The Static String

TL;DR

This paper demonstrates that the quantum fluctuations of a static string are equivalent to a free quantum particle, linking static and pulsating string solutions and suggesting a semi-classical approach to quantum mechanics via string theory.

Contribution

It reveals the equivalence of static string quantum fluctuations to a free particle and connects semi-classical quantization of pulsating strings to static strings, proposing a new perspective on quantum mechanics.

Findings

Quantum fluctuation of static string equals that of a free particle

Semi-classical quantization of pulsating strings relates to static strings

Energy of static string acts as a lower bound for pulsating strings

Abstract

In this article the quantum fluctuation of a rigid and static string is reported to be identical to a free quantum particle. Solutions similar to this static string have already been found in the semi-classical quantizaton of pulsating strings, and our results show that the semi-classical quantization of pulsating strings is, in some cases, a perturbation of static strings. We also interpret the energy of the static string as a lower bound for the pulsating string and speculate about a description of quantum mechanics in terms of semi-classical string theory.