1998/04/29 by Mikel Susperregi, Anupam Mazumdar · 14 citations
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Cosmology and Gravitation Theories #Distribution (mathematics) #Exponential function #Gravitation #Inflation (cosmology) #Mathematical analysis #Mathematical physics #Mathematics #Physics #Planck #Planck mass #Quantum mechanics #Sigma #Solar and Space Plasma Dynamics #Statistical physics #Statistics #Stochastic processes and financial applications #Theoretical physics #Value (mathematics) #astro-ph #gr-qc
paper · pdf · doi:10.1103/physrevd.58.083512
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 58(8) (American Physical Society) · 6 pages, 2 figures
arxiv created 1998/04/29 · openalex publication_date 1998/09/22 · arxiv updated 2011/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper we investigate extended inflation with an exponential potential V(\ensuremathσ)=V0e^\ensuremath-\ensuremathκ\ensuremathσ, which provides a simple cosmological scenario where the distribution of the constants of nature is mostly determined by \ensuremathκ. In particular, we show that this theory predicts a uniform distribution for the Planck mass at the end of inflation, for the entire ensemble of universes that undergo stochastic inflation. Eternal inflation takes place in this scenario for a broad family of initial conditions, all of which lead up to the same value of the Planck mass at the end of inflation. The predicted value of the Planck mass is consistent with the observed value within a comfortable range of values of the parameters involved.