Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1996-12-03
Phys.Rev. D56 (1997) 889-907
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
24 pages, Revtex
Scientific paper
10.1103/PhysRevD.56.889
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.
Frittelli Simonetta
Kozameh Carlos N.
Newman Ezra Ted
Rovelli Carlo
Tate Ranjeet S.
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