Universal Manifold
Abstract
We construct a geometric and spectral framework for a Universal Manifold whosestructure generates existence across scales. The formulation unifies Riemannian geom-etry, spectral theory, fractal scaling, and nonlinear wave dynamics into a scale-invariantdynamical principle. We define existence as stability of harmonic attractors on a scale-recursive manifold and prove that macroscopic geometry emerges as a coarse-grainedprojection of microscopic spectral data. The result is a mathematical standard con-necting microscopic quantum structure and macroscopic geometric form
Fields of Study & Subjects
Relativity and Gravitational Theory
Advanced Differential Geometry Research
Advanced Mathematical Theories and Applications
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 1 March 2026
- Language
- EN
- Document type
- Preprint