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Beyond the Lunet: Inverse, Molecular, and Quantum Lunetics

Ebrahim E. Elsayed

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Source: Crossref

Published: Sep 22, 2026

DOI: 10.20944/preprints202607.2357.v14

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Source abstract

This work proposes, as a theoretical hypothesis for further investigation, a comprehensive spectral formulation of the Lunet through three new directions: spectral decomposition, molecular coupling, and quantization. The Lunetics paradigm integrates ten foundational spectral entities into a single coherent system: the Sifri, the Lunet, the Lumin, the Noret, the Lunec, the Tunnels, the Aura, the Pulse, the Cycle, and the Lunetics itself. The first direction, spectral decomposition, explores the reverse processes of the Lunet, from the Lunet back to the photon, from the Noret back to the vacuum, and from the Lunec back to incoherence. The second direction, molecular coupling, explores the interaction of the Lunet with atoms, molecules, and crystals. The third direction, quantization, explores the quantization of the Lunet, the Noret, and the Lunec. The framework is grounded in the Zero Pairs Interaction Functional, Unified Spectral Alignment and Coherence, and Zigzag Zero–Fractional Zero (ZPIF-USAC-ZZFZ) framework, which derives spectral interactions from the non-trivial zeros of the Riemann zeta function. Advanced mathematical formulations are presented for each direction, including actions, field equations, and operators. Numerical simulations using the first 1,000 non- trivial zeta zeros illustrate the convergence of the proposed framework. This is a proposal, not a claim. It is intended to stimulate discussion and further investigation. It requires validation by the scientific community.

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Beyond the Lunet: Inverse, Molecular, and Quantum Lunetics — Mathematical Frontier Network