This paper synthesizes a coherent research program spanning digital twins, artificial intelligence (AI), blockchain, quantum optimization, Industry 5.0, electric and solar-assisted vehicles, and a family of Fourier–Karhunen–Fourier (FKF) spectral transforms. Drawing on twenty-eight prior studies, the paper argues that resilience is no longer a purely organizational property; it is a coupled cyber-physical-spectral property that can be measured, optimized, and secured. Digital twins provide a living model of multi-echelon networks; AI and blockchain jointly raise transparency and green performance,; quantum annealing and related methods attack combinatorial bottlenecks in unit-load and disruption recovery problems,; and the FKF/FKL transform family supplies a shift-invariant spectral calculus for lead-time, inventory, and resonance phenomena –. Mobility work on battery sizing, materials, solar hybrids, and intelligent transport, closes the loop between energy, vehicles, and freight. The contribution is an integrated agenda: sense with IoT, twin the network, optimize with AI and quantum, certify with blockchain, and diagnose dynamics with FKF spectra.

Padma B,"Convergent Digital, Quantum, Spectral Frameworks for Resilient Supply Chains and Sustainable Mobility" International Journal of Advanced Multidisciplinary Research and Educational Development, V2(5): Page(491-498) September - October 2026. ISSN: 3107-6513. www.ijamred.com. Published by Scientific and Academic Research Publishing.