1 0 M ay 2 00 9 Holographic Relation in Yang ’ s Quantized Space - Time Algebra and Area - Entropy Relation in D 0 Brane Gas System
نویسنده
چکیده
In the preceding paper, we derived a kind of kinematical holographic relation (KHR) in the Lorentzcovariant Yang’s quantized space-time algebra (YSTA). It essentially reflects the fundamental nature of the noncommutative geometry of YSTA and its representation, that is, a definite kinematical reduction of spatial degrees of freedom in comparison with the ordinary lattice space. On the basis of the relation and its extension to various spatial dimensions, we derive a new area-entropy relation in a simple D0 brane gas system subject to YSTA, following the idea of M-theory. Furthermore, we make clear its inner relation with the Bekenstein-Hawking area-entropy relation in connection with Schwarzschild black hole.
منابع مشابه
Kinematical Reduction of Spatial Degrees of Freedom and Holographic Relation in Yang’s Quantized Space-Time Algebra
We try to find a possible origin of the holographic principle in the Lorentzcovariant Yang’s quantized space-time algebra (YSTA). YSTA, which is intrinsically equipped with shortand long-scale parameters, λ and R, gives a finite number of spatial degrees of freedom for any bounded spatial region, providing a basis for divergence-free quantum field theory. Furthermore, it gives a definite kinema...
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