A Geometric Framework for Prime Generation and the Riemann Hypothesis

This paper presents a novel geometric framework for understanding prime number generation and its potential connection to the Riemann Hypothesis. Beginning from first principles, the author develops a two-layer geometric model in which prime numbers emerge as contact points between a generative void layer beneath the number plane and the number plane itself. The framework introduces five formal definitions — the Prime Wall, the Half Line, the Gorge, the Link Event, and the Void/Zero — and derives empirically verifiable predictions from them. Key results include: (1) a self-regulation law governing prime gap clustering, verified across all primes to 1,000,000; (2) a three-type classification of primes with distinct gap behaviour; and (3) the observation that the first 100 verified Riemann zeros lie strictly within prime midpoint zones, consistent with the geometric model. This work is presented as a geometric hypothesis and framework — not a completed formal proof — and identifies the open mathematical question whose resolution would constitute a complete proof. Five directions for future formal development are outlined.