Holographic Relation in Yang's Quantized Space-Time Algebra and Area-Entropy Relation in $D_0$ Brane Gas System

dc.creatorTanaka, Sho
dc.date2009-05-10
dc.date.accessioned2026-07-07T13:13:34Z
dc.date.available2026-07-07T13:13:34Z
dc.descriptionIn the preceding paper, we derived a kind of kinematical holographic relation (KHR) in the Lorentz-covariant 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 $D_0$ 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.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0905.1446
dc.identifierhttp://arxiv.org/abs/0905.1446
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229928
dc.subjectHigh Energy Physics - Theory
dc.titleHolographic Relation in Yang's Quantized Space-Time Algebra and Area-Entropy Relation in $D_0$ Brane Gas System
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