On Friday, January 31, 2020 at 2:04:00 AM UTC-6, Alan Grayson wrote:
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> On Thursday, January 30, 2020 at 10:37:13 PM UTC-7, Brent wrote:
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>> On 1/30/2020 5:37 PM, Alan Grayson wrote:
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>> On Thursday, January 30, 2020 at 6:29:18 PM UTC-7, Alan Grayson wrote:
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>>> On Thursday, January 30, 2020 at 5:09:56 PM UTC-7, Brent wrote:
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>>>> On 1/30/2020 12:45 PM, Alan Grayson wrote:
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>>>> That's not it. I think the two observers, one in a galaxy far removed
>>>> and one here, would read the same CMBR "time", regardless of the distant
>>>> galaxy's speed of recession. But relativity says otherwise. This is what
>>>> puzzles me. AG
>>>>
>>>>
>>>> Ask yourself *when* do they read the same time.
>>>>
>>>> Brent
>>>>
>>>
>>> I don't know if this helps. Since the temperature of the CMBR is the
>>> same everywhere, at any time t, we can in principle determine if the two
>>> measurements are simultaneous or not. AG
>>>
>>
>> But regardless of simultaneity or not, there's no dilation of this clock!
>> (And AE doesn't say what a clock is.) What the hell is going on? AG
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>> The clocks used in relativity examples are the whatever the most perfect
>> and stable clock in existence are (in this case cesium atom clocks). They
>> always measure proper time thru spacetime. The only reason that when
>> compared they seem to register different durations is because they traveled
>> different paths thru spacetime and these paths had different proper
>> length. "Time dilation" is not some function of the clock...it's a
>> function of the path the clock is measuring. Remember my odometer analogy?
>>
>> Brent
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>
> Given that the temperature of the CMBR is the same for every location in
> space-time, it follows that time dilation is not a property of THIS clock.
> For this clock, which is NOT moving through space-time, paths through
> space-time are irrelevant. AG
>
You are making this a whole lot more difficult. The time dilation
associated with red shift of radiation is uniform out to a certain distance
of around 46 billion light years. It is fairly uniform to within 10^{-5} in
isotropy.
LC
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