Weak scale from the maximum entropy principle

syaikh asy-syanqithi;

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 S3 universe at the final stage Srad 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 Srad actually becomes maximum at the observed values. In this paper, we regard Srad at the final stage as a function of the weak scale (the Higgs expectation value) vh, and show that it becomes maximum around vh = O(300 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 vh ∼ T 2 BBN/(Mpl y5 e ), where ye is the Yukawa coupling of electron, TBBN is the temperature at which the Big Bang nucleosynthesis starts, and Mpl is the Planck mass.