2-state asymmetries: Matter–antimatter and other effects

Abstract

This paper is based on the framework of a two dimensional universe considering it to be a lattice structure. The Ising model has been used to show that there is a spontaneous phase transition from the Planck scale to the Compton scale. Also, a mean field theoretic approach has been considered to delve into the statistical properties of such a lattice-structured universe. All this answers questions like matterantimatter asymmetry. *

The zitterbewegung region

“…As we discussed previously, it was shown by the author Sidharth [14,15] that the in the I-region the negative energy solutions dominate whereas in case of the E-region the positive energy solutions dominate. This feature of the I-region was also discussed recently [12] from the context of an Ising-like model.…”

“…Apart from the previous papers by Sidharth, in some other papers [8,9,10] it was found that there is indeed a transition from the Planck scale to the Compton scale, from whence we have the coherence length or coherence parameter [11,12] as…”

Topological structure of the vacuum, cosmological constant and dark energy

“…A general theory of the phase transition from the one type lattice structure to the another type, in particular, from the Planck scale lattice with sites φ p to the Compton scale lattice with sites φ c , was developed in Refs. [39,40]. Previously it has been proved that the phase transition from the Planck scale phase to the Compton scale (EW) phase is similar to the Landau-Ginzburg phase transition [41].…”