Holographic Cosmology and Uncertainty Relation
Abstract
It is believed that a primary principle of the theory of quantum gravity is the Holographic Principle according to which a physical system can be described only by degrees of freedom living on its boundary. The generalized covariant formulation of the principle considers the entropy content on truncated light-sheets: light-like hypersurfaces of non-positive expansion orthogonally generated from a boundary. When we construct the truncated light-sheets for cosmological observers we find a general expression for the minimum cosmic time interval from the apparent horizon to verify the holographic prescription; this minimum time is related to quantum effects involved in the entropy computation. Finally, we arrive to the uncertainty relation from the Holographic Principle, which suggests a deep connection between general covariance, entropy bounds and quantum mechanics.
Cite
@article{arxiv.gr-qc/0502025,
title = {Holographic Cosmology and Uncertainty Relation},
author = {M. A. Per and A. Segui},
journal= {arXiv preprint arXiv:gr-qc/0502025},
year = {2007}
}
Comments
6 pages, 4 figures. To appear in the proceedings of 27th Spanish Relativity Meeting: Beyond General Relativity (ERES 2004), Madrid, Spain, 23-25 Sep 2004