Probabilistic Time
Feb, 2010Citations per year
Abstract: (arXiv)
The concept of time emerges as an ordering structure in a classical statistical ensemble. Probability distributions at a given time obtain by integrating out the past and future. We discuss all-time probability distributions that realize a unitary time evolution as described by rotations of the real wave function . We establish a map to quantum physics and the Schr\"odinger equation. Suitable classical observables are mapped to quantum operators. The non-commutativity of the operator product is traced back to the incomplete statistics of the local-time subsystem. Our investigation of classical statistics is based on two-level observables that take the values one or zero. Then the wave functions can be mapped to elements of a Grassmann algebra. Quantum field theories for fermions arise naturally from our formulation of probabilistic time.Note:
- new references, 30 pages
- Probabilistic description of time
- Emergence of quantum mechanics
- Local-time subsystem
- Transfer matrix formalism for periodic probabilities
- algebra: Grassmann
- wave function
- rotation
- Schroedinger equation
- statistics
- unitarity
References(17)
Figures(0)