Entropic Dynamics: Reconstructing Quantum Field Theory in Curved Space-time

Abstract

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 combined with the covariant methods of Dirac, Hojman, Kuchař, and Teitelboim, which they used to develop a framework for classical covariant Hamiltonian theories. The goal is to formulate an information-based alternative to current approaches based on algebraic quantum field theory. One key ingredient is the adoption of a local notion of entropic time in which instants are defined on curved three-dimensional surfaces and time evolution consists of the accumulation of changes induced by local deformations of these surfaces. The resulting dynamics is a non-dissipative diffusion that is constrained by the requirements of foliation invariance and incorporates the necessary local quantum potentials. As applications of the formalism we derive the Ehrenfest relations for fields in curved-spacetime and briefly discuss the nature of divergences in quantum field theory.

arXiv commentV2 contains added comments on reconstructing QFT, on QFT divergences, various improvements in style, and corrects some typos. V3 contains new section containing applications, including a derivation of the Ehrenfest relations for a quantum scalar field in curved space-time

References in corpus (30)

• Decoherence, the measurement problem, and interpretations of quantum mechanics
• In defense of the epistemic view of quantum states: a toy theory
• Informational derivation of Quantum Theory
• Is the quantum state real? An extended review of $\psi$-ontology theorems
• Quantum from principles
• Introduction to the book "Quantum Theory: Informational Foundations and Foils"
• Quasi-quantization: classical statistical theories with an epistemic restriction
• The completeness of quantum theory for predicting measurement outcomes
• Schrodinger equation from an exact uncertainty principle
• Measurement Analysis and Quantum Gravity
• Origin of Complex Quantum Amplitudes and Feynman's Rules
• The Vacuum Fluctuation Theorem: Exact Schroedinger Equation via Nonequilibrium Thermodynamics
• Entropic Dynamics
• Entropic Dynamics, Time and Quantum Theory
• Consistency, Amplitudes and Probabilities in Quantum Theory
• The Schrodinger Wave Functional and Vacuum States in Curved Spacetime
• Bosonic field equations from an exact uncertainty principle
• Physics Without Physics: The Power of Information-theoretical Principles
• Entropic Dynamics and the Quantum Measurement Problem
• Entropic Quantization of Scalar Fields
• Consistency and Linearity in Quantum Theory
• Quantum theory from the geometry of evolving probabilities
• Information geometry, dynamics and discrete quantum mechanics
• Trading drift and fluctuations in entropic dynamics: quantum dynamics as an emergent universality class
• Insufficient reason and entropy in quantum theory
• Quantum Measurement and Weak Values in Entropic Dynamics
• Entropic Dynamics: from Entropy and Information Geometry to Hamiltonians and Quantum Mechanics
• Momentum and Uncertainty Relations in the Entropic Approach to Quantum Theory
• The Classical Limit of Entropic Quantum Dynamics
• The Entropic Dynamics of Relativistic Quantum Fields

Cited by in corpus (11)

• The Entropic Dynamics approach to Quantum Mechanics
• Entropic dynamics on Gibbs statistical manifolds
• Approach to Data Science with Multiscale Information Theory
• Quantum Scalar Field Theory Based on the Extended Least Action Principle
• Unitary Evolutions Sourced By Interacting Quantum Memories: Closed Quantum Systems Directing Themselves Using Their State Histories
• Entropic Dynamics of Stocks and European Options
• The Entropic Dynamics of Spin
• Entropic Dynamics of Networks
• Entropic dynamics yields reciprocal relations
• Alternative Framework to Quantize Fermionic Fields
• The Entropic Dynamics of Relativistic Quantum Fields in Curved Space-time