Well I know as much about physics as I do about love, which is not a whole lot. But There seems to be a huge fallacy in your logic:
So we take the original apple A, cut in half, making half B and half C. We put half B into the time machine TM. Assuming the contents of TM are the only things effected by the "mysterious field", although the atoms are reversed in their processes, (still don't understand this, but I don't need to) and would return to their individual states "before the cutting", why would that have any effect on the other half, C?? I don't see how an atom, previously located in space next to another atom, effects the other atom when it is no longer next to it. So of course you wouldn't get a whole apple. You are thinking of it like "well this was a whole apple, I cut it half, so when time is reversed, I get a whole apple" but we're not reversing time at all, we are simply making the "mysterious fields" reverse, and having the molecules/atoms/electrons go back to how they were by inverting their processes. This is not actually time, as I understand it. Or if it is, then time doesn't exist, and is simply a function of common processes...
I'll put it one further: If we put a concious being into the machine, even if we could assume that the thought processes, due to their electro-chemo nature, would reverse, can we assume that the "observer" aka the soul, aka the one thing science has yet to explain, although my personal theory is that of a hivemind, due to our cells acting like bees in their communication, (sorry for tangent) so this observer, is it affective by the field? If so, it must be a physical object, because the field is physical, yes? If this observer cannot be located in the world physically, or more accurately, if it lies in another dimension/plane of reality, would it then (due to its non-time bound nature) experience the "mind/thoughts" going backwards, but it would still "feel" like linear time was moving forward? I.e. would it feel normal, except instead of getting older, you'd get younger, and instead of thinking of answers after being asked questions, you'd think of answers and then create questions?
I also want to know what would happen if you put one of these machines inside another, bigger machine of the same type. I can imagine afew outcomes, but I'm pretty sure the inner machine would cease to function. But if it didn't?
Also are these machines powered externally? I.e. would the inner machine also need a generator hooked up to it, because if you had a chord leading into the field, where the power source was outside the field, and something was using the power inside the field, I dunno what would happen, but personally I wouldn't want to be standing too close.
