A Constrained-Resilience Framework Coupling Battery Envelopes, Hash-Chain Provenance, and Quantum Annealing

Abstract

This paper reconstructs an energy-feasibility framework for electric and solar-assisted unit-load-device (ULD) logistics. Vehicle activities are required to remain inside a time-varying energy budget formed by battery state of energy, regenerative recovery, photovoltaic injection, and shared depot charging. An instantaneous DC-bus power balance is coupled to a solar-augmented available-energy envelope and to a fleet-level charger constraint. The same envelope is synchronized with a digital twin of the rolling stock, so that predicted work of a mobility action can be tested before dispatch. Multi-echelon lead-time and energy residuals are inspected with the FKF/FKL family of transforms, whose shift-invariant and distributional properties isolate residue-based resonances associated with disruption. Feasibility violations are lifted into a QUBO penalty and therefore become visible to quantum annealing of ULD configuration. Hash-chain provenance records energy and custody events, while swipe-controller and power-line-carrier links secure physical access at the depot. The resulting formulation treats energy as a dynamic, shared operational resource rather than a post-hoc check, and is intended for green, Industry 5.0, and quantum-ready logistics networks Keywords— constrained resilience; digital twins; green logistics; hash-chain provenance; FKF/FKL transforms; distributional and two-sided FKF; sequential convergence; spectral resonance; multi-echelon lead time; supply-chain resilience; quantum logistics; quantum annealing; QUBO; ULD; IoT; intelligent transportation; Industry 5.0; human-centric automation; blockchain traceability; sustainable logistics; hybrid-electric mobility; battery sizing; solar-assisted EVs; power-line carrier; anti-theft systems