The Riemann Hypothesis and the Golden Spiral in the Frozen Critical Strip

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Authors: Seyed Kazem Mousavi
Cited by: 0

Abstract

We present the Riemann zeta function embedded in a six-dimensional space with a 3+3 signature. Within the frozen critical strip, the zeta function remains fixed, while phase oscillations are transferred to an orthogonal dimension that follows a golden spiral trajectory perpendicular to the strip. Two complementary angles, θ and φ, regulate this structure through a controlled violation of orthogonality, determined by the elliptic eccentricity and the inner focus of the ellipse. Prime numbers are organized into six distinct groups based on trigonometric similarity, corresponding to the six trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant. A recursive inner digit sum (INDS) mapping defines admissible ranges for θ and φ, linking these six groups to the zeta function. For INDS classes 3, 6, and 9, no prime numbers occur, except for the prime number 3 itself.

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
3 January 2026