Novel Possibility of Nonstandard Statistics in the Inflationary Spectrum of Primordial Inhomogeneities
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 r...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2012 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2012
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148416 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Novel Possibility of Nonstandard Statistics in the Inflationary Spectrum of Primordial Inhomogeneities / G. León, D. Sudarsky // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 48 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862575215456813056 |
|---|---|
| author | León, G. Sudarsky, D. |
| author_facet | León, G. Sudarsky, D. |
| citation_txt | Novel Possibility of Nonstandard Statistics in the Inflationary Spectrum of Primordial Inhomogeneities / G. León, D. Sudarsky // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 48 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
|
| first_indexed | 2025-11-26T11:50:24Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148416 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-26T11:50:24Z |
| publishDate | 2012 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | León, G. Sudarsky, D. 2019-02-18T12:04:57Z 2019-02-18T12:04:57Z 2012 Novel Possibility of Nonstandard Statistics in the Inflationary Spectrum of Primordial Inhomogeneities / G. León, D. Sudarsky // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 48 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 83F05; 81T20; 81P05 DOI: http://dx.doi.org/10.3842/SIGMA.2012.024 https://nasplib.isofts.kiev.ua/handle/123456789/148416 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. This paper is a contribution to the Special Issue “Loop Quantum Gravity and Cosmology”. The full collection is available at http://www.emis.de/journals/SIGMA/LQGC.html.
 The work of GL and DS was supported in part by the CONACYT grant No 101712. GL
 acknowledges financial support by CONACYT postdoctoral grant. DS was also supported by
 the PAPIIT-UNAM grant IN107412. We thank the referees for useful suggestions. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Novel Possibility of Nonstandard Statistics in the Inflationary Spectrum of Primordial Inhomogeneities Article published earlier |
| spellingShingle | Novel Possibility of Nonstandard Statistics in the Inflationary Spectrum of Primordial Inhomogeneities León, G. Sudarsky, D. |
| title | Novel Possibility of Nonstandard Statistics in the Inflationary Spectrum of Primordial Inhomogeneities |
| title_full | Novel Possibility of Nonstandard Statistics in the Inflationary Spectrum of Primordial Inhomogeneities |
| title_fullStr | Novel Possibility of Nonstandard Statistics in the Inflationary Spectrum of Primordial Inhomogeneities |
| title_full_unstemmed | Novel Possibility of Nonstandard Statistics in the Inflationary Spectrum of Primordial Inhomogeneities |
| title_short | Novel Possibility of Nonstandard Statistics in the Inflationary Spectrum of Primordial Inhomogeneities |
| title_sort | novel possibility of nonstandard statistics in the inflationary spectrum of primordial inhomogeneities |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148416 |
| work_keys_str_mv | AT leong novelpossibilityofnonstandardstatisticsintheinflationaryspectrumofprimordialinhomogeneities AT sudarskyd novelpossibilityofnonstandardstatisticsintheinflationaryspectrumofprimordialinhomogeneities |