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Related papers: Entropic Dynamics: Mechanics without Mechanism

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Entropy is the distinguishing and most important concept of our efforts to understand and regularize our observations of a very large class of natural phenomena, and yet, it is one of the most contentious concepts of physics. In this…

Quantum Physics · Physics 2007-05-23 Elias P. Gyftopoulos

Entropic dynamics (ED) is a framework that allows one to derive quantum theory as a Hamilton-Killing flow on the cotangent bundle of a statistical manifold. These flows are such that they preserve the symplectic and the (information) metric…

Quantum Physics · Physics 2025-11-25 Ariel Caticha

The formulation of quantum mechanics within the framework of entropic dynamics is extended to the domain of relativistic quantum fields. The result is a non-dissipative relativistic diffusion in the infinite dimensional space of field…

Quantum Physics · Physics 2015-06-12 Ariel Caticha

The Entropic Dynamics reconstruction of quantum mechanics is extended to quantum field theory in curved space-time. The Entropic Dynamics framework, which derives quantum theory as an application of the method of maximum entropy, is…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Selman Ipek , Mohammad Abedi , Ariel Caticha

Non-relativistic quantum theory is derived from information codified into an appropriate statistical model. The basic assumption is that there is an irreducible uncertainty in the location of particles: positions constitute a configuration…

Quantum Physics · Physics 2015-05-13 Ariel Caticha

Entropic Dynamics (ED) is an inference-based framework that seeks to construct dynamical theories of physics without assuming the conventional formalism --- the Hamiltonians, Poisson brackets, Hilbert spaces, etc. --- typically associated…

Quantum Physics · Physics 2018-02-13 Selman Ipek

Different notions of entropy play a fundamental role in the classical theory of dynamical systems. Unlike many other concepts used to analyze autonomous dynamics, both measure-theoretic and topological entropy can be extended quite…

Dynamical Systems · Mathematics 2017-08-03 Christoph Kawan

Here we present the entropic dynamics formalism for networks. That is, a framework for the dynamics of graphs meant to represent a network derived from the principle of maximum entropy and the rate of transition is obtained taking into…

Physics and Society · Physics 2021-04-29 Felipe Xavier Costa , Pedro Pessoa

The Bell-KS theorem and the more recent $\psi$-epistemic \emph{no-go} theorems of QM are discussed in the context of Entropic Dynamics. In doing so we find that the Bell-KS theorem allows for, a perhaps overlooked, hybrid-contextual model…

Quantum Physics · Physics 2017-12-05 Kevin Vanslette

This contribution analyses the classical laws of motion by means of an approach relating time and entropy. We argue that adopting the notion of change of states as opposed to the usual derivation of Newton's laws in terms of fields a…

General Physics · Physics 2007-06-19 R Assumpcao

Entropic Dynamics (ED) is a framework for constructing dynamical theories of inference using the tools of inductive reasoning. A central feature of the ED framework is the special focus placed on time. In previous work a global entropic…

General Relativity and Quantum Cosmology · Physics 2018-03-19 Selman Ipek , Mohammad Abedi , Ariel Caticha

Entropic forces result from an increase of the entropy of a thermodynamical physical system. It has been proposed that gravity is such a phenomenon and many articles have appeared on the literature concerning this problem. Loop quantum…

General Relativity and Quantum Cosmology · Physics 2015-02-20 J. Manuel Garcia-Islas

The general framework of entropic dynamics is used to formulate a relational quantum dynamics. The main new idea is to use tools of information geometry to develop an entropic measure of the mismatch between successive configurations of a…

Quantum Physics · Physics 2016-01-11 Selman Ipek , Ariel Caticha

Thermodynamics is commonly presented as a theory of macroscopic systems in stable equilibrium, built upon assumptions of extensivity and scaling with system size. In this paper, we present a universal formulation of the elementary…

Quantum Physics · Physics 2026-03-26 Gian Paolo Beretta

In the Entropic Dynamics (ED) approach to quantum theory the particles have well-defined positions but since they follow non differentiable Brownian trajectories they cannot be assigned an instantaneous momentum. Nevertheless, four…

Quantum Physics · Physics 2015-05-30 Shahid Nawaz , Ariel Caticha

Newtonian dynamics is derived from prior information codified into an appropriate statistical model. The basic assumption is that there is an irreducible uncertainty in the location of particles so that the state of a particle is defined by…

Classical Physics · Physics 2009-05-27 Ariel Caticha , Carlo Cafaro

Entropic Dynamics (ED) provides a framework that allows the reconstruction of the quantum formalism by insisting on ontological and epistemic clarity and adopting entropic methods and information geometry. Our present goal is to extend the…

Quantum Physics · Physics 2025-03-03 Ariel Caticha

Dynamics, the study of change, is normally the subject of mechanics. Whether the chosen mechanics is ``fundamental'' and deterministic or ``phenomenological'' and stochastic, all changes are described relative to an external time. Here we…

Mathematical Physics · Physics 2009-10-31 Ariel Caticha

Entropic Dynamics (ED) is a framework that allows the formulation of dynamical theories as an application of entropic methods of inference. In the generic application of ED to derive the Schroedinger equation for N particles the dynamics is…

Quantum Physics · Physics 2016-04-20 Daniel Bartolomeo , Ariel Caticha

A universal framework is proposed, where all laws are regularities of relations between things or agents. Parts of the world at one or all times are modeled as networks called SYSTEMS with a minimum of axiomatic properties. A notion of…

High Energy Physics - Theory · Physics 2009-10-31 Gerhard Mack