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On the quantization of the Null-Surface formulation of GR

Simonetta Frittelli·Carlos N. Kozameh·Ezra T. Newman·Carlo Rovelli·Ranjeet S. Tate
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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.

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Simonetta Frittelli, Carlos N. Kozameh, Ezra T. Newman, Carlo Rovelli, Ranjeet S. Tate. 1996-12-03. On the quantization of the Null-Surface formulation of GR. https://doi.org/10.1103/physrevd.56.889

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