10.16 θ-Coherent Radiator

Abstract

Based on the Sole Axiom δ of Conjugate Spectral Geometry, we propose the θ-Coherent Radiation (TCR) mechanism — by controllably manipulating the ℳ𝒞ℐ three-sector angular configuration, energy is radiated as photons along the M-C waist-edge coupling channel, bypassing electron transitions. Core results: the θ-Coherent Radiation Theorem gives an efficiency ; the frequency-angle relation supports continuous tuning from 0–839.76 keV; the Coherence Gain Theorem gives a radiation linewidth . A three-layer θ-Coherent Radiator design is proposed, with a theoretical electro-optical conversion efficiency reaching 31.7%. **Keywords:** θ-Coherent Radiation; geometric luminescence; M-C waist-edge coupling; information field injection; angular modulation cavity; non-thermal light source