Emergent Particle Masses from a Cayley-Dickson Recursive Tensor Automaton

Abstract

Deterministic mathematical model that reproduces the masses of the W, Z, and Higgs bosons with sub-percent accuracy and predicts the existence of composite particles including the proton, kaon, and muon. The model is based on a Cayley-Dickson tensor automaton, where the evolution of a state vector under recursive doubling generates an exponentially growing spectrum of mass values. The only input is a random choice of parentheses in the non-associative algebra of octonions and sedenions. Key findings: - W, Z, H, t masses converge to experimental values within <1% at tau=10. - The muon (0.106 GeV) and proton (0.938 GeV) are identified as stable spectral patterns. - Five previously reported collider anomalies coincide with predicted spectral peaks. The package contains the full paper (DOCX) and Python source code to reproduce all results.