Gravity and Time as Phase Rotation Effects in Complex Space-Time
Abstract
This paper proposes an alternative mathematical formalism for describing gravitational interactions. The core idea is to replace the change in the momentum vector's magnitude with its rotation in the complex plane (using unitary operators). The model demonstrates that gravitational singularities (e.g., in black holes) can be avoided by replacing infinite density with a 90∘ phase transition. Furthermore, the model provides a trigonometric explanation for relativistic time dilation, showing it to be a projection of a state vector rotation.
Fields of Study & Subjects
Relativity and Gravitational Theory
Black Holes and Theoretical Physics
Noncommutative and Quantum Gravity Theories
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 1 January 2026
- Language
- EN
- Document type
- Preprint