On the quantum mechanics of entropic forces

Abstract

It was conjectured thirty years ago that gravity could arise from the entropic re-arrangement of information. In this paper, we offer a set of microscopic quantum models which realize this idea in detail. In particular, we suggest a simple mechanism by which Newton's law of gravity arises from extremization of the free energy of a collection of qubits or oscillators, rather than from the exchange of virtual quanta of a fundamental field. We give both a local and non-local version of the construction, and show how to distinguish a range of these entropic models from ordinary perturbative quantum gravity using existing observations and near-term experiments.

13 + 9 pages, 6 figures

References in corpus (30)

• Cavity Optomechanics
• Thermodynamics of Spacetime: The Einstein Equation of State
• General relativity as an effective field theory: The leading quantum corrections
• A Spin Entanglement Witness for Quantum Gravity
• Tests of the Gravitational Inverse-Square Law
• Bell Inequalities and the Separability Criterion
• Gravitationally-induced entanglement between two massive particles is sufficient evidence of quantum effects in gravity
• Quantum Gravity in Everyday Life: General Relativity as an Effective Field Theory
• Gravitational Dynamics From Entanglement "Thermodynamics"
• AION: An Atom Interferometer Observatory and Network
• Phase shift in atom interferometry due to spacetime curvature
• The QCD phase diagram at nonzero quark density
• Universal Lindblad equation for open quantum systems
• Matter-wave Atomic Gradiometer Interferometric Sensor (MAGIS-100)
• Tabletop experiments for quantum gravity: a user's manual
• A classical channel model for gravitational decoherence
• Sourcing semiclassical gravity from spontaneously localized quantum matter
• Using an atom interferometer to infer gravitational entanglement generation
• Gravity-induced entanglement in optomechanical systems
• Gravitationally induced decoherence vs space-time diffusion: testing the quantum nature of gravity
• What is the Entropy in Entropic Gravity?
• Signatures of the quantum nature of gravity in the differential motion of two masses
• Testing the quantum nature of gravity without entanglement
• Testing quantum superpositions of the gravitational field with Bose-Einstein condensates
• Any consistent coupling between classical gravity and quantum matter is fundamentally irreversible
• Three little paradoxes: making sense of semiclassical gravity
• The weak field limit of quantum matter back-reacting on classical spacetime
• Decoherence-Free Entropic Gravity: Model and Experimental Tests
• Correlated Worldline theory: Structure and Consistency
• A Quantum Model for Entropic Springs