The Planck mass plasma roton solution of the cosmological constant problem

Abstract

The failure by the large hadron collider to detect supersymmetry and the Higgs particle, suggests to replace supersymmetry with another fundamental symmetry, for example the symmetry of the Planck mass plasma where the vacuum is made up by an equal number of positive and negative Planck mass particles. The Planck mass plasma has for each mass component a phonon-roton spectrum and it can explain the observed small positive cosmological constant. The masses of the elementary particles are here explained by the gravitational field energy of pole-dipole particles, which explain Dirac spinors as composed from gravitationally interacting positive and negative masses.

Superdiffusive transport in one-dimensional disordered Dirac model

“…Additionally, to check the obtained results the dependencies, ( ) D t has been calculated also, using (12). For this it is convenient to introduce scalar wavefunction ( ) n ϕ  so, that:…”

“…In the framework of "random masses" model we have considered 1D system with random distribution of positive (m + ) and negative (m − ) masses [11][12][13] m n m n+ and the equation ( 4) can be written in this case as…”