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Zero Pairs Interaction Functional—Unified Spectral Alignment and Coherence—Zigzag Zero–Fractional Zero: A Unified Spectral Theory of Light, Superluminal Coherence, and the Holographic Universe

Ebrahim E. Elsayed

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Source: Crossref

Published: Aug 28, 2026

DOI: 10.20944/preprints202607.2357.v7

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Source abstract

This work presents a unified spectral theory of light based on the non-trivial zeros of the Riemann zeta function. Light emerges as a manifestation of spectral coherence in a fundamental frequency space, where information is encoded through the alignment and interaction of spectral modes. A Superluminal Coherence Coefficient is introduced to quantify information transfer in spectral space. Numerical simulations using the first one thousand zeta zeros yield a spectral coherence approaching unity. The model provides a mathematical foundation for wave-particle duality, quantum entanglement, and the holographic principle, consistent with the theory of relativity. The framework suggests that the Riemann zeta zeros may constitute a fundamental frequency spectrum encoding information across multiple scales of reality.

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