On Thursday, January 23, 2020 at 5:56:08 PM UTC-6, John Clark wrote: > > On Thu, Jan 23, 2020 at 6:35 PM Bruce Kellett <[email protected] > <javascript:>> wrote: > > >> *> You seem to have missed an important little word in Brent's post: >> Brent talked about needing an infinite RANGE of coordinate values for an >> infinite universe* >> > > OK fine, so in a finite universe you'd only need a finite RANGE of > coordinate values printed on a finite number of labels for all the finite > number of points in that finite universe. But as I said, if new points are > constantly being made at an accelerating rate in that "finite" universe > then you're going to run out of those finite labels. > > > *nothing whatsoever about having only a finite set of distinguishable >> labels......* >> > > Nothing whatsoever? He specifically said a "range of coordinate values to > *label* all the points". And if a label isn't distinguishable then it > isn't a label. > > John K Clark >
If you have a sphere that is expanding the coordinate grid comoves with that. The spacing between coordinate points increases. The number of points needed to specify things does not need to change. The points on a space are not physical information. In some ways they are just mathematical fantasies of sorts that happen to satisfy requirements of a self-consistent axiomatic system called point-set topology. If the sphere has constant curvature the only intrinsic piece of information you need then is just one point, which you define as your coordinate. All other coordinates can be derived. If the 3-sphere has lots of hills and valleys then you do need to specify more points. In this situation there is more real information. If these hills and valleys becomes infinitely craggy in a fractal then the amount of information required to specify this sphere has unbounded Kolmogoroff complexity. But for a smooth sphere, and one that is expanding so it becomes every smoother, does not at all require added information to describe it as it expands. LC -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/30dff2b5-7733-4d60-9870-58a961381587%40googlegroups.com.
