Fixed 4D Topology: Dynamic Spectral Dimension Unified Field Theory
Abstract
A rigorous mathematical framework unifying fractal geometry, spectral theory, modular forms, and algebraic topology through dynamic spectral dimension. Includes four main theory threads: Cantor representation, spectral dimension PDE, modular-fractal correspondence, and fractal arithmetic. Developed using human-AI collaborative methodology: - AI generated all mathematical content, writing, and visualizations - Human provided conceptual direction with limited technical verification - Professional peer review is invited and needed Full transparency and open documentation.
Fields of Study & Subjects
Advanced Mathematical Theories and Applications
Relativity and Gravitational Theory
advanced mathematical theories
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 6 February 2026