How the New Scale Relativity Theory resolves some quantum paradoxes

It is explicitly shown that within the framework of the New Relativity Theo ry, some Quantum Mechanical Paradoxes like the Einstein Rosen Podolsky and the Black Hole Information Loss, are easily resolved. Such New Relativity T heory requires the introduction of an infinite-dimensional quantum space-ti me as has been shown recently by one of us. This can be viewed as just anot her way of looking at Feynman's path integral Formulation of Quantum Mechan ics. Instead of having an infinite-dimensional Functional integral over all paths, smooth, forwards and backwards: in time, random and Fractal, in a f inite-dimensional space-time, one has a finite number of paths in an infini te-dimensional quantum space-time. We present a few-lines proof why there i s no such thing as an EPR Paradox in this New Relativity theory. The reason is not duc to a superluminal information speed but to a divergent informat ion charge density. In the infinite-dimensional limit, due to the propertie s of gamma functions, the hypervolume enclosed by a D-dim hypersphere, of f inite non-zero radius, shrinks to zero: to a hyperpoint, the infinite-dimen sional analog to a point. For this reason, Information flows through the in finite-dimensional hypersurface of non-zero radius, but zero size, the hype rpoint, in an instant. In this fashion we imbue an abstract mathematical "p oint" with a true physical meaning: it is an entity in infinite dimensions that has zero hypervolume at non-zero radius. A plausible resolution of the Information Loss Paradox in Black Holes is proposed. (C) 2000 Elsevier Sci ence Ltd. All rights reserved.