Endogenous Electrical Realization from Coherence Geometry: Source-Level Triggering, Finite-Support Activation, and Physical Energy Release

This record contains Version 1.0 of Endogenous Electrical Realization from Coherence Geometry: Source-Level Triggering, Finite-Support Activation, and Physical Energy Release, a mathematical and computational investigation of electrical transport activation within the Coherence Geometry (CG) framework. The paper investigates how an organized charged Source may support only weak electrical current while retaining the capacity for a rapid transition into stronger physical transport. Within a specified fixed-capacity projective charge sector, the Fubini-Study metric determines a bounded electrical realization factor, αQ = sin²(2γ), which governs the available charged-phase current response. The resulting Source dynamics exhibit a maintained-drive charged-occupation instability. Spatial coherence stiffness introduces an additional finite-support activation threshold, characterized by the lowest eigenvalue of a Source opening operator. An explicit spherical reduction yields an analytical critical-radius condition separating linearly stable and unstable Source configurations. To investigate physical energy release, the study couples charged Source occupation to a dynamical electromagnetic mode, an external phase/charge reservoir, and an ideal dissipative receiver. Numerical integration demonstrates rapid growth of charged transport capacity and a concentrated electrical power response. An exact energy identity accounts separately for Source and electromagnetic storage, reservoir work, Source relaxation, and receiver absorption, with numerical conservation checks reported in the paper. The analysis distinguishes intrinsic Source geometry and conserved electrical current from the additional electromagnetic response, boundary conditions, and constitutive assumptions required for physical realization. The electromagnetic foundations are supported by Coherence Geometry Foundations, Part II: Physical Projections, Version 0.3 (DOI: 10.5281/zenodo.23333228), particularly its revised Chapter 8 and mathematical Appendices D and E. This work complements Endogenous Vortex Realization from Finite Latent Rotational Cores (DOI: 10.5281/zenodo.23037197). Both studies investigate transitions between organized Source structure and realized physical transport, while employing distinct geometrical variables and activation mechanisms. The present results establish an idealized Source-level electrical realization and energy-transfer mechanism. They do not constitute a complete model of plasma ionization, spatial discharge-channel propagation, or atmospheric lightning. The paper is released as an archival research preprint and has not undergone external peer review.CGI Internal ID: CGI-RSR-000045