michaelmozina":3u84bz4a said:
The premise of the paper I cited suggests that what you are describing as the "expansion of space" can also be mathematically described as a time dilation effect and a very real movement of objects that are in fact traveling through (empty) space and moving further apart over time.
Just as long as
we all understand that subtle difference I referred to earlier, and that is that the movement of objects cannot be thought of as "very real" in any
global sense. You can break them down into lots of little patches of very real motion with SR, and try to stitch them together with cosmology, but you still get apparently superluminal recession speeds.
From
Is space really expanding? A counterexample
"In an empty universe, ‘public-space’ recession velocities
are not only superluminal for sufficiently large redshifts;
they are even unbounded. Does it imply violation of special relativity in cosmology? Of course not. Apart from anything else, deriving Equation (26) we have used nothing except special relativity! Constancy of the speed of light, and subluminality of the motion of massive bodies,
applies only to inertial frames. However, ‘public-space’ distance is a
hybrid of distances measured in
different inertial frames, all in relative motion. Since the resulting v
rec is not measured in any single inertial frame, there is no violation of special relativity (Davis 2004)."
And he finishes with this:
"There is neither
absolute space, nor expanding space. All that matters is the
cosmic substratum and its relative motions. A truly Buddhist enlightenment."
In
Expanding Space: the Root of all Evil? (the most insightful paper, in my opinion) it is referred to as the
cosmic fluid, but they are both essentially referring to the FLRW solution and in all cases we have a metric expansion of the universe that conforms to the cosmological principle. From that paper:
"To illustrate how short this pragmatic formalism falls of being platitude, one need look no further than Abramowicz et al. (2006), in which a thought experiment of laser ranging in an FRW Universe is proposed to ‘prove’ that space must expand. This is sensibly refuted by Chodorowski (2006b), but
followed by a spurious counter-claim that such a refutation likewise proves space does not expand. The exercise is
futile: what matters on a technical level are predictions for observable quantities, which of course are the same regardless of how the problem is pictured and what co-ordinate system is chosen."
And on the subject of superluminal recession velocities:
"If we mean by superluminal that the motion described in the coordinates of the Minkowski (or conformal Minkowskilike) frame defined by extending the local inertial frame of an given observer is greater than unity then everyone agrees that
this does not occur. On the other hand, if we take the FRW co-ordinates it is clear that there is
no limit on the recession velocity: if we
choose to call this superluminal motion, then it indeed occurs. The debate seems to boil down to whether this should or should not be given the name ‘superluminal’ but crucially the physical predictions made by either camp will be
identical. What matters is
not what we call the phenomenon but whether the understanding an individual has of a given term reflects reality and it is clear that not all the authors mentioned above held common meanings of the term superluminal."
(my emphasis in italics)
So where are we? Well Chodorowski hasn't posted his paper showing how it all stitches together yet, but as long as we understand that none of this affects the underlying picture in any way, it just affects how we should describe that picture to people who don't fully understand the mathematics of General Relativity. This is why people who
do understand the mathematics properly say things like we cannot
meaningfully separate space and time except at the local scale.