On 2/8/2014 12:15 AM, LizR wrote:
I think Edgar's basic idea is that there is a plane of simultaneity which sweeps through
space-time, and that all events in space time intersect with it - for example an
astronaut moving at 0.9c will be intersecting it at the same time as his twin on Earth,
but intersecting it at an angle that means his clock runs at a different rate.
Or something like that. This hyperplane appears to be the rest frame of the CMBR
(probably) and orthogonal to the expansion of the universe in 5 dimensions, ignoring the
bumpy bits.
You can of course choose such a hyperplane (e.g. a 3-sphere) of constant CMB observed
temperature, which fits nicely with the symmetry of FRW cosmology and makes the equations
very simple. But that time variable, t, then makes the dynamical equations of something
moving relative to the CMB quite messy because those equations are simple in terms of the
Lorentz transform of t plus space variables.
Brent
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