A Covariant Information-Density Cutoff in Curved Space-Time Export

@article{citeulike:5636854, abstract = {In information theory, the link between continuous information and discrete information is established through well-known sampling theorems. Sampling theory explains, for example, how frequency-filtered music signals are reconstructible perfectly from discrete samples. In this Letter, sampling theory is generalized to pseudo-Riemannian manifolds. This provides a new set of mathematical tools for the study of space-time at the Planck scale: theories formulated on a differentiable space-time manifold can be completely equivalent to lattice theories. There is a close connection to generalized uncertainty relations which have appeared in string theory and other studies of quantum gravity.}, archivePrefix = {arXiv}, author = {Kempf, Achim}, citeulike-article-id = {5636854}, citeulike-linkout-0 = {http://arxiv.org/abs/gr-qc/0310035}, citeulike-linkout-1 = {http://arxiv.org/pdf/gr-qc/0310035}, day = {7}, eprint = {gr-qc/0310035}, keywords = {bound, covariant, entropy, geometry, information\_density, information\_theory, pseudo\_riemannian, sampling\_theorems}, month = {Oct}, posted-at = {2009-09-16 19:15:01}, priority = {2}, title = {A Covariant Information-Density Cutoff in Curved Space-Time}, url = {http://arxiv.org/abs/gr-qc/0310035}, year = {2003} }

TY - JOUR ID - citeulike:5636854 L3 - citeulike-article-id:5636854 N2 - In information theory, the link between continuous information and discrete information is established through well-known sampling theorems. Sampling theory explains, for example, how frequency-filtered music signals are reconstructible perfectly from discrete samples. In this Letter, sampling theory is generalized to pseudo-Riemannian manifolds. This provides a new set of mathematical tools for the study of space-time at the Planck scale: theories formulated on a differentiable space-time manifold can be completely equivalent to lattice theories. There is a close connection to generalized uncertainty relations which have appeared in string theory and other studies of quantum gravity. TI - A Covariant Information-Density Cutoff in Curved Space-Time KW - bound KW - covariant KW - entropy KW - geometry KW - information_density KW - information_theory KW - pseudo_riemannian KW - sampling_theorems AU - Kempf, Achim PY - 2003/Oct/07/ UR - http://arxiv.org/abs/gr-qc/0310035 ER -