Meta-Symplectic Bridge Between Geometry, Quantum Field Theory, Gravity, and Flavor

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Authors: Jose Bocanegra
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Abstract

The Meta-Symplectic framework provides a unified geometric origin for the Standard Model and gravitation by deriving fundamental physical constants from a ten-dimensional manifold (M4 x S2 x S2 x S2). By solving the meta-symplectic master equation (M=0), this theory links internal curvature invariants and symplectic flux quantization directly to the flavor sector, successfully predicting the three-generation structure and the hierarchy parameter (ε ≈ 0.22). Key outputs include first-principles derivations of fermion masses, CKM mixing angles, and the Jarlskog invariant, alongside specific predictions for BSM phenomenology, such as a +4PN gravitational-wave phase correction and a stochastic ultra-high-frequency gravitational-wave background at 3.5 x 10^23 Hz. This work replaces arbitrary Yukawa couplings with geometric overlap integrals, offering a rigid, falsifiable bridge between quantum field theory and higher-dimensional geometry. Predictions: A geometric origin of flavor A hierarchical structure controlling masses and interactions A new scalar scale (~10 GeV) that influences low-energy physics CERN released data on March 17th 2026 that confirmed the predictions above: LHCb Collaboration discovers new proton-like particle | CERN

Fields of Study & Subjects

Particle physics theoretical and experimental studies Relativity and Gravitational Theory Advanced Mathematical Theories and Applications

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
16 March 2026
Language
EN