On Adelic Strings

TL;DR

This paper introduces a novel adelic string framework that incorporates p-adic and adelic structures into world sheet, space-time, and momenta, leading to new amplitude calculations and insights into string discreteness.

Contribution

It formulates a comprehensive adelic string theory approach, including the calculation of the adelic Veneziano amplitude and analysis of string momenta discreteness.

Findings

Adelic Veneziano amplitude computed.

String momenta exhibit discreteness.

Adelic coupling constant equals one.

Abstract

New approach to p-adic and adelic strings, which takes into account that not only world sheet but also Minkowski space-time and string momenta can be p-adic and adelic, is formulated. p-Adic and adelic string amplitudes are considered within Feynman's path integral formalism. The adelic Veneziano amplitude is calculated. Some discreteness of string momenta is obtained. Also, adelic coupling constant is equal to unity.