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Cited by 18Particle physics theoretical and experimental studiesCosmology and Gravitation TheoriesAdvanced Mathematical Theories and Applications

Weak scale from the maximum entropy principle

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Hamada, Y., Kawai, H., Kawana, K.·2015·Progress of Theoretical and Experimental Physics
DOI 10.1093/ptep/ptv011
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Abstract

The theory of the multiverse and wormholes suggests that the parameters of the Standard Model (SM) are fixed in such a way that the radiation of the |$S^{3}$| universe at the final stage |$S_{\rm rad}$| becomes maximum, which we call the maximum entropy principle. Although it is difficult to confirm this principle generally, for a few parameters of the SM, we can check whether |$S_{\rm rad}$| actually becomes maximum at the observed values. In this paper, we regard |$S_{\rm rad}$| at the final stage as a function of the weak scale (the Higgs expectation value) |$v_{h}$|⁠, and show that it becomes maximum around |$v_{h} = {\mathcal {O}} (300\,{\rm GeV})$| when the dimensionless couplings in the SM, i.e., the Higgs self-coupling, the gauge couplings, and the Yukawa couplings are fixed. Roughly speaking, we find that the weak scale is given by |$v_{h} \sim T_{BBN}^{2} / (M_{pl}y_{e}^{5})$|⁠, where |$y_{e}$| is the Yukawa coupling of electron, |$T_{\rm BBN}$| is the temperature at which the Big Bang nucleosynthesis starts, and |$M_{\rm pl}$| is the Planck mass.

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  • In the Lorentzian approach of Kawai and Okada and Hamada et al., the density matrix ρ describing our large universe peaks at vanishing cosmological constant, as in Coleman's mechanism, albeit with a much milder power-law dependence.

    “Under these assumptions, it is argued that the density matrix ρ peaks at vanishing cosmological constant, as in Coleman's mechanism, albeit with a much milder power-law dependence.”

    From Euclidean Wormholes, Baby Universes, and Their Impact on Particle Physics and Cosmology (2018) · cites this paper as Hamada et al., 2015

  • Reinterpretations of Coleman's mechanism have recently been explored in the context of the cosmological constant and other fine tuning problems of the Standard Model.

    “Nevertheless, reinterpretations of Coleman's mechanism have recently been explored in the context of the cosmological constant and other fine tuning problems of the Standard Model (Kawai andOkada, 2011, 2012;Hamada et al., 2014Hamada et al., , 2015)).”

    From Euclidean Wormholes, Baby Universes, and Their Impact on Particle Physics and Cosmology (2018) · cites this paper as Hamada et al., 2015

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Authors
Hamada, Y., Kawai, H., & Kawana, K.
Affiliations
Kyoto University (JP)
Corresponding author
  • Hamada, Y.
  • Kawai, H.
  • Kawana, K.
ORCID
Hamada, Y.
Venue
Progress of Theoretical and Experimental Physics
Publisher
Oxford University Press (OUP)
Published
2015-03-19
Volume
2015
Issue
3
Pages
33B06-0
ISSN
2050-3911 (ISSN-L)
DOI
10.1093/ptep/ptv011
OpenAlex
W2131371970
Cited by
18
References
11
Citations by year
2024: 1 · 2022: 4 · 2021: 1 · 2018: 2 · 2017: 2 · 2016: 2 · 2015: 6
FWCI
2.00
Type
journal article
Language
en
Open access
Licence
cc-by
Locations
  • Progress of Theoretical and Experimental Physics (publishedVersion, cc-by)
  • arXiv (Cornell University) (submittedVersion)
  • arXiv (Cornell University)
Funders
Japan Society for the Promotion of Science (251107, 22540277, 13J01107)
Topics
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Mathematical Theories and Applications
Keywords
weak scaling, maximum entropy principle, multiverse, wormholes, radiation entropy, Higgs self-coupling, Yukawa couplings, gauge coupling, big bang nucleosynthesis, electron Yukawa coupling, Planck mass

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