Telescopic Mapping and the Datamatic Synchronization of Primes: Applications to Goldbach, Twin Primes, and the Riemann Hypothesis

Title Description The document is a theoretical mathematics manuscript titled "Telescopic Mapping and the Datamatic Synchronization of Primes: Applications to Goldbach, Twin Primes, and the Riemann Hypothesis"[cite: 1]. Authored by Adhrit Mohan Sahai of the Theoretical Research Division in February 2026, the paper proposes a unified geometric framework to resolve major problems in number theory[cite: 2, 3, 5]. It introduces the Sahai Datamatic Operator (D) and Telescopic Mapping (t), which are used to synchronize the discrete distribution of primes into a continuous, stabilized geometric progression[cite: 6, 11, 15]. By mapping stochastic prime gaps into "stable geometric resonances," the author claims to provide structural proofs for the Goldbach Conjecture, the Twin Prime Conjecture, and the Riemann Hypothesis[cite: 7].