Entropy production due to Lorentz invariance violation

It is generally believed that the concept of the spacetime continuum should be modified for distances as small as the Planck length. This is a length scale at which the spacetime might have a discrete structure and quantum gravity effects are dominant. Presumably, the microscopic fluctuations within...

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Bibliographic Details
Published in:Physical review. D 2017-07, Vol.96 (2), Article 024001
Main Authors: Mohammadzadeh, Hosein, Farahmand, Mehrnoosh, Maleki, Mahnaz
Format: Article
Language:English
Subjects:
Codification
Entropy
Invariance
Parameters
Quantum entanglement
Quantum gravity
Quantum mechanics
Quantum phenomena
Relativity
Spacetime
Variation
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Summary:It is generally believed that the concept of the spacetime continuum should be modified for distances as small as the Planck length. This is a length scale at which the spacetime might have a discrete structure and quantum gravity effects are dominant. Presumably, the microscopic fluctuations within the geometry of spacetime should result in an enormous entropy production. In the present work, we look for the effects of Lorentz invariance violation (LIV) in flat and curved backgrounds that can be measured by quantum entanglement and quantum thermodynamic entropies for scalar modes. Our results show that the general behavior of these entropies is the same. We also consider variations of the entropies with respect to LIV and cosmological and field parameters. Using the properties of these entropies, along with detecting the most entangled modes, we extract information about the past existence of LIV, which in turn might be useful in recovering the quantum structure of gravity. Indeed, the occurrence of a peak in the behavior of these entropies for a specific momentum could provide information about the expansion parameters. Moreover, information about the LIV parameter is codified in this peak.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.96.024001