> Vibration of charged particle produces EM-waves. Those EM-waves are not photons.
Yes, they are. In the Standard Model, the photon is the "carrier" particle of the EM field. Any EM interaction between any two charged particles is ultimately the exchange of one or more photons between those two charged particles. When a particle emits an EM wave, in any way, it emits one or more photons. It's impossible to emit 1/2 a photon or 1.3 photons - the EM field / EM waves come in quantities of whole photons.
In the same way, when two quarks interact via the strong interaction, they are emitting and absorbing gluons, the carrier particle of the strong force.
The only fundamental interaction not currently proven to be quantized is gravity. We do know gravity waves exist, but we have not been able to measure them to the required fidelity to verify whether they are also quantized, and thus to know whether they are also equivalent to an exchange of particles (we call these hypothetical particles gravitons, and many do believe that gravitational interactions also occur by the exchange of a whole number of gravitons between bodies with "gravitational charge", i.e. mass).
Unlike regular waves, photons are topologically stable, like smoke-ring kind of wave. Google hopfions for example.
If you like hydrodynamic quantum analogs (walking droplets), then you may see that droplet may escape it pilot wave sometimes. In such cases, pilot wave continue to travel in same direction for some time. IMHO, it's similar to how photons are formed: electron creates pilot wave, then escapes it, similar to Cherenkov radiation.
Anyway, photons have special configuration, so they behaves differently than regular waves.
Gravitational waves, AFAIK, are not topologically stable at all.
Yes, they are. In the Standard Model, the photon is the "carrier" particle of the EM field. Any EM interaction between any two charged particles is ultimately the exchange of one or more photons between those two charged particles. When a particle emits an EM wave, in any way, it emits one or more photons. It's impossible to emit 1/2 a photon or 1.3 photons - the EM field / EM waves come in quantities of whole photons.
In the same way, when two quarks interact via the strong interaction, they are emitting and absorbing gluons, the carrier particle of the strong force.
The only fundamental interaction not currently proven to be quantized is gravity. We do know gravity waves exist, but we have not been able to measure them to the required fidelity to verify whether they are also quantized, and thus to know whether they are also equivalent to an exchange of particles (we call these hypothetical particles gravitons, and many do believe that gravitational interactions also occur by the exchange of a whole number of gravitons between bodies with "gravitational charge", i.e. mass).