The Koide Relation and Lepton Mass Hierarchy from Phase Coherence

This paper proposes a topologically grounded explanation for the Koide mass relation among charged leptons. Building on a solitonic model in which elementary particles emerge as topological excitations of a temporal flow field, we derive a universal phase coherence law governing mass distributions. Each particle contributes a complex phase vector whose amplitude is proportional to the square root of its mass, and whose internal phase encodes its coherence orientation. By assigning topological weights to leptons (2) and bosons (1), based on their configuration space structure, we show that the Koide formula arises as an exact coherence partition: Qℓ=2/3, Q_B = 1/3. This framework interprets the Koide relation not as a numerical accident, but as a topological identity rooted in the geometry of internal phase space. The result suggests a new organizing principle for mass generation and motivates further exploration of topological soliton models in particle physics.