The Spatial Genesis of Number and the Law of the Symmetrical Axis: A Complete Geometric Proof of the Riemann Hypothesis

The paper presents a fundamental critique of the contemporary axiomatic approach to number theory and establishes a rigorous spatial-geometric proof concerning the distribution of zeros in the Riemann zeta-function. By defining number as an objective product of spatial dimensionality emerging from a two-dimensional non-curved plane, the author introduces a strict classification into linear (one-dimensional) and quadratic (two-dimensional) numbers. It is demonstrated that the conventional "critical strip" and "critical line" are natural consequences of a 180-degree spatial rotation of the first quadrant around the quadratic axis of symmetry. The non-trivial zeros are deterministically bound to the 0.5 axis due to the geometric balance of symmetrical quadratic sequences, where linear projections completely annihilate each other, rendering the probabilistic and complex-analytic assumptions of the Riemann Hypothesis obsolete by providing its absolute spatial proof.