Self-Sustaining Quantum Information Engine Operating on Discrete Spacetime Voxels via Toroidal Geodesics and Interaction-Free Measurement

Abstract

This paper proposes a theoretical model for a self-sustaining Quantum InformationEngine (QIE) operating on discrete, volumetric spacetime at the Planck scale (voxels). Bydirecting photons into toroidal spiral trajectories (toroidal geodesics) within a localizedKerr-metric curvature (Kugelblitz), the photons exhibit controlled geodesic deviationswithout forming closed timelike curves (CTCs). This geometric framework enablesinteraction-free measurement (IFM) via an exclusion principle inside an atomic orbital,forcing the localization of an electron’s wave function. The resulting spatial confinementtriggers a sharp increase in quantum pressure and kinetic energy via the HeisenbergUncertainty Principle. To compensate for the thermodynamic cost of information erasuredefined by the Landauer Limit (E_L = k_B * T * ln 2), the model utilizes zero-point energy(ZPE) leakage from adjacent parallel vacuum states during the photon’s toroidal passage,supplemented by thermoelectric recovery of dissipation heat. The net energy balanceyields a positive work output, offering a novel thought experiment at the intersection ofquantum optics, information theory, and thermodynamics.