The String Uncertainty Relations follow from the New Relativity Principle

TL;DR

This paper derives the String Uncertainty Relations and their corrections from the New Relativity Principle, which treats all dimensions equally and posits the Planck scale as the minimal length, unifying string theory concepts.

Contribution

It introduces a novel derivation of stringy uncertainty relations from the New Relativity Principle, linking minimal length to a fundamental symmetry of all dimensions.

Findings

String Uncertainty Relations are derived from the New Relativity Principle.

The Regge spectrum behavior naturally emerges from this principle.

The minimal length scale is fundamental, analogous to the speed of light in relativity.

Abstract

The String Uncertainty Relations have been known for some time as the stringy corrections to the original Heisenberg's Uncertainty principle. In this letter the Stringy Uncertainty relations, and corrections thereof, are explicitly derived from the New Relativity Principle that treats all dimensions and signatures on the same footing and which is based on the postulate that the Planck scale is the minimal length in Nature in the same vein that the speed of light was taken as the maximum velocity in Einstein's theory of Special Relativity. The Regge behaviour of the string's spectrum is also a natural consequence of this New Relativity Principle.