dorsal/arxiv
View SchemaOn M Theory, Quantum Paradoxes and the New Relativity
| Authors | Carlos Castro, Alex Granik |
|---|---|
| Categories | |
| ArXiv ID | physics/0002019 |
| URL | https://arxiv.org/abs/physics/0002019 |
Abstract
Recently a New Relativity Principle has been proposed by one of the authors as the underlying physical and geometrical foundations of String and {\bf M} Theory. It is explicitly shown that within the framework of the New Relativity Theory, some Quantum Mechanical Paradoxes like the Einstein-Rosen Podolsky and the Black Hole Information Loss, are easily resolved. Such New Relativity Theory requires the introduction of an Infinite Dimensional Quantum Spacetime as has been shown recently by one of us. This can be viewed as just another way of looking at Feynman's path integral formulation of Quantum Mechanics. Instead of having an infinite dimensional funcional integral over $all$ paths, smooth, forwards and backwards in time, random and fractal, in a finite-dimensional spacetime, one has a finite number of paths in an Infinite Dimensional Quantum Spacetime. We present a few-lines proof why there is no such a thing as an {\bf EPR} Paradox in this New Relativity theory. The reason is {\bf not} due to a superluminal information speed but to a {\bf divergent} information charge density. In the infinite dimensional limit, due to the properties of gamma functions, the hypervolume enclosed by a $D$-dim hypersphere, of finite nonzero radius, shrinks to zero : to a {\bf hyperpoint}, the infinite-dimensional analog af a point. For this reason, Information flows through the infinite-dimensional hypersurface of nonzero radius, but zero size, the hyperpoint, in an instant. In this fashion we imbue an abstract mathematical "point" with a true physical meaning : it is an entity in infinite dimensions that has zero hypervolume at nonzero radius . A plausible resolution of the Information Loss Paradox in Black Holes is proposed.
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"abstract": "Recently a New Relativity Principle has been proposed by one of the authors\nas the underlying physical and geometrical foundations of String and {\\bf M}\nTheory. It is explicitly shown that within the framework of the New Relativity\nTheory, some Quantum Mechanical Paradoxes like the Einstein-Rosen Podolsky and\nthe Black Hole Information Loss, are easily resolved. Such New Relativity\nTheory requires the introduction of an Infinite Dimensional Quantum Spacetime\nas has been shown recently by one of us. This can be viewed as just another way\nof looking at Feynman\u0027s path integral formulation of Quantum Mechanics. Instead\nof having an infinite dimensional funcional integral over $all$ paths, smooth,\nforwards and backwards in time, random and fractal, in a finite-dimensional\nspacetime, one has a finite number of paths in an Infinite Dimensional Quantum\nSpacetime. We present a few-lines proof why there is no such a thing as an {\\bf\nEPR} Paradox in this New Relativity theory. The reason is {\\bf not} due to a\nsuperluminal information speed but to a {\\bf divergent} information charge\ndensity. In the infinite dimensional limit, due to the properties of gamma\nfunctions, the hypervolume enclosed by a $D$-dim hypersphere, of finite nonzero\nradius, shrinks to zero : to a {\\bf hyperpoint}, the infinite-dimensional\nanalog af a point. For this reason, Information flows through the\ninfinite-dimensional hypersurface of nonzero radius, but zero size, the\nhyperpoint, in an instant. In this fashion we imbue an abstract mathematical\n\"point\" with a true physical meaning : it is an entity in infinite dimensions\nthat has zero hypervolume at nonzero radius . A plausible resolution of the\nInformation Loss Paradox in Black Holes is proposed.",
"arxiv_id": "physics/0002019",
"authors": [
"Carlos Castro",
"Alex Granik"
],
"categories": [
"physics.gen-ph"
],
"title": "On M Theory, Quantum Paradoxes and the New Relativity",
"url": "https://arxiv.org/abs/physics/0002019"
},
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