Quantization from an exponential distribution of infinitesimal action

Abstract

A statistical model of quantization based on an exponential distribution of infinitesimal action is proposed. Trajectory which does not extremize the action along an infinitesimal short segment of path is allowed to occur with a very small probability following an exponential law. Planck constant is argued to give the average deviation from the infinitesimal stationary action.

arXiv comment15 pages, accepted for publication in Physica A

References in corpus (16)

• Quantum Equilibrium and the Origin of Absolute Uncertainty
• Non-Commutative Quantum Mechanics
• Grounding Bohmian Mechanics in Weak Values and Bayesianism
• On the quantum origin of the seeds of cosmic structure
• Schrodinger equation from an exact uncertainty principle
• Inflationary Cosmology as a Probe of Primordial Quantum Mechanics
• Quantum Theory from Quantum Gravity
• The Vacuum Fluctuation Theorem: Exact Schroedinger Equation via Nonequilibrium Thermodynamics
• Statistical Origin of Quantum Mechanics
• Emergent Quantum Mechanics and Emergent Symmetries
• Information Measures for Inferring Quantum Mechanics
• On a heuristic point of view concerning the motion of matter. From random metric to Schroedinger equation
• Quantization from Hamilton-Jacobi theory with a random constraint
• Quantum fluctuations as deviation from classical dynamics of ensemble of trajectories parameterized by unbiased hidden random variable
• A Physical Axiomatic Approach to Schrodinger's Equation
• Possible corrections to quantum mechanical predictions in hidden variable model

Cited by in corpus (5)

• Quantum fluctuations from a local-causal information dynamics
• Quantum dynamics and kinematics from a statistical model selected by the principle of Locality
• No-signaling non-unitary modification of quantum dynamics within a deterministic model of quantization
• Is nonlocality responsible for the violation of Bell's inequalities?
• A stochastic model for quantum measurement