The Primordial Mathematical Model of the Bicone–Pyramid Interlayer Region Frontier Definition and In-Depth Investigation of the Four-Dimensional Cosmic Mathematical Architecture

Based on the Primordial Fundamental Unified System of Cosmic Reality (PFUSRC), this paper takes the 45° triple coaxial bicone as the ontological geometric carrier and formally establishes the topological axiomatic system of the primordial interlayer region, constructing the ultimate ontological foundation of mathematics. This paper rigorously proves that all mathematical objects, propositions, structures, and unsolved problems are uniquely determined by the primordial cosmic structure and the four-dimensional spatial layer inhabited by humanity, and are essentially projection phenomena of the primordial interlayer region in the low-dimensional observable space. The fundamental dilemmas plaguing modern mathematics—including the separation of discreteness and continuity, the inherent incompleteness of formal systems, and the longstanding obstruction of top mathematical conjectures—all arise from the lack of recognition of the primordial interlayer region. This paper unifies and explains top mathematical problems including Gödel’s incompleteness theorems, the Riemann hypothesis, P vs NP, and the continuum hypothesis, and provides definitive conclusions at the primordial level. This paper completes the rigid construction of a globally unified framework for mathematics, realizes full closure from the primordial to the explicit, from geometry to number systems, from computation to logic, and marks the ultimate resolution of foundational mathematical problems.