N-Body Composite Holonomy, Symplectic Uncertainty, and T-Symmetry Breaking in AdS2/CFT1

This work proposes a geometric framework connecting the distribution of prime numbers with structures in two-dimensional Anti-de Sitter space (AdS₂). Each prime is represented as a boundary event that emits a null signal into the bulk geometry. When signals from two distinct primes intersect, they form a composite interaction point whose geometry encodes arithmetic relationships between those primes. This construction naturally separates into two sectors. The prime sector preserves a time-reversal symmetry, stabilizing its spectral behavior and placing it on the critical line Re(s) = 1/2. The composite sector introduces holonomy phases — geometric rotations that accumulate along closed paths through intersection regions — breaking this symmetry and displacing composite contributions to Re(s) = 0. The combined structure produces a layered spectrum in which prime and composite dynamics contribute differently to the zeros of the Riemann zeta function. The framework suggests that prime distribution can be interpreted through geometric propagation and intersection patterns, resembling a boundary-to-bulk correspondence in which arithmetic information on the boundary generates geometric phenomena in the interior. While this work does not constitute a proof of the Riemann Hypothesis, it identifies two structural conditions — a spectral correspondence between the candidate Hamiltonian and zeta zeros, and a collective symmetry property of prime orbits — that, if established, would complete the argument. The goal is to provide a geometric language that organizes and visualizes the relationships between primes and their spectral implications.