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arXiv · 1608.02906

Curving Flat Space-Time by Deformation Quantization?

Albert Much
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Abstract

We use a deformed differential structure to obtain a curved metric by a deformation quantization of the flat space-time. In particular, by setting the deformation parameters to be equal to physical constants we obtain the Friedmann-Robertson-Walker (FRW) model for inflation and a deformed version of the FRW space-time. By calculating classical Einstein-equations for the extended space-time we obtain non-trivial solutions. Moreover, in this framework we obtain the Moyal-Weyl, i.e. a constant non-commutative space-time, by a consistency condition.

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Albert Much. 2016-08-09. Curving Flat Space-Time by Deformation Quantization?. https://doi.org/10.1063/1.4995820

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