On Wednesday, January 22, 2020 at 10:41:31 PM UTC-7, Brent wrote:
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> On 1/22/2020 8:18 PM, Alan Grayson wrote:
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> 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.
>>>>
>>>>
>>> *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*
>>>
>>>
>>> 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.
>>>
>>> Brent
>>>
>> *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. *
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> I don't know what "bias" would mean in that context.  They don't say it is 
> flat.  They hypothesize, consider, contemplate,...they say, "If is flat, 
> maybe it is because..."
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> *I don't mean they assume they're claiming "flat" is the Gospel. AG *
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>> *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 *
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> Their claim is they have new data that favors positive curvature over zero 
> or negative curvature to a significant degree (in the statistical sense of 
> significance).
>

What's your opinion of the claim? Is it plausible? AG 

>
> Brent 
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>
> Brent
>>
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