Derivation of the Electron Mass from a 6-Dimensional Geometric Equilibrium: A parameter-free prediction from the Hubble constant, the fine-structure constant, and Newton's constant

The electron mass is a free parameter in the Standard Model with no known theoretical origin. We present a derivation of me from a 6-dimensional geometric model (the Forte model) in which massive particles are photons confined to closed helical loops spanning two orthogonal planes. The equilibrium condition between the particle's electromagnetic confinement radius and its gravitational (MOND) radius yields a cubic equation whose unique real solution predicts me = 9.1091×10−31 kg, agreeing with the CODATA value 9.10938×10−31 kg to 0.003% without any fitted parameters. The derivation links the electron mass to the Hubble constant H0, the dark-energy fraction ΩΛ, the fine-structure constant α, and Newton's constant G through a single formula.