Research on the Topological Primitive Mechanism of the Creation Axis and the Novel Topological Computing System

Abstract

AbstractAiming at the industrial and theoretical bottlenecks in the post-Moore era, including limited iteration of traditional discrete computing power, high complexity of large-number operations, low efficiency of cryptographic analysis, and lack of primitive support for mathematical deduction, this paper constructs a fully independent and original topological primitive computing system based on the original PDSM-NT vortex number theory system, with a three-dimensional compact Ricci-flat CY₃ manifold as the geometric substrate. This paper firstly proves that the Creation Axis serves as the unique fixed primitive benchmark for high-dimensional topological fields, number theory distribution rhythms, and symmetric group evolution; prime distribution, zeta function zero-point arrangement, and modular symmetric constraints are all low-dimensional projective representations constrained by the topology of the Creation Axis. Relying on five core mechanisms including Creation Axis symmetric conservation, Z₁₂₀ modular periodic regularization, eight-ridge topological constraint, vortex annihilation bijective correspondence, and critical topological band global collapse, this study breaks the underlying paradigm of traditional discrete computing that relies on discrete iteration, brute-force traversal, and hardware stacking, and establishes a new top-down topological regulation operation logic. The research results show that Creation Axis topological computing achieves order-of-magnitude breakthroughs in large-number factorization, rapid prime deduction, precise zero-point solving on the complex plane, and supercomputing energy consumption optimization, thoroughly eliminating the inherent defects of traditional discrete computing such as high redundancy, high energy consumption, and difficulties in decrypting ultra-large-number encryption. This research not only improves the primitive theoretical system of topological number theory, but also provides a novel underlying theoretical and engineering implementation path for domestically independent and controllable new computing power, high-end information security, quantum computing optimization, and cutting-edge mathematical simulation.