Binary Flow III: Foundations of a Phase-Unified Theory

Abstract

We present the complete foundational formulation of the Binary Flow theory. We show that all fundamental constants of physics —c, ħ, G, α, and mₑ— emerge from a single geometric structure: the phase space metric. We derive a Lagrangian for the phase field Φ that contains all interaction modes, and whose variation recovers the phase equation used in previous works. Finally, we perform canonical quantization of the field, demonstrating that the Standard Model particles correspond to the quanta of its three phase modes (0°, 45°, 180°). This work completes the theoretical core of Binary Flow, leaving only phenomenological applications for future exploration.