13. Asymptotic isotropy

While DM can be asymptotically isotropic, it cannot be microscopically isotropic. The RUCA has a preferred and absolute coordinate system and is definitely non-isotropic. The same is true for the DM system on the very microscopic level; on the other hand there is no doubt that a DM system can be asymptotically isotropic. Nearly all trace of the preferred space-time coordinate sys­tem, its anisotropy, its absolute reference frame and its absolute lengths and times can be totally washed out so as to become relativistically correct as the scale of events moves away from the most microscopic.

One way to see why asymptotic isotropy can be a consequence of a basic conservation law in the DM system is as follows. We know that conserva­tion laws can be a consequence of certain symme­tries. For example, translational invariance leads to conservation of momentum. This concept can be thought of as a two-way street; conservation of momentum implies translational invariance. It is easy to create a cellular automaton rule where the quantity associated with angular momentum is conserved as a consequence of the most basic op­eration of the rule. This microscopic conservation of angular momentum should allow us to derive a version of angular isotropy that is true at some scale above the most microscopic.