On the quantization of the Null-Surface formulation of GR
General Relativity and Quantum Cosmology
2009-10-28 v1
Abstract
We define and discuss various quantum operators that describe the geometry of spacetime in quantum general relativity. These are obtained by combining the Null-Surface Formulation of general relativity, recently developed, with asymptotic quantization. One of the operators defined describes a ``fuzzy'' quantum light cone structure. Others, denoted ``spacetime-point operators'', characterize geometrically-defined physical points. We discuss the interpretation of these operators. This seems to suggest a picture of quantum spacetime as made of ``fuzzy'' physical points. We derive the commutation algebra of the quantum spacetime point operators in the linearization around flat space.
Keywords
Cite
@article{arxiv.gr-qc/9612010,
title = {On the quantization of the Null-Surface formulation of GR},
author = {Simonetta Frittelli and Carlos N. Kozameh and Ezra T. Newman and Carlo Rovelli and Ranjeet S. Tate},
journal= {arXiv preprint arXiv:gr-qc/9612010},
year = {2009}
}
Comments
24 pages, Revtex