On Thursday, January 23, 2020 at 4:56:08 PM UTC-7, 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
>

But they are distinguishable. Moreover, accelerating expansion is 
irrelevant. A constant rate of expansion produces non-observable regions 
for every observer. As for using a single time label for the whole 
universe, doesn't GR do just that in its scale factor "a", which is a 
function of one variable, t, time. Admittedly, this seems to violate the 
concept in relativity that each observer has its own clock.  No doubt 
someone here can rationalize this apparent anomaly in relativity. AG

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