Abstract We propose a “guide” towards quantisation of gravity based on quantum matter in statistical mechanics context. On one hand, model naturally arises from the thermodynamic interpretation horizons Rindler space. other path integral formulation field theory can be interpreted point view mechanics. From these perspectives, and are related to each same way as gas its chemical potential are. ...

We show that several standard associative quantizations can be expressed as cochain module twists in the spirit of Moyal products, at least to O(~), but where the twist element is not a cocycle. This puts such quantisations induced by covariance groups into the setting of our previous work on semiclassicalisation of differential structures where we showed that that noncommutative geometry force...