Astrophysical Naturalness

Noam Soker*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


I suggest that stars introduce mass and density scales that lead to “naturalness” in the Universe. Namely, two ratios of order unity. 1) The combination of the stellar mass scale, M*(c, ℏ, G, mp, me, e, …), with the Planck mass, MPl, and the Chandrasekhar mass leads to a ratio of order unity that reads (Formula presented.), where mp is the proton mass. 2) A system with a dynamical time equals to the nuclear life times of stars, τnuc*, has a density of (Formula presented.). The ratio of the dark energy density to this density is Nλ* = ρΛD* ≈ 10−7−105. Although the range is large, it is critically much smaller than the 123 orders of magnitude usually referred to when ρΛ is compered to the Planck density. In the pure fundamental particles domain there is no naturalness; either naturalness does not exist or there is a need for a new physics or new particles. The “Astrophysical Naturalness” offers a third possibility: stars introduce the combinations of, or relations among, known fundamental quantities that lead to naturalness.

Original languageEnglish
Article number712544
JournalFrontiers in Astronomy and Space Sciences
StatePublished - 25 Jan 2022
Externally publishedYes


  • Chandrasekhar mass
  • Newtonian gravitational constant
  • Planck constant
  • dark energy
  • stars: fundamental parameters


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