The String Uncertainty Relations follow from the New Relativity Principle

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.

Revised Tex file. 5 pages. Important change of notation for the polymomenta coordinates has been made instead of using misleading wedge products. The Cosmological constant term is included

References in corpus (6)

• Introduction to string field theory
• Is Quantum Spacetime Infinite Dimensional ?
• Hints of a New Relativity Principle from $p$-brane Quantum Mechanics
• Dimensionally Democratic Calculus and Principles of Polydimensional Physics
• Why we live in 3 Dimensions
• An Elementary Derivation of the Black-Hole Area-Entropy Relation in Any Dimension

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• The status and programs of the New Relativity Theory
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