Holographic Foundations of Mathematics: A Unified Approach to Prime Numbers, Quantum Fields, and Topology

This paper proposes a fundamental revision of mathematical structures by integrating number theory, topology, and quantum mechanics into a holographic framework. The key hypothesis is that many unsolved problems in mathematics emerge from an incomplete understanding of the continuous-discrete duality. By formulating a new framework based on quantum field principles, we uncover hidden patterns in prime numbers, partitions, and graph structures.