Weak scale from the maximum entropy principle

Abstract

The theory of multiverse and wormholes suggests that the parameters of the Standard Model are fixed in such a way that the radiation of the S 3 universe at the final stage S 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 Standard Model, we can check whether S rad actually becomes maximum at the observed values. In this paper, we regard S 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 = O(300GeV) when the dimensionless couplings in the Standard Model, that is, the Higgs self coupling, the gauge couplings, and the Yukawa couplings are fixed. Roughly speaking, we find that the weak scale is given bywhere y e is the Yukawa coupling of electron, T BBN is the temperature where the Big Bang Nucleosynthesis starts and M pl is the Planck mass. *

Simple mass estimates for resonance(s) being 6 top + 6 antitop bound states and combinations thereof

“…We could also say, that it means that the universe-vacuum is just at some multiple point, where several phases can coexist, much like one at the triple point for water has coexistence of ice, fluid water, and vapor for a common set of intensive variables, pressure and temperature. There may be no real good derivation or argument for our multiple point principle in spite of the fact, that we and others have publiched some attempts to derive this principle [5,18,19,3,4], but all such arguments would have to involve some influence of the future on the passed,or at least on the coupling constants, and that would make all such derivations of MPP (="Multiple Point Principle") suspicious. The reader should rather take some previous works -even prediction(s) -as well as the results of the present work as empirical evindence for this new law of nature, the" multiple point principle".…”

Weak gravity conjecture, multiple point principle and the standard model landscape

“…[35] for a review and refs. [36][37][38] for its possible interpretations. This principle requires that the parameter of the theory to be tuned so that there are multiple vacua that are degenerate in energy.…”

Natural solution to the naturalness problem: The universe does fine-tuning

“…Therefore, it is necessary to consider a new framework or principle beyond ordinary local field theory. There are many interesting proposals such as the asymptotic safety [5], hidden duality and symmetry [6,7,8], classical conformality [9,10,11,12,13], multiple point criticality principle (MPP) [14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31] and maximum entropy principle [32,33,34,35,36].…”

“…Therefore, its Lorentzian version is inevitably needed to give reliable predictions. In [32,33,34,35], such improvements are actually done. They are essentially based on the multi-local action and the existence of multiverse.…”