PHTC: A Critical Examination of a Single-Parameter Projection Framework

Abstract

We present a rigorous examination of the Protomaton-Holographic Transcription Cosmology (PHTC) framework. Starting from three clear assumptions, we derive all mathematical consequences. We find that the single-parameter version yields a discrete mass spectrum that is incompatible with observed lepton masses (muon off by factor ~ 146, tau off by ~ 2000), and a dark energy density that is ~ 1076 times too large. We conclude that the single-parameter PHTC framework is empirically inadequate.