The Electron and The Cosmos from Two Integers

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Abstract

We construct an imaginary universe from three phenomenological observations — causality, finite information, and unitarity — with no free parameters. A holographic boundary membrane with two elastic constants is derived, and 14 algebraic steps produce closed-form expressions for 6 Standard Model free parameters — the electroweak scale (91.5 GeV), three gauge couplings, the electron mass (0.51100 MeV), and the lightest neutrino mass (1.753 meV) — plus 8 cosmological observables including the cosmological constant, the Hubble constant (67.3 km/s/Mpc), and the baryon-to-dark-matter ratio (5.34). All values agree with current measurements within experimental uncertainty. Whether this constructed universe describes our universe is an empirical question; we identify 10 testable predictions. A prize of $20,000 is offered to anyone who proves U_H ≠ U_O (see Challenge).

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