On the three primordial numbers

Roberto Gobbetti*, Enrico Pajer, Diederik Roest

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

Cosmological observations have provided us with the measurement of just three numbers that characterize the very early universe: 1 - n(s), N and ln Delta(2)(R). Although each of the three numbers individually carries limited information about the physics of inflation, one may hope to extract non-trivial information from relations among them. Invoking minimality, namely the absence of ad hoc large numbers, we find two viable and mutually exclusive inflationary scenarios. The first is the well-known inverse relation between 1 - n(s) and N. The second implies a new relation between 1 - n(s) and ln Delta(2)(R), which might provide us with a handle on the beginning of inflation and predicts the intriguing lower bound on the tensor-to-scalar ratio r > 0.006 (95% CL).

Original languageEnglish
Article number058
Number of pages9
JournalJournal of Cosmology and Astroparticle Physics
Volume2015
Issue number9
DOIs
Publication statusPublished - Sept 2015

Funding

We would like to thank Paolo Creminelli, Guido D'Amico, Matthew Kleban, Marjorie Schillo, Gabriele Trevisan, Matias Zaldarriaga and Ivonne Zavala for useful discussions and comments on the draft. E.P. is supported by the D-ITP consortium, a program of the Netherlands organization for scientific research (NWO) that is funded by the Dutch Ministry of Education, Culture and Science (OCW).

Keywords

  • inflation
  • non-gaussianity
  • CMBR theory

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