Barotropic FRW cosmologies with a Dirac-like parameter

TL;DR

This paper extends barotropic FRW cosmologies by introducing a Dirac-like parameter, leading to complex Hubble functions that incorporate dissipation and instabilities via supersymmetric methods.

Contribution

It presents a novel extension of FRW cosmologies using Dirac-like parameters, connecting supersymmetry with cosmological dynamics.

Findings

New complex Hubble parameters H_K(eta) are derived and plotted.

The imaginary part of H_K(eta) models dissipation and instabilities.

Comparison with standard Hubble parameter H_0(eta) shows significant differences.

Abstract

Using the known connection between Schroedinger-like equations and Dirac-like equations in the supersymmetric context, we discuss an extension of FRW barotropic cosmologies in which a Dirac mass-like parameter is introduced. New Hubble cosmological parameters H_K(eta) depending on the Dirac-like parameter are plotted and compared with the standard Hubble case H_0(eta). The new H_K(eta) are complex quantities. The imaginary part is a supersymmetric way of introducing dissipation and instabilities in the barotropic FRW hydrodynamics