Antimatter in the Operator-Derived Dimension: Bulk Localization, Separation, and Thermodynamic Asymmetry

The Standard Model describes CP violation but does not explain the geometric origin of the matter-antimatter asymmetry. The Operator-Derived Dimension (ODD) framework provides a 5D topological mechanism where fermions and anti-fermions are localized at distinct coordinates along the extra dimension y.We define the Geometric Asymmetry Parameter δf = ∆y/σ. We showthat:1. Standard Model particles correspond to δf ≈ 0 (maximal overlap), explaining their identical masses and annihilation rates.2. A non-zero separation ∆y in a warped bulk creates a potential energy difference ∆E between matter and antimatter.3. This geometric energy splitting induces a thermodynamic bias in the early universe, naturally generating the observed baryon asymmetry without violating unitarity.4. Dark sector candidates correspond to large separations (δf ≫ 1), resulting in exponentially suppressed annihilation.This formalism provides a geometric basis for the origin of matter in the universe.