On 1/22/2020 6:26 PM, Alan Grayson wrote:


On Wednesday, January 22, 2020 at 6:29:32 PM UTC-7, Brent wrote:



    On 1/22/2020 5:08 PM, Alan Grayson wrote:


        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? *

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.

*It could be just because the universe is huge. *

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.

*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 *

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.

Brent

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