Still from mostly a physics perspective:
Sure, all the time. On a medium scale, atomic bombs convert several grams of matter into heat. It still exists as energy, but that heat isn’t ‘stuff’ anymore. Likewise, at the ‘time of’ the big bang, there really wasn’t matter at all. It came later as the universe cooled.
No. You can’t cut an electron in half, but you can cut a proton (into thirds).
In this case, same thing. Maths describing our observations is the same thing as them being real. A particle might be no more than a disturbance in a fundamental field, but those disturbances are quantized, so they still cannot be halved.
Nobody has seen the Whirlpool Galaxy (M51) either. It’s all inferred from similar data. For that matter, one can say that of the moon, since all we measure is light presumed to have come from there. No observation is ever direct. That doesn’t mean that electrons don’t exist in our universe. They’re not nothing, even if they look less like ‘stuff’ the closer you look.
All correct. Energy conservation works in inertial frames, and our universe is not described by any inertial frame. So light energy fades to arbitrary redshifted wavelengths. Moving rocks (in the absence of force) tend to slow arbitrarily close to a halt, but never to a stop.
They’ll have a hard time doing that. There is no total energy of the universe, but there is an energy density, which goes down (E/proper volume) or up (E per comoving volume) depending on how it is calculated. I don’t know of a way where it remains the same.
Interpretation dependent, so indeed, undecided.
No ‘beyond’ indeed since no coherent model of the universe gives it an edge. But that doesn’t preclude other universes. You just can’t meaningfully point in a direction where one of them is.
Space just gets bigger
It is expanding, yes, but the universe at a moment in time does not have a size, so the size cannot change. And also the universe is all of spacetime, not just all of space. So while space expands over time, the universe does not since the totality is not over time, it contains it.
This is interpretational. One could alternatively define the universe to be just all of space at a moment in time, in which case it does expand, even if it doesn’t change size.
At some great distance in time, when the universe is unimaginably bigger than it is now, matter will be very, very cold–Absolute Zero?
Given the 3D model instead of the spacetime model, yes, it gets cold. At heat death, there is no matter at all, and radiation fades to nothing.
If there is matter left, there is energy, and therefore maybe still cold, maybe arbitrarily close to zero temperature, but not zero energy density.
If there is no energy at absolute zero, hasn’t a great deal finally disappeared forever
There’s still dark energy, and the proper density of that never changes.