Why the Z boson had a different mass at different times of day.
en.wikipedia.org
en.wikipedia.org
I wonder if the bounds are such that someone walking along the corridor will affect the measurement ("yo momma so fat she perturbs the expected measured mass of the Z-boson!"). What's the relative gravitational attraction of, say, Jupiter versus a nearby train.
A great insight.
I wonder, once you've convinced yourself the idea isn't crazy, how you go about convincing someone else --- No, look at the tidal chart, and then look at this variation here. See? And then one day you've hit critical mass and the whole lab is looking at train tables, the passage of the moon, and how often yo' momma brings you lunch, trying to find correspondences.
Or maybe there was already a list of possible confabulations, in decending order, and they checked them off one by one. That would be less amusing, I think.
Sounds like a lot of fun to be had with super precise measurements in any case.
While your idea of varying inertial reference frames is correct for invariant mass at a constant velocity (or experiencing no acceleration or distortion of spacetime due to a gravitational field), it is not correct when those are included.
In fact, it is easy to see that the relativistic mass must stay constant here for two reasons: 1) Relativistic mass can change between reference frames, but we are always doing the experiment in the same reference frame, and 2) Look at the equations. http://en.wikipedia.org/wiki/Lorentz_transformation#Lorentz_...
There are no gravitational terms in those equations, only spacetime derivatives (and various constants).
Edit: It's very late and I bet I'.m being unclear -- the velocity magnitude is probably changing slightly because of the outside fields. However, I doubt that relativistc mass change would be detectable by even their instruments. It's probably just variance in path.
Knowing the energy and momentum allows one to calculate the path. Gravitational forces are also acting on those particles, and any changes in their paths caused will change the final calculated mass.
If you're on the moon, the gravitational force of the earth acting on an object is not what matters. It's the gravitational force of the moon that matters.
I mean, you'd end up having to worry about the migratory patterns of birds and the pollen index while attempting to lock the actual value down.