THE EL-RAKHAWI DISCRETE TIME-CRYSTAL QUANTUM ARCHITECTURE (DTC-QA): NON-EQUILIBRIUM PHASE COMPUTING AND ULTRA-PRECISE SPATIOTEMPORAL METROLOGY VIA BROKEN TIME TRANSLATION SYMMETRY

mohamed kamal arafa el-rakhawi

Published Oct 16, 2026• 0 citations

Abstract

The El-Rakhawi Discrete Time-Crystal Quantum Architecture (DTC-QA) transitions quantum computing from spatial to spatiotemporal paradigms. It utilizes Discrete Time Crystals (DTCs) engineered via Floquet driving and Many-Body Localization (MBL) to perform non-equilibrium phase computing. The system spontaneously breaks discrete time-translation symmetry, exhibiting sub-harmonic oscillations where the expectation value satisfies O(t+T) != O(t) but O(t+nT) = O(t) for integer n>1. This topologically protected temporal order enables Chrono-Reservoir Computing, where classical measurement outcomes of local observables serve as high-dimensional temporal features without full-state tomography. The architecture minimizes the El-Rakhawi Chrono-Computational Loss (L_CCL), penalizing subsystem bipartite entanglement entropy growth to prevent Floquet heating. Performance is quantified by the El-Rakhawi Chrono-Computational Fidelity Metric (ECCFM), yielding bits per Joule. Applications include fault-tolerant quantum AI, ultralight dark matter detection, and precision quantum metrology, bridging quantum physics, materials science, and artificial intelligence.

DOI: 10.5281/zenodo.23419919

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