On the quantization of the Null-Surface formulation of GR

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.

24 pages, Revtex

References in corpus (1)

• The quantum structure of spacetime at the Planck scale and quantum fields

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• Scattering theory with matter fields of classical gravitons in the null surface formulation