I am not asking about wavefunction collapse. I do understand that QM is one of the most experimentally proven theories, but there are different interpretations. What I am asking about is whether the wavefunction travels like a real particle or a virtual particle (just a mathematical model).
I have read these questions:
where Bob bee says:
Yes, it is physical enough. It is real enough. Eigenstates or projections or some other description of the state of the particle, such as a wave function, are equivalent for your purposes. And the fact is that they have an amplitude (sqrt of probability) and a phase. Both are real. So, whichever words, the property (and we call it all those like prob. amplitude, projection into eigenstates, wave function, etc) is real, is physical. Not just a math concept. As you said, otherwise they would not interfere.
where John Rennie says:
The wave function is not an actual wave - like an electromagnetic wave. It is a collection of numbers that summarizes our knowledge about the physical system and that can be used to make predictions. Any attempt to "overinterpret" the wave function and "visualize" it as a real wave that objectively exists etc. is fundamentally flawed.
where ACuriousMind says:
The wavefunction that models a freely travelling particle is usually a Gaußian wavepacket. This moves, but it does not "oscillate".
If the wavefunction really moves, like a Gaussian wavepacket, then it could be a wave, and if it does have amplitude and phase, it could be a wave, and if it interferes (causes interference), then it could mean that it is a wave too.
Yet, wavefunctions has no physical significance at singularities, at the initial singularity, because the wavefunction is a probability density (its square modulus), not a probability, so the wavefunction started to gain physical significance later, the wavefunction itself might be a human creation, like virtual particles, just a mathematical model.
So basically the wavefunction could either be like a real particle (traveling as a wave) or a virtual particle (just a mathematical model).
- Does the wavefunction propagate as a Gaussian wave, or is it just a mathematical model, a virtual wavefunction?