Gravity’s rainbow: Limits for the applicability of the equivalence principle

Lafrance, Rene; Myers, Robert C.

doi:10.1103/physrevd.51.2584

Cited by 79 publications

(92 citation statements)

References 19 publications

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“…The upshot of it being, that, in applications to quantised gravity-matter systems, the above mentioned emergent spacetime metric depends on the choice of spectral subspace in fast sector. Such dependence of the spacetime metric on the spectral properties of the matter field is commonly referred to as a rainbow metric [56][57][58] , and arises naturally in the context of space adiabatic perturbation theory. The spin-orbit model discussed in section IV provides an idealised, though explicitly realised, testing ground for the solution of the non-commutativity problem, while simultaneously showing the interplay between non-trivial topological properties of the slow sector's phase space and the structure of the total Hamiltonian.…”

Section: Discussionmentioning

confidence: 99%

Coherent states, quantum gravity, and the Born-Oppenheimer approximation. I. General considerations

Stottmeister

Thiemann

2016

Journal of Mathematical Physics

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This article, as the first of three, aims at establishing the (time-dependent) BornOppenheimer approximation, in the sense of space adiabatic perturbation theory, for quantum systems constructed by techniques of the loop quantum gravity framework, especially the canonical formulation of the latter. The analysis presented here fits into a rather general framework, and offers a solution to the problem of applying the usual Born-Oppenheimer ansatz for molecular (or structurally analogous) systems to more general quantum systems (e.g. spin-orbit models) by means of space adiabatic perturbation theory. The proposed solution is applied to a simple, finite dimensional model of interacting spin systems, which serves as a non-trivial, minimal model of the aforesaid problem. Furthermore, it is explained how the content of this article, and its companion, affect the possible extraction of quantum field theory on curved spacetime from loop quantum gravity (including matter fields).

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Section: Discussionmentioning

confidence: 99%

Coherent states, quantum gravity, and the Born-Oppenheimer approximation. I. General considerations

Stottmeister

Thiemann

2016

Journal of Mathematical Physics

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“…When the electric current four-vector is equal to zero, the equations (27)- (30) and (33), (34) can be reduced to the coupled pair of equations for two new potentials U and V , which play in axion electrodynamics the same role as the Debye potentials [35] play in the electrodynamics of Faraday -Maxwell. Let us use the substitutions…”

Section: Key Equationsmentioning

confidence: 99%

“…These models are often discussed in context of the Equivalence Principle and Lorentz violation (see, e.g., [30] - [34] for review and references). Two models: CFJ and WWN, are known to be effectively coinciding, when the pseudovector p i appearing in the first model is proportional to the four-gradient of the pseudoscalar field φ, on which the WWN model is based (e.g., p i = ∇ i φ).…”

Section: On the Mathematical Aspects Of The Problem Of The Axionphotomentioning

confidence: 99%

Axion Electrodynamics and Dark Matter Fingerprints in the Terrestrial Magnetic and Electric Fields

Balakin¹,

Grunskaya²

2013

Reports on Mathematical Physics

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We consider mathematical aspects of the axion electrodynamics in application to the problem of evolution of geomagnetic and terrestrial electric fields, which are coupled by relic axions born in the early Universe and (hypothetically) forming now the cold dark matter. We find axionic analogs of the Debye potentials, well-known in the standard Faraday -Maxwell electrodynamics, and discuss exact solutions to the equations of the axion electrodynamics describing the state of axionically coupled electric and magnetic fields in a spherical resonator Earth-Ionosphere. We focus on the properties of the specific electric and magnetic oscillations, which appeared as a result of the axion-photon coupling in the dark matter environment. We indicate such electric and magnetic field configurations as longitudinal electro-magnetic clusters.

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“…It is worth mentioning that the deflection of light was calculated from an energy dependent metric by Lafrance and Myers in [25], but they used a different metric from that in Eq. (3), which led to an extremely small correction to the deflection angle.…”

Section: Deflection Of Lightmentioning

confidence: 99%

A proposal for testing gravity's rainbow

Ali

Khalil

2015

EPL

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Various approaches to quantum gravity such as string theory, loop quantum gravity and HoravaLifshitz gravity predict modifications of the energy-momentum dispersion relation. Magueijo and Smolin incorporated the modified dispersion relation (MDR) with the general theory of relativity to yield a theory of gravity's rainbow. In this paper, we investigate the Schwarzschild metric in the context of gravity's rainbow. We investigate rainbow functions from three known modified dispersion relations that were introduced by and by MagueijoSmolin in [4]. We study the effect of the rainbow functions on the deflection of light, photon time delay, gravitational red-shift, and the weak equivalence principle. We compare our results with experiments to obtain upper bounds on the parameters of the rainbow functions.

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Gravity’s rainbow: Limits for the applicability of the equivalence principle

Cited by 79 publications

References 19 publications

Coherent states, quantum gravity, and the Born-Oppenheimer approximation. I. General considerations

Coherent states, quantum gravity, and the Born-Oppenheimer approximation. I. General considerations

Axion Electrodynamics and Dark Matter Fingerprints in the Terrestrial Magnetic and Electric Fields

A proposal for testing gravity's rainbow

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