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Gravitational dynamics for all tensorial spacetimes carrying predictive, interpretable, and quantizable matter

Gravitational dynamics for all tensorial spacetimes carrying predictive, interpretable, and quantizable matter

Only a severely restricted class of tensor fields can provide classical spacetime geometries, namely those that can carry matter field equations which are predictive, interpretable, and quantizable. These three conditions on matter translate into three corresponding algebraic conditions on the underlying tensorial geometry: the latter must be hyperbolic, time-orientable, and …