Holographic Cosmology and Uncertainty Relation

Details Holographic Cosmology and Uncertainty Relation Holographic Cosmology and Uncertainty Relation

2005-02-07

arxiv.org/abs/gr-qc/0502025v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, 4 figures. To appear in the proceedings of 27th Spanish Relativity Meeting: Beyond General Relativity (ERES 2004), Ma

Scientific paper

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.

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