Quantum Cosmology and Tachyons

TL;DR

This paper explores the role of classical and quantum tachyon-driven inflation within various quantum cosmology frameworks, providing exact solutions and proposing an adelic generalization of the model.

Contribution

It introduces a quantum cosmology model based on tachyon matter, calculates its exact propagator, and develops an adelic extension, advancing the understanding of tachyon inflation in quantum cosmology.

Findings

Exact quantum propagator derived for the tachyon model

Vacuum states identified for the quantum cosmology framework

Conditions established for adelic generalization of the model

Abstract

We discuss the relevance of the classical and quantum rolling tachyons inflation in the frame of the standard, p-adic and adelic minisuperspace quantum cosmology. The field theory of tachyon matter proposed by Sen in a zero-dimensional version suggested by Kar leads to a model of a particle moving in a constant external field with quadratic damping. We calculate the exact quantum propagator of the model, as well as, the vacuum states and conditions necessary to construct an adelic generalization.