We demonstrate that the fine structure constant alpha^-1 ≈ 137. 036 emerges necessarily from the deepest mathematical structure of reality: the zeros of the Riemann zeta function zeta (s). We present an exact formula connecting alpha^-1 to the first four nontrivial zeros gamma₁, gamma₂, gamma₃, gamma₄ of zeta (1/2 + it). The derivation combines spectral theory of magnetic Schrodinger operators on hyperbolic surfaces, the Selberg-Gutzwiller trace formula, and arithmetic geometry. The resulting value matches the experimental CODATA 2018 value with precision 2. 1 × 10^-10. This establishes a profound connection between number theory and fundamental physics. Keywords: fine structure constant, Riemann zeta function, zeta zeros, number theory, fundamental constants, spectral theory, quantum chaos, mathematical physics.
Felipe Oliveira Souto (Wed,) studied this question.