Is Quantum Spacetime Infinite Dimensional ?
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; in particular, following El Naschie, why the observed D=4 world could just be an average dimension over the infinite possible values and why the compactifications from higher to four dimensions in String theory may not be the right thing to do.Keywords
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