Quantum mechanics from a Heisenberg-type equality
arXiv:quant-ph/0201084 · doi:10.1002/1521-3978(200205)50:5/7<646::AID-PROP646>3.0.CO;2-7
Abstract
The usual Heisenberg uncertainty relation for position and momentum may be replaced by an exact equality, for suitably chosen measures of position and momentum uncertainty. This "exact" uncertainty relation is valid for_all_ pure states, and is sufficiently strong to provide an axiomatic basis for moving from classical mechanics to quantum mechanics. In particular, the assumption of a nonclassical momentum fluctuation, having a strength which scales inversely with uncertainty in position, leads from the classical equations of motion to the Schroedinger equation.
Latex, 6 pages, contribution to the symposium "100 Years of Werner Heisenberg - Works and Impact" in Bamberg, to appear in Fortschritte der Physik
Cited by in corpus (14)
- Entropic Dynamics
- Entropic Dynamics, Time and Quantum Theory
- Exact uncertainty approach in quantum mechanics and quantum gravity
- Bosonic field equations from an exact uncertainty principle
- Entropic Dynamics: an Inference Approach to Quantum Theory, Time and Measurement
- Weakly nonlocal fluid mechanics - the Schrodinger equation
- Trading drift and fluctuations in entropic dynamics: quantum dynamics as an emergent universality class
- Thermodynamic Gravity and the Schrodinger Equation
- Unique additive information measures - Boltzmann-Gibbs-Shannon, Fisher and beyond
- Quantum Mechanics Based on an Extended Least Action Principle and Information Metrics of Vacuum Fluctuations
- Quantum Scalar Field Theory Based on the Extended Least Action Principle
- Remarks on osmosis, quantum mechanics, and gravity
- The Klein-Gordon equation in Machian model
- Spin Theory Based on the Extended Least Action Principle and Information Metrics: Quantization, Entanglement, and Bell Test With Time Delay