Starting from the series ζ(s) = Σn⁻ˢ and introducing no prior geometric assumptions, this paper constructs a geometric equivalent of the Riemann zeta function. The construction is rooted in a single point: the "zeroth sphere" at 1/2, where center and vertex coincide — an idealized point dynamical model carrying an axis (two orientations, yielding ζ(s) and ζ(1−s)) and a circulation, hence an ideal two-dimensional point dipole. The Point-Source Signature Theorem proves that the nested, closed structure of the associated equipotential and streamline families holds if and only if the source is a point. On this foundation the paper builds, in order: the nested-circle identity; the unique reconstruction and closure of a sphere helix (frequency ratio 1/2); the rigidity of the construction (Theorems A and B); the 180° rotational symmetry (ζ(s)↔ζ(1−s) as a chirality-preserving rotation, distinguished from mirror reflection); the Equivalence Theorem with a complete six-step analytic bridge deriving the functional equation and correction factors from the geometric data; a unique Lagrangian and its conservation structure; the unification of three independent argument paths (dynamical/Gaussian, topological/Maxwellian, multiplicative/Ptolemaic), each traced to its historical origin; the geometric identity of the trivial zeros as rotation images of the diameters; the location of chord closure inside the critical strip; and a translation of the main theorem back into the distribution of primes, connecting Euler's product, Gauss's density x/ln x, and Riemann's explicit formula in one arc. The paper does not claim exclusivity of the geometric model; its legitimacy rests on two criteria — equivalence (bijective correspondence with ζ, verified in three independent ways) and information gain (registration points, rotation automorphisms, field dead points, odd–even lattice structure, and the origin of trivial zeros, none of which is visible in the pure analytic framework). Bilingual PDF (Chinese and English). Supersedes and consolidates the equivalence-construction line of V14 (10.5281/zenodo.20637946).
Lixin(Dirk) Wang (Sat,) studied this question.