On random dynamics and layer phase

The example of a non-isotropic U(1) lattice gauge field model exhibits the existence of layer phases. In this phase, the nearness properties (topology) seen by a low energy observer are like that of a layer embedded in the fundamental (or genuine) space of the model. Speculating that what we conceive as our spacetime is such a layer, the authors see hope: for explaining that a random dynamics model can behave as if obeying the principle of locality; of explaining in such a picture why spacetime is 4-dimensional; and that such a model may help in providing a replacement for extended technicolor. (Auth.)