August 1, 2025Open Access

Twin Primes Proven by Phase Symmetry and Spectral Parity

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MAIN FINDING: The proof establishes that twin primes occur infinitely often under a new mathematical framework.
KEY EVIDENCE: Excluding twin primes results in a degenerate phase structure, contradicting prime gap distributions.
APPROACH: The proof is based on modeling prime gaps as angular displacements in a complex unit circle.
SIGNIFICANCE: This work bridges arithmetic structures with wave physics, inspiring future research in spectral theory.

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Elementary proof confirms twin prime conjecture by linking prime number gaps and spectral parity.

Tang et al. (2025) studied this question.

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