Electron Mass, Proton Mass, Rydberg Constant and Bohr Radius from Coherence Geometry (UFEB): A Swarm Theory Derivation

Description
This paper consolidates four results from UFEB coherence geometry: electron mass (me), proton mass (mp via ratio where applicable), the Rydberg constant (Rinf), and the Bohr radius (a0). Using previously established closures for h, alpha, e, epsilon0, mu0, Z0, c, G, and the lattice update interval (tau), these constants follow without introducing new parameters. Where an external reference value is used (e.g., measured mass inputs), the dependence is stated explicitly. Numerical results match CODATA values within quoted precision.

Highlights

• Bohr radius: a0 = (4 * pi * epsilon0 * hbar^2) / (me * e^2) using UFEB-sourced inputs

• Rydberg constant: Rinf = (alpha^2 * me * c) / (2 * h)

• Electron and proton masses discussed in UFEB context; mp handled via ratio where applicable

• Derivations tie atomic structure to coherence geometry on the lattice

• Results consistent with CODATA 2022 benchmarks

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