  By quantising the gravitational dynamics, space and time are usually forced
to play fundamentally different roles. This raises the question whether
physically relevent configurations could also exist which would not admit
space-time-splitting. This has led to the investigation of an approach not
based on quantum dynamical assumptions. The assumptions are mainly restricted
to a constrained statistical concept of ordered partitions (NDA). For the time
being, the continuum description is restricted in order to allow the
application of the rules of differential geometry. It is verified that NDA
yields equations of the same form as general relativity and quantum field
theory for 3+1 dimensions and within the limits of experimental evidence. The
derivations are shown in detail. First results are compared to the path
integral approach to quantum gravity.
