Spontaneous Lepton Flavor Condensation Via F\(_3\) × SO(10) Symmetry in Dense, Ultra Dense and Condensed Hydrogen Systems

We propose a novel discrete family symmetry F3 = Z3 × Z2 embedded within an SO(10) Grand Unified Theory (GUT), inspired by anomalies in dense hydrogen (DH). Spontaneous symmetry breaking yields composite bosonic lepton states ( Φ bosons), exhibiting flavorviolating decays and potentially catalyzing low-energy nuclear reactions with suppressed neutron yields. This work constructs the field-theoretic framework, details F3 transformations, and analyzes decay channels, fusion enhancement, and detection methods. It offers a testable extension of the Standard Model (SM) with implications for flavor physics and practical fusion energy.