantization without invoking abstract Hilbert space orimaginary time evolution.