Abstract
A new arena for the dynamics of spacetime is proposed, in which the basic quantum variable is the two-point distance on a metric space. The scaling dimension (that is, the Kolmogorov capacity) in the neighborhood of each point then defines in a natural way a local concept of dimension. We study our model in the region of parameter space in which the resulting spacetime is not too different from a smooth manifold.
- Received 25 July 1991
DOI:https://doi.org/10.1103/PhysRevD.45.2033
©1992 American Physical Society