On 1/31/2020 7:47 PM, Alan Grayson wrote:
On Friday, January 31, 2020 at 7:34:18 PM UTC-7, Brent wrote:
On 1/31/2020 12:04 AM, Alan Grayson wrote:
On Thursday, January 30, 2020 at 10:37:13 PM UTC-7, Brent wrote:
On 1/30/2020 5:37 PM, Alan Grayson wrote:
On Thursday, January 30, 2020 at 6:29:18 PM UTC-7, Alan
Grayson wrote:
On Thursday, January 30, 2020 at 5:09:56 PM UTC-7, Brent
wrote:
On 1/30/2020 12:45 PM, Alan Grayson wrote:
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
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
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.
Time dilation is a property of one clock (or one path) relative to
another. It's called relatvity theory of a reason.
*My point is that the CMB "clock" exists everywhere, and that it has
no relative motion wrt anything, so how can time dilation be applied
to it? AG*
For this clock, which is NOT moving through space-time, paths
through space-time are irrelevant. AG
Clocks that aren't moving thru spacetime are stopped. You're
thinking of clocks that aren't moving thru space.
*I'm thinking about motion through space. That's what the "v" in the
Lorentz transformation means; motion through space. AG
*
Only relative motion is meaningful. Clocks synced to the CMB are moving
relative to one another if the universe is expanding.
Brent
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