Entropic Dynamics: from Entropy and Information Geometry to Hamiltonians and Quantum Mechanics

Abstract

Entropic Dynamics is a framework in which quantum theory is derived as an application of entropic methods of inference. There is no underlying action principle. Instead, the dynamics is driven by entropy subject to the appropriate constraints. In this paper we show how a Hamiltonian dynamics arises as a type of non-dissipative entropic dynamics. We also show that the particular form of the "quantum potential" that leads to the Schroedinger equation follows naturally from information geometry.

arXiv comment11 pages. Presented at MaxEnt 2014, the 34th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering (September 21-26, 2014, Amboise, France)

References in corpus (3)

• Entropic Dynamics: an Inference Approach to Quantum Theory, Time and Measurement
• Entropic Quantization of Scalar Fields
• From information to quanta: A derivation of the geometric formulation of quantum theory from information geometry

Cited by in corpus (10)

• Entropic Dynamics
• The Entropic Dynamics approach to Quantum Mechanics
• Entropic Quantization of Scalar Fields
• Trading drift and fluctuations in entropic dynamics: quantum dynamics as an emergent universality class
• Entropic Dynamics: Reconstructing Quantum Field Theory in Curved Space-time
• Geometry from Information Geometry
• Unitary Evolutions Sourced By Interacting Quantum Memories: Closed Quantum Systems Directing Themselves Using Their State Histories
• Entropic Dynamics: Mechanics without Mechanism
• Relational Entropic Dynamics of Particles
• The Entropic Dynamics of Relativistic Quantum Fields in Curved Space-time