What does this research mean for the field?

The electron mass can be derived from a 6-dimensional geometric model, predicting a value of 9.1091×10−31 kg that closely matches the CODATA value. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

The aim is to derive the electron mass using a geometric model without fitting parameters.

March 12, 2026Open Access

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

Key Points

The aim is to derive the electron mass using a geometric model without fitting parameters.
Utilized a 6-dimensional geometric model known as the Forte model.
Established equilibrium between electromagnetic confinement and gravitational radius.
Formulated a cubic equation to find the unique solution for electron mass.
Predicted electron mass as 9.1091×10−31 kg.
Result aligns closely with the established CODATA value to within 0.003%.
Established a connection between electron mass and several fundamental constants.

Abstract

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.

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