Is Quantum Spacetime Infinite Dimensional ?

TL;DR

The paper proposes that quantum spacetime could be infinite dimensional based on a new relativity principle, challenging traditional compactification in string theory and offering a novel perspective on the cosmological constant problem.

Contribution

It introduces a new relativity principle that suggests quantum spacetime may be infinite dimensional, impacting cosmology and string theory interpretations.

Findings

Numerical argument supporting infinite dimensionality of quantum spacetime.

A simple solution to the cosmological constant problem.

Proposal that observed 4D universe is an average over infinite dimensions.

Abstract

The Stringy Uncertainty relations, and corrections thereof, were explicitly derived recently 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. A simple numerical argument is presented which suggests that Quantum Spacetime may very well be $infinite$ dimensional. A discussion of the repercusions of this new paradigm in Physics is given. A truly remarkably simple and plausible solution of the cosmological constant problem results from the New Relativity Principle : The cosmological constant is $not$ constant, in the same vein that Energy in Einstein's Special Relativity is observer dependent. Finally, following El Naschie, we argue why the observed D=4 world might just be an $average$ dimension over the infinite possible values of the Quantum Spacetime and why the compactification mechanisms from higher to four dimensions in String theory may not be actually the right way to look at the world at Planck scales.