Felipe Maya Muniz

Directional Relational Manifolds: Stratified Variable-Rank Geometry, Rank-Transition Holonomy, Geometric Hysteresis, and Energy-Controlled Transitions

We introduce Directional Relational Manifolds (DRM), a stratified variable-rank geometricframework for systems whose effective degrees of freedom may emerge, collapse, or reorganizewith state. The construction starts from a smooth finite-rank vector bundle E → M, a smoothsymmetri...