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arXiv · 1401.0673

Emergence of Riemannian geometry and the massive graviton

Shahn Majid
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Abstract

We overview a new mechanism whereby classical Riemannian geometry emerges out of the differential structure on quantum spacetime, as extension data for the classical algebra of differential forms. Outcomes for physics include a new formula for the standard Levi-Civita connection, a new point of view of the cosmological constant as a very small mass for the graviton of around $10^{-33}$ev, and a weakening of metric-compatibility in the presence of torsion. The same mechanism also provides a new construction for quantum bimodule connections on quantum spacetimes and a new approach to the quantum Ricci tensor.

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Shahn Majid. 2013-12-31. Emergence of Riemannian geometry and the massive graviton. https://doi.org/10.1051/epjconf/20147100080

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