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 SIGMA, 2012, Volume 8, 024, 18 pages (Mi sigma701)

Novel possibility of nonstandard statistics in the inflationary spectrum of primordial inhomogeneities

Gabriel Leóna, Daniel Sudarskyb

a Department of Physics, University of Trieste, Strada Costiera 11, 34014 Trieste, Italy
b Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, México D.F. 04510, México

Abstract: Inflation is considered one of the cornerstones of modern cosmology. However, the account of the origin of cosmic structure, as provided by the standard inflationary paradigm, is not fully satisfactory. The fundamental issue is the inability of the usual account to point out the physical mechanism responsible for generating the inhomogeneity and anisotropy of our Universe, starting from the exactly homogeneous and isotropic vacuum state associated with the early inflationary regime. We briefly review this issue here together with the proposal to address this shortcoming in terms of a dynamical collapse of the vacuum state of the inflaton field, which has been considered in previous works. The main goal of this manuscript is to discuss certain statistical aspects associated with the collapse and its implications in the primordial spectrum, particularly those connected with the possible appearance of a novel type of unusual correlations.

Keywords: inflation, cosmology, quantum gravity.

DOI: https://doi.org/10.3842/SIGMA.2012.024

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ArXiv: 1109.0052
MSC: 83F05; 81T20; 81P05
Received: August 31, 2011; in final form April 16, 2012; Published online April 21, 2012
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Citation: Gabriel León, Daniel Sudarsky, “Novel possibility of nonstandard statistics in the inflationary spectrum of primordial inhomogeneities”, SIGMA, 8 (2012), 024, 18 pp.

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\Bibitem{LeoSud12} \by Gabriel Le\'on, Daniel Sudarsky \paper Novel possibility of nonstandard statistics in the inflationary spectrum of primordial inhomogeneities \jour SIGMA \yr 2012 \vol 8 \papernumber 024 \totalpages 18 \mathnet{http://mi.mathnet.ru/sigma701} \crossref{https://doi.org/10.3842/SIGMA.2012.024} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2942815} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000303834500001} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84860871390} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. Diez-Tejedor A., Leon G., Sudarsky D., “The Collapse of the Wave Function in the Joint Metric-Matter Quantization for Inflation”, Gen. Relativ. Gravit., 44:12 (2012), 2965–2988
2. Landau S., Leon G., Sudarsky D., “Quantum Origin of the Primordial Fluctuation Spectrum and its Statistics”, Phys. Rev. D, 88:2 (2013), 023526
3. Sudarsky D., “The Ssc Formalism and the Collapse Hypothesis for Inflationary Origin of the Seeds of Cosmic Structure”, 6th international workshop dice2012 spacetime - matter - quantum mechanics: from the planck scale to emergent phenomena, Journal of Physics Conference Series, 442, eds. Diosi L., Elze H., Fronzoni L., Halliwell J., Prati E., Vitiello G., Yearsley J., IOP Publishing Ltd, 2013
4. Leon G., Sudarsky D., “Origin of Structure: Statistical Characterization of the Primordial Density Fluctuations and the Collapse of the Wave Function”, J. Cosmol. Astropart. Phys., 2015, no. 6, 020
5. Leon G., Bengochea G.R., “Emergence of Inflationary Perturbations in the Csl Model”, Eur. Phys. J. C, 76:1 (2016), 29
6. Mariani M., Bengochea G.R., Leon G., “Inflationary Gravitational Waves in Collapse Scheme Models”, Phys. Lett. B, 752 (2016), 344–351
7. M. Castagnino, S. Fortin, R. Laura, D. Sudarsky, “Interpretations of quantum theory in the light of modern cosmology”, Found. Phys., 47:11 (2017), 1387–1422
8. G. Leon, A. Majhi, E. Okon, D. Sudarsky, “Expectation of primordial gravity waves generated during inflation”, Phys. Rev. D, 98:2 (2018), 023512
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