I would like to put to the critic of the RG participants a hypothesis about the nature of the wave function (WF) - more specifically about WF collapse.
According to it: the particle is a real entity and creates a real wave, which has real nature and is described by the WF. This wave can interract with the particle by changing its trajectory as is evident from double slit and Mach Zehnder interferometer. So far it looks like de Broglie interpretation.
But the WF collapse is explained as impossibility of the wave to interact with the particle after the particle is affected in the process of measurement. After measurement the particle creates a new wave and can interact only with it. Maybe as a prove can be regarded the fact that when the measurement is weak there is partlial visibility of the interference.
Then there are two possibilities about the wave. First - It can not interact with other particles following Diracs sentence that “An electron interferes only with itself”.Then this wave is no more observable. Or can get observable after removing all consequences from the measurent (erasing the measurement). There can maybe offered an experiment (I didn’t thought about).
Second the wave can interfere with another particle provided it is in a state the original particle was in before the measurement. Indication of this are some papers of interference of two lasers and Hong-Mandel-Ou intereference. If this is the case I propose an experiment which may solve the case. The plot is the following file.
WF hipothesis plot.doc
There scheme is checked for D2 and D1 events and t2
I believe the uncertainty relation plays a crucial rule in the notion of wave function collapse.
A particle, like a photon, is both a wave and a particle. The wave function describes the frequency and wave length.
A fundamental particle can be viewed as being made up of many constituent quanta, (the number of quanta defines the frequency) and when measured directly these constituent quanta act as one cohesive particle.
Hence the collapse of the wave function
I would like to hear something about the proposed experiment.
By the way is there intereference experiments with electrons where the electron is forced to change its energy and then regain it - b.e. going tru a potential wall.
Collapse of the wave function - is only the limiting case, when measurement is performed by classical apparatus. The solution of the problem of collapse is connected with nonlinearity of quantum mechanics - this is the consequence of the creation (annihilation) of particles.
See, for example, Melkikh A.V. Nonlinearity of quantum mechanics and the solution of the problem of wave function collapse. Communications in Theoretical Physics. 2015. V.64, No. 1, 47-53.
You can download my paper here:
https://www.researchgate.net/publication/280062863_Nonlinearity_of_Quantum_Mechanics_and_Solution_of_the_Problem_of_Wave_Function_Collapse
Alexey
Article Nonlinearity of Quantum Mechanics and Solution of the Proble...
Dear Alexey,
Thank you for your interest.
My question is about the two experiments I propose. Have you seen something similiar?
What if the results are positive? Do you know what would be the result without conducting them?
What about the hypothesis?
As far as it goes for nonlenear QM I take the opinion that the non - communication theorem which is based on linearity of QM is huge obstacle on your road. You have to show that NCT is not right or follows from your theory.
Dear Ilian!
I don't know such experiment, but it could be possible that it is similar to some experiments with Mach Zehnder interferometer.
Non-communication theorem is only special case. It is based on linearity of quantum mechanics. In general case it could be wrong. In any case - nonlinearity of quantum mechanics is a consequence of general system of equations for bosons and fermions.
Alexey.
"it could be possible that it is similar to some experiments with Mach Zehnder interferometer." - can you be more specific
Since the wave function represents the resonance volume within which an electron remains captive, collapsing the wave function simply reveals the actual electron localization and its Coulomb induced carrying energy as a function of the distance it is at from an atomic nucleus:
Article The Hydrogen Atom Fundamental Resonance States
- Badges
- Science topic
- Similar topics
- Physical Sciences
- Quantum Physics
- Quantum Mechanics