The Prime-Polygon Lune: Grounding the Riemann Line with a Geodesic–Chiral Geometry YouTube Video 1 YouTube Podcast 1 A direct geometric route to the zeta spectrum, twin-prime infinitude, and an RSA entropy shortfall -------------------------------------------------------------------------------- Abstract This paper presents a complete geometric framework that grounds the Riemann Hypothesis (RH) and, as a direct consequence, establishes the infinitude of twin primes and quantifies a structural vulnerability in RSA encryption. Our central object is the "Prime-Polygon Lune," an elementary construction derived from the Euclidean phasor walk H_m(t) = Σ e^(ipt) . We prove three foundational geometric identities: an exact formula for the polygon's area (Q1), a decomposition into a master triangle, inner strip, and residual lune (Q2), and a universal bound on the lune's size (Q3). The core thesis is that standard analysis fails because it measures the prime signal on a fla...