Quantum π-Index in Advanced Materials: Predictive Framework for Nanostructures, Functional Polymers, and Superconducting States
| dc.contributor.author | Barack Ndenga | |
| dc.date.accessioned | 2025-11-20T16:37:08Z | |
| dc.date.issued | 2025-11-20 | |
| dc.description | This work is the fourth installment of the “Quantum-π Series,” introducing a high-level application of the quantum-π framework to advanced materials. I extend the formalism of quantum-π delocalization to graphene nanostructures, conjugated polymers, and layered superconductors, demonstrating how π-electron topology governs reactivity, transport, and electronic coherence. The article provides conceptual foundations, predictive models, and application-ready insights for materials science, nanotechnology, and quantum engineering. By establishing a unified π-based metric across different classes of materials, this paper opens new perspectives for the rational design of high-performance polymers, nanostructures, and superconducting systems. | |
| dc.description.abstract | I introduce the Quantum π-Index, a universal descriptor that encapsulates the fundamental interplay between electronic delocalization, structural periodicity, and quantum coherence in advanced functional materials. By systematically analyzing nanostructures, conjugated polymers, and superconducting phases, I demonstrate that π uniquely governs the quantization of energy levels, modulation of density of states, and maintenance of phase coherence. Through rigorous theoretical modeling, coupled with extensive numerical simulations and comparative cross-material analysis, I establish that π transcends its conventional geometric interpretation to serve as a structural invariant. This invariant dictates the underlying principles by which matter stores, transports, and manipulates electronic information at the quantum scale. Consequently, the Quantum π-Index emerges as a predictive metric for quantifying order, coherence, and emergent functionality in complex materials, offering crucial insights for the design and optimization of next-generation quantum and energy technologies | |
| dc.description.provenance | Submitted by Barack Ndenga (ndengabarack@gmail.com) on 2025-11-20T16:37:08Z No. of bitstreams: 1 53rd .pdf: 3882305 bytes, checksum: f8681a8f70267f5d7adf84ae33094e24 (MD5) | en |
| dc.description.provenance | Made available in DSpace on 2025-11-20T16:37:08Z (GMT). No. of bitstreams: 1 53rd .pdf: 3882305 bytes, checksum: f8681a8f70267f5d7adf84ae33094e24 (MD5) Previous issue date: 2025-11-20 | en |
| dc.description.sponsorship | None | |
| dc.identifier.uri | https://africarxiv.ubuntunet.net/handle/1/10587 | |
| dc.language.iso | en | |
| dc.publisher | Publisher | |
| dc.title | Quantum π-Index in Advanced Materials: Predictive Framework for Nanostructures, Functional Polymers, and Superconducting States | |
| dc.type | Article |