The cosmological metric models observers as co-moving in local proper frames where 'tick rate ratio' [1/1] and all measurements are invariant. Makes sense for making measurements associated with cosmological physics. Such as the CMBR.
Yes, it does; I have to familiarize myself with the "tick rate ratio" but I know that various models address this concept. Right now I'm asking about the concepts of "at rest" at the same time relative to two major observations that have cosmological implications, raw redshift data and the nearly isotropic background temperature.
At large enough distances that cosmic expansion is relevant, things become more difficult than I can handle.
I'll note that if you want to remain at rest relative to the CMB average, then the thing to do would be to adjust your velocity so that you measure no CMB dipole.
Yes, that is the concept
. It isn't a practical thing to consider doing, but if we theorize it, that brings us to the other cosmological observation that is used for back tracking to close to the period when galaxies began to form, i.e. the raw redshift data. I'm asking if we should be able to take a position in space and adjust to keep us at a point where the generalized redshift is the same in all directions?
"Generalized" would mean that we use a set of distant galaxies or objects in them like quasars as "candles", ignoring certain galaxies that are moving within galaxy groups, and ignoring galaxies and galaxy groups that don't fit the generalize scheme. Not all are moving away from us, some groups are moving toward us, and some galaxies in other groups can show blue shift while the group as a whole is redshifted, and apparently the generalized scheme shows separation at an accelerating rate.
I'm wondering, if we theorize both types of "at rest", i.e. a rest relative to the CMB, and at rest relative to the generalized redshift as indicated by those so called candles, if our selected "dual rest states" could be maintained by adjusting to hold those positions?
I'm not sure what you're thinking. I don't think that "at rest relative to the background temperature" means anything.
It does if you are discussing the subject among friends, because the "at rest" relative to the cosmic background radiation is achieved if you measure the background temperature at the same approximately 2.7K temperature in all directions. If you have motion in any direction, the measured temperature in that direction goes up, and so you know you are not at rest.