CHRONAL RADIAN: THE KEY TO THE PHASE POSITION Geometrization of Time in Phase Space
Abstract
A new fundamental quantity is introduced in the paper — the chronal radian χ = φ·τ, where φ is the phase (rad), τ is the local time (s). It is shown that χ is a natural measure of the system's position in phase space, combining the time and angular coordinates. With its help, all the key relations of quantum mechanics and chronal dynamics take on a simple and geometrically illustrative form. E = ħ/τ = ħ·( dφ/dχ), and the probability of synchronization is P ∼ cos²(Δχ/2). The introduction of the chronal radian makes it possible to divert the fundamental field τ from direct attacks by opponents, focusing the discussion on the observed value of χ.
Fields of Study & Subjects
Relativity and Gravitational Theory
Quantum Mechanics and Applications
Advanced Mathematical Theories and Applications
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 15 March 2026
- Language
- EN