Electrogravitational Torsion Dynamics and Spacetime Engineering: A Unified Einstein–Cartan–BRST Approach Using Spin–OAM

Electrogravitational Torsion Dynamics and Spacetime Engineering This white paper presents a unified theoretical and experimental framework for the generation, amplification, and detection of a dynamic axial torsion field utilizing structured electromagnetic radiation. Grounded in a first-order Einstein-Cartan gravity formulation and stabilized via BRST quantization, the study posits that photonic fields endowed with Spin and Orbital Angular Momentum (SAM and OAM) can function as coherent sources for torsion when confined within logarithmic spiral resonant cavities. The document derives an effective field theory predicting Proca-like dynamics for torsion, characterized by direct couplings to optical spin and orbital currents. It proposes a complete design strategy for microwave resonators operating at 20 GHz, capable of geometrically amplifying these effects. Furthermore, the paper establishes a rigorous, falsifiable experimental protocol—supported by FEM/FDTD simulation guidelines and systematic error controls—to detect resulting metric perturbations, including interferometric time delays and mechanical torsional torques, aiming to bridge fundamental field theory with applied spacetime engineering.