2020
DOI: 10.1103/physrevd.102.023537
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Vacuum fluctuation, microcyclic universes, and the cosmological constant problem

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Cited by 22 publications
(35 citation statements)
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“…Note added: After the completion of this work we have became aware 3 of a series of papers in [51][52][53][54] who questioned the assumption of the homogeneity of the spacetime in the presence of the vacuum zero point energy. It was concluded, among other things, that a uniform cosmological constant can not cover the large scale spacetime and the local spacetime is very inhomogeneous as in Wheeler's spacetime foam.…”
Section: Summary and Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…Note added: After the completion of this work we have became aware 3 of a series of papers in [51][52][53][54] who questioned the assumption of the homogeneity of the spacetime in the presence of the vacuum zero point energy. It was concluded, among other things, that a uniform cosmological constant can not cover the large scale spacetime and the local spacetime is very inhomogeneous as in Wheeler's spacetime foam.…”
Section: Summary and Discussionmentioning
confidence: 99%
“…We are grateful to Jerome Martin for bringing to our attention the papers by Unruh and his collaborators[51][52][53][54].…”
mentioning
confidence: 99%
“…With such a review the experimental efforts dedicated to CRE could be prioritized accordingly so that appropriate detection and monitoring algorithms could be developed, including the alerting mechanisms on a sub-threshold level to be analyzed in accordance with the multi-messenger astrophysics strategies. The latter direction gives promising perspectives for new advances in astrophysics, reflected also in the new attention of theorists, also those addressing the questions related to space time structure (see e.g., [146][147][148]) and private interest in discussions (P. Homola's private communication with S. Carlip, Y. J. Ng, and Q. Wang.…”
Section: Uhecr As the Spacetime Structure Probe?mentioning
confidence: 99%
“…In the second part of our work we generalize our treatment to include the effect of quantum spacetime fluctuations. It was very properly pointed in [15] and [16], as well as in some earlier investigations of this topic in [17] and [18], that at small (Planck) scales, one should not take the usual, highly idealized FRWL metric as a justified approximation. In other words, due to the fact that at such scales the spacetime should be expected to wildly fluctuate, it is problematic to analyse the question of cosmological constant in the framework of the large scale FRWL metric, which is assuming homogeneity and isotropicity.…”
Section: Introductionmentioning
confidence: 98%
“…In other words, due to the fact that at such scales the spacetime should be expected to wildly fluctuate, it is problematic to analyse the question of cosmological constant in the framework of the large scale FRWL metric, which is assuming homogeneity and isotropicity. It was argued in [15] and [16] that this fact, implying the usage of a more general metric -containing the quantum fluctuations of both vacuum energy density and spacetime -can explain the cosmological constant problem, since the large value of the cosmological constant can become hidden in the quantum fluctuations (however, note that the proposals made in [15] and [16] for the realization of this idea are quite different in their nature). However, we are here not concerned with the details and potential difficulties of the idea of fluctuating vacuum density, since we will study only the consequences of the fluctuations of the spacetime metric.…”
Section: Introductionmentioning
confidence: 99%