Entropic Dynamics

Abstract

Entropic Dynamics is a framework in which dynamical laws are derived as an application of entropic methods of inference. No underlying action principle is postulated. Instead, the dynamics is driven by entropy subject to the constraints appropriate to the problem at hand. In this paper we review three examples of entropic dynamics. First we tackle the simpler case of a standard diffusion process which allows us to address the central issue of the nature of time. Then we show that imposing the additional constraint that the dynamics be non-dissipative leads to Hamiltonian dynamics. Finally, considerations from information geometry naturally lead to the type of Hamiltonian that describes quantum theory.

Invited contribution to the Entropy special volume on Dynamical Equations and Causal Structures from Observations

References in corpus (9)

• The Vacuum Fluctuation Theorem: Exact Schroedinger Equation via Nonequilibrium Thermodynamics
• Entropic Dynamics, Time and Quantum Theory
• Could quantum mechanics be an approximation to another theory?
• Determinism beneath Quantum Mechanics
• Entropic Dynamics: an Inference Approach to Quantum Theory, Time and Measurement
• The Quantum as an Emergent System
• Entropic Quantization of Scalar Fields
• Entropic Dynamics: from Entropy and Information Geometry to Hamiltonians and Quantum Mechanics
• Generalized Galilean Transformations and the Measurement Problem in the Entropic Dynamics Approach to Quantum Theory

Cited by in corpus (19)

• Jacobi Fields on Statistical Manifolds of Negative Curvature
• From Information Geometry to Newtonian Dynamics
• The Entropic Dynamics approach to Quantum Mechanics
• Can chaotic quantum energy levels statistics be characterized using information geometry and inference methods?
• Entropic Dynamics: Reconstructing Quantum Field Theory in Curved Space-time
• Trading drift and fluctuations in entropic dynamics: quantum dynamics as an emergent universality class
• Quantum Measurement and Weak Values in Entropic Dynamics
• Quantum theory as plausible reasoning applied to data obtained by robust experiments
• Exact Renormalization Groups as a form of Entropic Dynamics
• Information geometric complexity of a trivariate Gaussian statistical model
• Geometrodynamics of Information on Curved Statistical Manifolds and its Applications to Chaos
• The Classical Limit of Entropic Quantum Dynamics
• What Is the Temperature? Modern Outlook on the Concept of Temperature
• On the instability of two entropic dynamical models
• From an Entropic Measure of Time to Laws of Motion
• Towards an information description of space-time
• Algebraical Entropy and Arrow of Time
• Consensus between Epistemic Agents is Difficult
• Entropic Dynamics: A hybrid-contextual theory of Quantum Mechanics