From Plausibility to Predictability: Angular Field Dynamics and the Lepton Mass Hierarchy in Eido Theory

Current theoretical physics faces a stagnation in the unification of relativity and quantum mechanics. Faced with this challenge, we have developed an alternative theory: the theory of Eido (from the Greek εἴδω, 'to see'), a new ontology where fundamental reality is a field of discrete angular orientations, Θ, and space-time is an emergent property. We use a Lagrangian from a field of matrices of the Lie group SU(2) to describe its dynamics. Using simulations, we show that the elementary entities of this theory (eidos) are robust and stable topological configurations. Taking a crucial step, we calibrated the model with the mass of the electron and, using the equation M = α ∫ |∇·Θ| dV, predicted the masses of the muon and tau with an accuracy greater than 99.8%. This result suggests that the mass hierarchy of leptons is not arbitrary, but a direct consequence of the topological structure of the angular field, offering a unified framework with verifiable predictive power.