Part II — Electromagnetic Curvature: Extended Dynamics, Reduction Hierarchy, and Experimental Geometry Part II expands the framework into a complete working model: curvature-field dynamics and transport equations, curvature-induced polarization and Berry-phase effects, analytic reductions for special symmetry regimes, numerical models, waveguide analogues, and curvature-dominated propagation, extensive appendix set detailing derivations, quantization, high-field predictions, and observational constraints. Part II functions as the “working manual” for researchers developing simulations, experiments, or further theoretical generalizations.

Part I — Electromagnetic Curvature: Introduction and Geometric Foundations This paper develops the geometric and variational foundations of the tri-curvature framework: construction of curvature basis tensors, formulation of the extended curvature tensor ℱ_{\mu\nu}, derivation of the unified Lagrangian, curvature-modified Maxwell equations, weak, strong, and symmetry-reduced propagation regimes, experimental signatures. Part I establishes the mathematical architecture of intrinsic electromagnetic curvature and lays the groundwork for physical interpretation and empirical exploration.

Scientific Significance Together, these two manuscripts introduce a coherent geometric extension of electromagnetism that: preserves all known Maxwell results, predicts new curvature-induced effects observable in laboratory and astrophysical systems, provides a multipurpose Lagrangian foundation compatible with analytical, numerical, and experimental development. The Electromagnetic Curvature Series marks the beginning of a broader research program in geometric electromagnetism and curvature-driven field theory.