P=NP via Categorical Self-Reference Separation
Abstract
We prove P≠NP by establishing that self-referential view-vectors vii (required for NP search) are categorically distinct from external observation vij (i≠j, sufficient for P verification). No finite composition of vij-operations can produce the fixed-point attractor structure of vii. This categorical separation is formalized via self-reference depth: Depth(vij)=0 vs Depth(vii)=1, preserved under composition. We close the previous gap (formal rigorosit of vii≠vij) by proving this separation as a structural theorem in view-vector networks, grounded in Coherent Complexity Theory (CCT). The proof establishes P≠NP not as a computational limitation but as a fundamental type distinction in measurement processes.
Fields of Study & Subjects
Neural Networks and Applications
Neural Networks and Reservoir Computing
Topological and Geometric Data Analysis
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 7 April 2026
- Document type
- Preprint