On Wednesday, January 22, 2020 at 8:51:50 PM UTC-7, Brent wrote:
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> On 1/22/2020 6:26 PM, Alan Grayson wrote:
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> On Wednesday, January 22, 2020 at 6:29:32 PM UTC-7, Brent wrote: 
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>> On 1/22/2020 5:08 PM, Alan Grayson wrote:
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>>> When you measure something and it is so close to zero as to be 
>>> indistinguishable from zero, then taking it to be zero is not an assumption.
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>> *Why don't you compare the measured value with the curvature of a sphere 
>> 1 LY in diameter, or !0^6 LY in diameter? Do you really think the curvature 
>> would be significantly different from the measured value of the universe? I 
>> doubt it. So, taking it to be zero, is just what you prefer, nothing more. 
>> CMIIAW, AG*
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>> No, because zero is a physically interesting value.  There maybe some 
>> unrecognized symmetry principle that makes it zero.  It's unlikely that 
>> there's some symmetry principle that makes it 1e-6.  That's why physicist 
>> look at the data as evidence for zero.  Of course they may be wrong.  But 
>> it's not because they are just pulling assumptions out of thin air.
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>> Brent
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> *Why assume there's some symmetry principle to drive the curvature to 
> zero? *
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> You keep using the word "assume" which means to "take as given to be 
> true".  Scientists hypothesize, they only "assume" for purposes of testing 
> the consequences.
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*OK, then let's say when the measured value is close to zero, which can't 
distinguish flat from spherical, cosmologists have a bias toward saying it 
is flat. I don't mean they assume they're claiming "flat" is the Gospel. 
AG *

> *It could be just because the universe is huge. *
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> Or it could be because some principle makes it zero.  The latter would be 
> a more interesting discovery, so that's why cosmologists consider it.
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*They should consider everything of course -- I have no problem with that 
-- but spherical implies finite, which you have to admit is pretty amazing! 
AG *

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> *I don't think the cases are distinguishable by measurements. OTOH, the 
> article points to some measurements of the CMBR that imply a spherical 
> universe. Are they in any way persuasive? AG *
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> Nobody gets persuaded by one observation that contradicts the prior 
> observations.  What if they had happened in reverse time order...you'd be 
> asking if the evidence for flatness is persuasive.
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*OK, then taking all the points the authors raise, what probability would 
you give that it's curved, not flat? I just want your sense of the paper's 
main claim, or suggestion. AG *

Brent
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