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Stochastic Emergent Quantum Gravity
General Relativity and Quantum Cosmology · Submitted 18 Jul 2018
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We provide evidence that stochasticity associated with critical points of clock and ruler fields can be related to the emergence of both a probabilistic description consistent with ordinary quantum theory, and gravitation described by general relativity at long distances.
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The abstract, sentence by sentence
We present a stochastic framework for emergent quantum gravity coupled to matter. The Hamiltonian constraint in diffeomorphism-invariant theories demands the identification of a clock relative to which dynamics may be defined, and other degrees of freedom can play the role of rulers. However, a global system of clock and rulers is generally not available. We provide evidence that stochasticity associated with critical points of clock and ruler fields can be related to the emergence of both a probabilistic description consistent with ordinary quantum theory, and gravitation described by general relativity at long distances. We propose a procedure for embedding any Lorentz-invariant field theory, including the Standard Model and its Lorentz-invariant extensions, in this framework.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We present a stochastic framework for emergent quantum gravity coupled to matter. | contribution 1.00 | 0.92 | 0.09 | asserted 0.98 |
| s1 | The Hamiltonian constraint in diffeomorphism-invariant theories demands the identification of a clock relative to which dynamics may be defined, and other degrees of freedom can play the role of rulers. | background 1.00 | 0.07 | 0.04 | asserted 0.77 |
| s2 | However, a global system of clock and rulers is generally not available. | background 0.65 | 0.07 | 0.03 | asserted 0.92 |
| s3 | We provide evidence that stochasticity associated with critical points of clock and ruler fields can be related to the emergence of both a probabilistic description consistent with ordinary quantum theory, and gravitation described by general relativity at long distances. | result 0.81 | 0.88 | 0.83 | hedged possibility 0.54 |
| s4 | We propose a procedure for embedding any Lorentz-invariant field theory, including the Standard Model and its Lorentz-invariant extensions, in this framework. | contribution 0.60 | 0.66 | 0.09 | asserted 0.69 |
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The paper
Original abstract
We present a stochastic framework for emergent quantum gravity coupled to matter. The Hamiltonian constraint in diffeomorphism-invariant theories demands the identification of a clock relative to which dynamics may be defined, and other degrees of freedom can play the role of rulers. However, a global system of clock and rulers is generally not available. We provide evidence that stochasticity associated with critical points of clock and ruler fields can be related to the emergence of both a probabilistic description consistent with ordinary quantum theory, and gravitation described by general relativity at long distances. We propose a procedure for embedding any Lorentz-invariant field theory, including the Standard Model and its Lorentz-invariant extensions, in this framework.
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How the literature uses it
5 arXiv papers cite this in 8 sentences
Papers citing it · 5 sentences without a confident label
Cites it as background 2 papers
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The basic framework was proposed in earlier work [ref] .
Predictions of Stochastic Composite Gravity · Introduction · 0.92
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The suggestion that quantum gravity might arise from a definition of quantum field theory in terms of stochastic processes is not novel [ref] , but to the author's knowledge this is the first concrete realization of the paradigm in a composite gravity setting.
A First Analysis of Stochastic Composite Gravity · Introduction · 0.80
What it cites · 16 sentences without a confident label
Cites as support 3 papers
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In those models, quantization was shown to give rise to scattering amplitudes that include long-range gravitational interactions consistent with general relativity [ref] , including gravitational self-interactions [ref] .
Emergent Gravity from Vanishing Energy-Momentum Tensor · Introduction · 0.99
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In those models, quantization was shown to give rise to scattering amplitudes that include long-range gravitational interactions consistent with general relativity [ref] , including gravitational self-interactions [ref] .
Curved Backgrounds in Emergent Gravity · Introduction · 0.99
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In those models, quantization was shown to give rise to scattering amplitudes that include long-range gravitational interactions consistent with general relativity [ref] , including gravitational self-interactions [ref] .
Composite graviton self-interactions in a model of emergent gravity · Introduction · 0.99
Cites as background 9 papers
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This difficulty is referred to as the global problem of time [ref] .
Chaos, Dirac observables and constraint quantization · Introduction · 0.93
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Such a Machian view of dynamics has been embraced as a cornerstone of the search for a background-independent quantum theory of gravity by Barbour [ref] , Page and Wootters [ref] , Smolin [ref] , Rovelli [ref] and others.
The Definition of Mach's Principle · Introduction · 0.82
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Here we call such models induced emergent gravity models to distinguish them from other varieties of emergent gravity scenarios such as those based on the AdS/CFT correspondence [ref] , entropic gravity [ref] and ideas suggesting entanglement as an origin of spacetime [ref] ; and also to distinguish these models from Sakharov's original discussions of induced gravity in which gravitation was semiclassical rather than quantum [ref] .
Building up spacetime with quantum entanglement · Stochastic Field Theory and Emergent Gravity · 0.94
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