Haelfix said:
I don't understand this line of reasoning. You better believe the measuring apparatus expands as the universe expands, its just its so vanishingly small (98 orders of magnitude small for instance) that its for all intents and purposes a nonfactor.
No - this is not a matter of measurement but principle.
In GR if the measuring apparatus expands as the universe expands then
there would be no detectable expansion. That is why all standard textbooks carefully explain that if the expanding universe is modeled by a balloon being blown up, with galaxies modeled as spots on it, then
the spots themselves do not expand, this is where that analogy breaks down as a model of the standard theory. It is normally explained that a better model is one in which the galaxies are represented by pennies/cents being glued onto the expanding balloon.
Having said that the question as to whether galaxies (and by extension rulers) really do expand with the universe is also a observational matter. But, as you say, the rate is too small to observe.
One clue that all is not right with the standard model is the Pioneer Anomaly in which the Pioneer spacecraft , now well away from the perturbations of the planets in the solar system, appears to exhibit an anomalous extra acceleration towards the Sun of
(8.74+/-1.3) x 10
-8 cm/sec
-2
this is very nearly equal to
cH and could therefore be cosmological in nature.
[Note a simplistic equating of PA = universe expansion does not work as the acceleration is the
towards the Sun, you have to think it through consistently in an alternative gravitational theory.]
However we aren't measuring the expansion of space, we are presumably measuring ripples from linear perturbation series from some object (like a neutron star). As they pass us, you should see a kink in the machine.
Not if
everything is perturbed equally. Suppose a GW causes a line of atoms to expand in one dimension (Weber detector), in GR the atoms remain of fixed size but an increase in the gap between them passes down the detector as a wave. If however the atoms, and any ruler, also
themselves expand then the wave is undetectable by those atoms and ruler. I believe it was this reasoning that led Einstein to deny GWs in his rebutted paper
If nothing is detected as far as I am concerned something is very, very wrong. In fact i'd put the blame on the experiment rather than the theory, so confident I am that it has to exist. If however it persists through generations of LIGO and others, well it would be deeply embarrasing for many of us.
I concur; then we would have to see alternative gravity explanations for the PA!
Garth