Quantum Geometry as a Relational Construct

Abstract

The problem of constructing a quantum theory of gravity is considered from a novel viewpoint. It is argued that any consistent theory of gravity should incorporate a relational character between the matter constituents of the theory. In particular, the traditional approach of quantizing a space-time metric is criticized and two possible avenues for constructing a satisfactory theory are put forward.

14 pages, revtex file. Submitted to MPLA

References in corpus (3)

• Introduction to Modern Canonical Quantum General Relativity
• The generally covariant locality principle -- A new paradigm for local quantum physics
• Loop quantum gravity and light propagation

Cited by in corpus (8)

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• Operational Geometry on de Sitter Spacetime
• Quantum mechanics without spacetime II : noncommutative geometry and the free point particle
• Spacetime granularity from finite-dimensionality of local observable algebras
• A window to quantum gravity phenomena in the emergence of the seeds of cosmic structure