Electron Mass Is Specified by Five Fundamental Constants, <i>a</i>, <i>ħ</i>, <i>G</i>, Λ, and Ω<sub>Λ</sub>, from Quantum Mechanics and General Relativity

Abstract

Electron mass has been considered a fundamental constant of nature that cannot be calculated from other constants such as Planck’s constant ħ and gravitational constant G. In contrast, holographic analysis takes account of the finite amount of information available to describe the universe and specifies electron mass to six significant figures in terms of five fundamental constants: fine structure constant a, ħ , G, cosmological constant Λ, and vacuum fraction ΩΛ of critical density. A holographic analysis accounts for charge conservation, mass quantization, and baryon/antibaryon ratio. A holographic analysis relates electromagnetism and gravitation, specifies electron Compton wavelength in terms of Planck length and cosmological event horizon radius, and has implications for charged Standard Model fermion masses, minimum stellar mass at redshift z, and use of continuum mathematics in a discontinuous universe.