COMMENT ⊗   VALID 00002 PAGES
C REC  PAGE   DESCRIPTION
C00001 00001
C00002 00002	Making Fredkin's cellular automaton physics isotropic and relativistically invariant
C00005 ENDMK
C⊗;
Making Fredkin's cellular automaton physics isotropic and relativistically invariant

	Fredkin wants to base physics on a cellular automaton
array.  I suppose this partly some philosophical prejudice in 
favor of finiteness which I don't especially share, but he has
some nice analogs of some of the differential equations of
physics.

	In my mind the trouble with Fredkin's formalisms has always
been that the regular cellular automata he has considered are
non-isotropic in their spacial properties, whereas the observed
universe seems not only to be isotropic but Lorentz invariant as
well.  He can probably approximate isotropy and maybe Lorentz
invariance, but maybe not, and it is certainly a blemish that
space should have non-isotropy that is concealed.

	It occurs to me that there is a possibility of making
a cellular automaton system isotropic and conceivably Lorentz
invariant or general relativistically invariant.  Suppose that
the graph has a stochastic connectivity perhaps even changing
in time.  Its three dimensional character is achieved as Hausdorff
dimension, i.e. the number of cells at graph distance r from
a given cell goes up as r↑3.  If the random process by which
the connectivity is established has no invariant directions, then
isotropy is likely to be achieved.

	Another idea is required for Lorentz or general relativistic
invariance.

This file is CELLUL[S79,JMC] at SU-AI.