Geometric Theory of Particle Masses: From Galactic Dynamics to Quantum Numbers via Octonionic Synchronization
Geometric Theory of Particle Masses: From Galactic Dynamics to Quantum Numbers via Octonionic Synchronization
10.5281/zenodo.18507601 We present a unified geometric theory connecting galactic dynamics, octonionic synchronization, and elementary particle masses. Analysis of 175 SPARC galaxies reveals universal dimensionless constants Π = 4/3 and α = √3/4 with 8.2σ significance. The ynchronization constant κ1 = 8/9 = 2Π/3 emerges naturally from octonionic algebra (8 synchronized oscillators of 9 total states). Projection from 8D Cayley-Dickson space yields a mass formula m(n1, n2, n3) = MP (αEM/αG)8(αG/2π)2(8/9)n1 (1/3)n2 (1/7)n that reproduces all known particle masses with average error 0.02\%. The theory resolves the ubble tension through scale-dependent gravity Geff(ρ) = G0/p1 + ρ∗/ρ, predicts new articles at 700 GeV and 5.35 GeV, and has combined statistical significance exceeding 10σ.
LSST (2026), fundamental constants geometric theory octonionic synchronization galactic dynamics particle masses 8/9 synchronization constant universal formula cosmology modified gravity Hubble tension dark matter SPARC galaxies dimensional reduction quantum numbers predictive theory theoretical physics cosmological scales elementary particles mass formula geometric gravity, Galactic Data, Modified Gravity from Geometric Principles, MOND, FCC-ee (2028) and LHC Run 4 (2027), CMB-S4 (2027)
LSST (2026), fundamental constants geometric theory octonionic synchronization galactic dynamics particle masses 8/9 synchronization constant universal formula cosmology modified gravity Hubble tension dark matter SPARC galaxies dimensional reduction quantum numbers predictive theory theoretical physics cosmological scales elementary particles mass formula geometric gravity, Galactic Data, Modified Gravity from Geometric Principles, MOND, FCC-ee (2028) and LHC Run 4 (2027), CMB-S4 (2027)
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!