PeterDonis said:
The cat doesn't have to be isolated indefinitely, only long enough for the experiment to run. That might only be a few seconds if the quantum system is chosen appropriately.
Sure, but the cannot be isolated for any amount of time.
PeterDonis said:
Or you could isolate the box from anything like a torsion balance that would allow detection of motion inside it. For example, you could have the box in free fall in deep space, not connected to anything else, for the duration of the experiment.
This does not solve the problem. As long as there is some motion (like a beating heart) you have a change of the mass distribution. Such a change is measurable by its gravitational effects. One or more torsion balances could resolve the mass distribution inside the box. By placing the box in space you only keep its center of mass in the same place.
PeterDonis said:
Which can be isolated by making the box a Faraday cage.
Such a cage cannot shield static electric or magnetic fields, only EM waves. If one could shield a charge, a violation of charge conservation would occur. So it has to be impossible.
PeterDonis said:
If this argument were true, it would apply to electrons, since they have both charge and mass. But we know we can run experiments on electrons that show superpositions. So this argument cannot be true.
The electrons can be in superpositions because of the uncertainty principle, not because you isolate them in a box. The uncertainty principle applies for all observers equally, inside or outside the box. The uncertainty principle is not relevant for macroscopic objects, this is why they cannot be superposed. Sure, uncertainty applies to all objects, but for macroscopic ones it's not observable. The cat could be in a position superposition with a separation of a Planck unit or so, but this is not what is claimed here.
PeterDonis said:
You could try to argue that a macroscopic object cannot be isolated from its environment due to its mass, or electric currents inside it, or something like that.
Exactly. The only limitation is the uncertainty principle. In fact microscopic objects, like electrons cannot be isolated either, for the same reason - mass and charge conservation. The mass and charge of the electron is measurable from outside the box. It's just that the measurements show the expected deviations so you gain nothing from placing the electron in a box.
PeterDonis said:
But, as I noted above, the object would not need to be isolated forever, just long enough to run a Schrodinger's cat-type experiment. Your arguments do not show that that is impossible.
Time is not an issue here. The object cannot be isolated for any time, no matter how small.