Marcianò 2010 天体物理和宇宙学中曲率和普朗克尺度的效应

主要内容:
对普朗克尺度的一些可能的效应做了推导和综述。
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Title:		Interplay between curvature and Planck-scale effects in astrophysics and cosmology
Authors:		Marcianò, Antonino; Amelino-Camelia, Giovanni; Rossano Bruno, Nicola; Gubitosi, Giulia; Mandanici, Gianluca; Melchiorri, Alessandro
Affiliation:		AA(Dipartimento di Fisica, Università di Roma ``La Sapienza'', and sez. Roma1 INFN, P.le A. Moro 2, 00185 Roma, Italy ; Centre de Physique Théorique de Luminy, case 907, f-13288 Marseille, France ), AB(Dipartimento di Fisica, Università di Roma ``La Sapienza'', and sez. Roma1 INFN, P.le A. Moro 2, 00185 Roma, Italy ), AC(Centro Studi e Formazione sulle Energie Rinnovabili, BNR Energia Srl, Via Costabella 34/36, 00195 Roma, Italy), AD(Dipartimento di Fisica, Università di Roma ``La Sapienza'', and sez. Roma1 INFN, P.le A. Moro 2, 00185 Roma, Italy ), AE(Dipartimento di Fisica, Università di Roma ``La Sapienza'', and sez. Roma1 INFN, P.le A. Moro 2, 00185 Roma, Italy ), AF(Dipartimento di Fisica, Università di Roma ``La Sapienza'', and sez. Roma1 INFN, P.le A. Moro 2, 00185 Roma, Italy )
Publication:		Journal of Cosmology and Astroparticle Physics, Issue 06, pp. 030 (2010). (JCAP Homepage)
Publication Date:		06/2010
Origin:		IOP
DOI:		10.1088/1475-7516/2010/06/030
Bibliographic Code:		2010JCAP...06..030M

Abstract

Several recent studies have considered the implications for astrophysics and cosmology of some possible nonclassical properties of spacetime at the Planck scale. The new effects, such as a Planck-scale-modified energy-momentum (dispersion) relation, are often inferred from the analysis of some quantum versions of Minkowski spacetime, and therefore the relevant estimates depend heavily on the assumption that there could not be significant interplay between Planck-scale and curvature effects. We here scrutinize this assumption, using as guidance a quantum version of de Sitter spacetime with known Inönü-Wigner contraction to a quantum Minkowski spacetime. And we show that, contrary to common (but unsupported) beliefs, the interplay between Planck-scale and curvature effects can be significant. Within our illustrative example, in the Minkowski limit the quantum-geometry deformation parameter is indeed given by the Planck scale, while in the de Sitter picture the parameter of quantization of geometry depends both on the Planck scale and the curvature scalar. For the much-studied case of Planck-scale effects that intervene in the observation of gamma-ray bursts we can estimate the implications of ``quantum spacetime curvature'' within robust simplifying assumptions. For cosmology at the present stage of the development of the relevant mathematics one cannot go beyond semiheuristic reasoning, and we here propose a candidate approximate description of a quantum FRW geometry, obtained by patching together pieces (with different spacetime curvature) of our quantum de Sitter. This semiheuristic picture, in spite of its limitations, provides rather robust evidence that in the early Universe the interplay between Planck-scale and curvature effects could have been particularly significant.

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