Fuzzy spacetime from a null-surface version of GR

Details Fuzzy spacetime from a null-surface version of GR Fuzzy spacetime from a null-surface version of GR

1996-03-29

arxiv.org/abs/gr-qc/9603061v1

Class.Quant.Grav.14:A143-A154,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, LateX, iopl styles (ioplppt.sty, iopl12.sty), amssym.def, amssym.tex. Invited contribution to the Class. Quantum Gra

Scientific paper

10.1088/0264-9381/14/1A/012

The null-surface formulation of general relativity -- recently introduced -- provides novel tools for describing the gravitational field, as well as a fresh physical way of viewing it. The new formulation provides ``local'' observables corresponding to the coordinates of points --- which constitute the spacetime manifold --- in a {\em geometrically defined chart\/}, as well as non-local observables corresponding to lightcone cuts and lightcones. In the quantum theory, the spacetime point observables become operators and the spacetime manifold itself becomes ``quantized'', or ``fuzzy''. This novel view may shed light on some of the interpretational problems of a quantum theory of gravity. Indeed, as we discuss briefly, the null-surface formulation of general relativity provides (local) geometrical quantities --- the spacetime point observables --- which are candidates for the long-sought physical operators of the quantum theory.

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