Spacetime quantization induced by classical gravity

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Abstract

We propose spacetime uncertainty relations motivated by Heisenberg's uncertainty principle and by Einstein's theory of classical gravity. Quantum spacetime is described by a non-commutative algebra whose commutation relations do imply our uncertainty relations. We comment on the classical limit and on the first steps towards QFT over QST.

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Research supported by MRST and CNR-GNAFA.

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