TITLE:
Showing Fjortof’s Theorem Does Not Apply for Defining Instability for Early Universe Thermodynamic Potentials. Asking If Nucleated Particles Result at/before Electro-Weak Era Due to Injection of Matter-Energy at the Big Bang?
AUTHORS:
Andrew Beckwith
KEYWORDS:
Fjortoft Theorem, Thermodynamic Potential, Matter Creation, Higgs Boson
JOURNAL NAME:
Journal of High Energy Physics, Gravitation and Cosmology,
Vol.4 No.1,
January
11,
2018
ABSTRACT: This paper uses the “Fjortoft theorem” for defining necessary conditions for instability. The point is that it does not apply in the vicinity of the big bang. We apply this theorem to what is called by T. Padmanabhan a thermodynamic potential which would become unstable if conditions for the applications of “Fjortoft’s theorem” hold. In our case, there is no instability, so a different mechanism has to be appealed to. In the case of vacuum nucleation, we argue that conditions exist for the nucleation of particles as of the electroweak regime, due to injecting material from a node point, in spacetime. This regime of early universe creation coexists with the failure of applications of “Fjortoft” theorem in such a way as to give necessary and sufficient conditions for matter creation, in a way similar to the Higgs Boson.