EGESB-G₂: Emergent Geometric Extended Standard Basis

Key Points

• The research aims to enhance the theoretical framework linking particle physics and cosmology through improved mathematical rigor.
• Introduced the EGESB-G₂ framework
• Derived the Atiyah–Singer index for three fermion generations
• Applied semiclassical localization for internal mode spectrum
• Calculated normalized CKM overlap
• Formulated explicit Bayesian assumptions for parameter inference.
• Developed a stronger theoretical structure for particle physics and cosmology.
• Validated three fermion generations through index derivation.
• Improved understanding of internal mode spectra and CKM overlaps.
• Clarified assumptions enhancing the framework's testability.

Abstract