Quantization of the null-surface formulation of general relativity

Simonetta Frittelli, Carlos N. Kozameh, Ezra T. Newman, Carlo Rovelli, and Ranjeet S. Tate
Phys. Rev. D 56, 889 – Published 15 July 1997
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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.

  • Received 17 October 1996

DOI:https://doi.org/10.1103/PhysRevD.56.889

©1997 American Physical Society

Authors & Affiliations

Simonetta Frittelli1, Carlos N. Kozameh2, Ezra T. Newman1, Carlo Rovelli1, and Ranjeet S. Tate1

  • 1Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260
  • 2FaMAF, Universidad Nacional de Córdoba, 5000 Córdoba, Argentina

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Vol. 56, Iss. 2 — 15 July 1997

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