Supersymmetric Majorana Quantum Cosmologies

Abstract

The Einstein equations for an isotropic and homogeneous Friedmann--Robertson--Walker Universe in the presence of a quintessence scalar field are shown to be described in a unified way, formally identical to the dynamics of a relativistic particle moving on a two--dimensional spacetime. The correct Lagrangian for the system is presented and used to construct a spinor quantum cosmology theory using Breit's prescription. The theory is supersymmetric when written in Majorana representation. The spinor components interact through a potential that unifies spacetime curvature and quintessence. An exact supersymmetric solution for $k=0$ case is exhibited. This quantum cosmology model may be interpreted as a theory of interacting universes.

5 pages

References in corpus (4)

• Dynamics of dark energy
• Quantum cosmology: a review
• Anthropic reasoning in multiverse cosmology and string theory
• Midisuperspace Supersymmetric Quantum Cosmology

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• Supersymmetric relativistic quantum mechanics in time-domain
• Equivalent Hamiltonian approach to quantum cosmology of integrable models
• Correspondence between dark energy quantum cosmology and Maxwell equations
• Fermionic quantum cosmology as a framework for resolving type IV singularities
• Cosmogenesis as symmetry transformation