Real and p-Adic Aspects of Quantization of Tachyons

TL;DR

This paper explores the classical and quantum models of tachyon matter, focusing on p-adic path integral quantization and discussing potential adelic generalizations to advance understanding of tachyon phenomena.

Contribution

It introduces a simplified tachyon model and applies p-adic path integral quantization, proposing a perturbative approach and discussing adelic extensions.

Findings

p-adic analysis offers new insights into tachyon quantization

A perturbative p-adic path integral approach is proposed

Discussion of adelic generalization for tachyon investigation

Abstract

A simplified model of tachyon matter in classical and quantum mechanics is constructed. p-Adic path integral quantization of the model is considered. Recent results in using p-adic analysis, as well as perspectives of an adelic generalization, in the investigation of tachyons are briefly discussed. In particular, the perturbative approach in path integral quantization is proposed.