Cyclic Non-Equilibrium Energy Conversion via Inductive Braking in Particle Accelerators

We propose a cyclic energy conversion mechanism based on non-equilibrium dynamics, where particle acceleration and inductive deceleration are alternated. The induced electromagnetic braking is interpreted not as a loss mechanism, but as a regenerative energy extraction process. Starting from a unified non-equilibrium force formalism, we derive a general power balance condition, introduce a segmented accelerator-generator concept, and propose a feasible experi- mental setup. The scheme naturally generalizes Carnot efficiency and connects laboratory-scale devices to astrophysical acceleration phenomena.