This brings to mind this dormant company that I ran across decades ago that proposed a cooling solution based on electron tunneling. The company and it's corporate structure never felt very legitimate, and the whole thing was very hand-wavy...
That was the exact thing I was thinking about. They are in the category of "too good to be true" technologies that I check on once every year or two when I remember them, like EESTOR.
The concept of phonons is confusing because unlike other particles, phonons don’t have an accompanying fundamental field. They seem more like an emergent phenomenon. Why should phonons be considered particles?
Phonons are the minimum quantum excitation of vibration within a material. Just as harmonic oscillators have quantum energy levels, so do materials. You are correct -- they are an emergent phenomenon.
In the case of phonons, they can carry momentum, they travel like particles. A sibling comment is correct -- they are technically quasi-particles [1]. It is okay to think about a phonon field within a material. That field is not fundamental, in the sense that an electron is presently-believed to be fundamental, but that doesn't keep it from being a very useful way to think about condensed-matter physics.
I'm trained in physical chemistry, rather than physics, so I don't have the firmest grasp of quantum field theory, but I think the analogous "phonon field" would be the Born-Oppenheimer potential energy surface (PES). Vibrations, and hence phonons, are collective excitations on the PES.
I used to be annoyed about that, but the particles we currently think of as “fundamental” could well be emergent too. So reserving the word “particle” for only fundamental ones isn’t practical.
But, I would guess that it has to do with wiggles in space-time, since they do say it's from the vibrating of the atoms. Energy is transferred through a medium via imparting of wiggles to that medium, so I think it would be reasonable to guess that it's either the vibrations moving through space-time or maybe some other field related to mass.
I think not. The heat flux decays exponentially with increasing distance between the objects. This is an extremely short range phenomenon, like electron tunneling.
http://www.coolchips.gi/technology/overview.shtml