Kinematical Reduction of Spatial Degrees of Freedom and Holographic Relation in Yang's Quantized Space-Time Algebra
| dc.creator | Tanaka, Sho | |
| dc.date | 2007-10-29 | |
| dc.date | 2009-05-02 | |
| dc.date.accessioned | 2026-07-07T13:10:42Z | |
| dc.date.available | 2026-07-07T13:10:42Z | |
| dc.description | We try to find a possible origin of the holographic principle in the Lorentz-covariant Yang's quantized space-time algebra (YSTA). YSTA, which is intrinsically equipped with short- and 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 kinematical reduction of spatial degrees of freedom, compared with the ordinary lattice space. On account of the latter fact, we find a certain kind of kinematical holographic relation in YSTA, which may be regarded as a primordial form of the holographic principle suggested so far in the framework of the present quantum theory that appears now in the contraction limit of YSTA, $λ\to 0$ and $R \to \infty.$ | |
| dc.description | 11pages | |
| dc.identifier | https://arxiv.org/abs/0710.5438 | |
| dc.identifier | http://arxiv.org/abs/0710.5438 | |
| dc.identifier | Found.Phys.39(2009)510 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/229076 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Kinematical Reduction of Spatial Degrees of Freedom and Holographic Relation in Yang's Quantized Space-Time Algebra | |
| dc.type | text |