"Phonon is to sound what Photon is to light, it really is that simple in the "universal understanding" of the physics. One is measured in a solid material, the other in a perceived vacuum, other than that there is no difference in the measuring of there wave functions. "
If the phonon is a proper description of a physical vibration, then the sound I hear would be caused by phonons hitting my ear drum. If these phonons are identical in their properties to the photon, as you claim, then I should be able to detect the sound I hear as particles. Do you know of anyone who has done this? Ed
Ed's question is really interesting - my best attempt at an answer below. Broadly it lines up with what Daniel says - but there is a lot of necessary detail.
(1) Phonons are a proper description of physical vibration in solids which like all phenomena is in principle quantised. The quantisation can be observed at low temperatures, or in special circumstances, and the (fundamental) quantum description of this phenomenon approximates classical thermodynamics.
(2) Physical vibrations in gasses are very different, because unlike lattices the vibrating objects are not strongly coupled - so the behaviour is completely different (and less interesting). Most people do not call these phonons.
(3) Phonons are a word that describes quanta of vibration in a material lattice, just as photons are a word that describes quanta of vibration in an electromagnetic field. Both are descriptions of a quantum mechanical system that can have discrete states - where states close to the ground state correspond to a small number of quanta (photons or phonons). Both single photon systems, and single-phonon systems have been studied and manipulated according to all of the laws of quantum mechanics.
(4) Whether you would "hear" wave-particle duality, if you coupled a solid lattice to your ear, would depend on how sensitive was your hearing at the relevant vibrational frequencies. In fact our retinas can detect single photons, although we cannot perceive this because multiple detections are needed to send a signal to the brain. (from the reference - maybe it is not entirely accurate). However I doubt our ears are sensitive enough to detect single external phonons! Single phonons have been observed https://www.nature.com/articles/nature08967. However our ears couple external vibrations to a fluid in the cochlea. In this fluid hairs are suspended that each form little tuned oscillators sensitive to different frequencies. it is amazing. I do not know whether individual hairs are sensitive to single phonons of vibration - just like a lattice, a vibrating resonator has quantum states described as phonons. But, even if they were, the imperfect coupling through the cochlea means it is likely they would need many external phonons.
(5) Phonons are not fundamental particles, in the way that photons are. Phonons come from the strongly coupled behaviour of many atoms in a lattice: the energy results from the way that lattice vibrations expand and compress the lattice bonds, which themselves are electrostatic but include nuclei and the coupled quantum state of the lattice electrons. Very complex. So in fact both electrons and photons represent electromagnetic energy - but in the case of photons it is direct, in the cases of phonons it is very indirect. Even so, vibrational quanta obey the normal qunatum mechanical rules and are "real" in that sense when the whole system is couples (to itself) and has minimal coupling to other things that would act is QM observers and make an isolated quantum mechanical description impossible.
(6) Also worth noting that lattice vibrational energy is what determines lattice temperature. These vibrations are decoherent and described by many uncoherent phonons (in which case there is not much point thinking about phonons, because QM effects disappear).
(7) Since phonons describe vibrations in solids it is not surprising that edges are special and vibration modes of edges can be described by topological phonons. All these phonons are just descriptions of vibration modes allowed by QM. No-one should be surprised that such things exist, we after all understand that on a macroscopic scale vibrational waves are constrained by geometry to specific frequencies, which is how musical instruments work. I know nothing about topological phonons except that they have much working theory and many applications https://onlinelibrary.wiley.co…bs/10.1002/adfm.201904784.