Unitary Invariance Formalism: Scale Unification through the Tautology of the Global Density Operator \Omega
Abstract
We propose a topological solution to the hierarchy problem and the observer effect by defining reality as an invariant trace over a closed holographic manifold. By introducing the Logos Density Operator (L) as a fundamental information-density field, we demonstrate that gravitational and quantum interactions are self-consistent projections of a single unitary identity. The model concludes that the total information density Ω is an absolute constant, expressed as Ω ≡ 1, satisfying the principle of tautological identity in closed systems.
Fields of Study & Subjects
Relativity and Gravitational Theory
Black Holes and Theoretical Physics
Advanced Mathematical Theories and Applications
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 16 February 2026
- Language
- EN
- Document type
- Preprint