Authors: Fahd Alawad
This study introduces a temporal-angular model in which prime numbers are mapped onto a circular time framework, leveraging angular positions derived from modulo operations with respect to a 12-hour or 24-hour clock. The model reveals distinctive patterns of symmetry, clustering, and periodicity in the distribution of primes, suggesting that their apparent irregularity in the linear domain may transform into structured behavior within a cyclic representation of time.By analyzing the angular distribution of primes, a potential connection to the Riemann Hypothesis emerges: the observed symmetry may correspond to the regularity implied by the nontrivial zeros of the Riemann zeta function lying on the critical line u200b. The temporal-angular mapping could serve as a geometric analogue to the complex plane representation of the zeta function, offering an alternative perspective for visualizing and interpreting prime number distribution.The findings suggest that if the geometric symmetry of prime angular positions can be rigorously formalized and linked to the analytic properties of ζ(s), this approach may contribute to advancing the theoretical framework toward a proof—or deeper understanding—of the Riemann Hypothesis. Future work will involve refining the mathematical formulation, integrating Fourier and modular analysis, and establishing a direct correspondence between angular periodicity and the spectral interpretation of prime distribution.
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[v1] 2025-08-15 20:14:07
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