Topological Unification of Particle Masses via Ramanujan Partitions in Quantum Twist Geometry

We present a topological unification framework (UER–TTSU–TSP) in which particle masses emerge
from twist degeneracy quantified by the Ramanujan partition function 􀝌(􀝊). The universal mass
formula 􀝉 = 􀝉􀯉 /􀶥􀝌(􀝊) predicts all Standard Model fermion and boson masses with sub-percent
precision. The twist field Ψ􀮾 (􀟬, 􀟶) quantizes spacetime torsion and encodes particle identities via
topological indices 􀝊 determined by spin, internal quantum numbers, and symmetry dimensions. Our
results establish a geometric origin for mass, charge, and energy, and yield new predictions for dark
matter and quantum gravity signatures.