(Fig.1) Quantum mechanics cannot use real particles or wave.
Bohmian mechanics or Bohm theory tries to do the impossible thing = eliminating the paradoxical wave-particle duality in double slit experiments within quantum mechanics.
In real world, an electron accelerated by Coulomb electric force generates real de Broglie wave whose wavelength is related to the electron's kinetic energy or momentum.
Bohm theory satisfying the unphysical quantum mechanics uses an unreal electron with No electric charge, which is moved only by fictional pilot wave (= quantum potential, Not real de Broglie wave ) satisfying Schrodinger probability wavefunction that is unrealistically not changed even when pushed back by the electron, which violates action-reaction law.
↑ Because if the quantum mechanical pilot wave (= probability wavefunction ) is changed by the electron due to action-reaction law, for example, the hydrogen's wavefunction (= solution ) is changed with time, which can No longer satisfy Schrodinger equation nor remain right solutions giving the right atomic energy. → wrong atomic energy
See this or this-middle-Splitting the Schrodinger equation~From Schrodinger to Bohm
This or this-lower-Modern perspective and criticisms say -- Unreal pilot wave
"Because the wave function (= of Bohmian mechanics ) never collapses, the universe is filled with an infinite, ever-growing graveyard of 'empty waves', branches of the universal wave function that the actual particles did not enter. These waves continue to evolve via the Schrödinger equation (= but lacking Coulomb force ) forever, completely decoupled from matter, leading some critics to joke that Bohmian mechanics is just "Many-Worlds with a single track for a single particle."
"The pilot wave acts on the particle, altering its trajectory through the guiding equation. However, the particle has absolutely zero back-reaction on the wave. The wave does not care where the particle is; it evolves independently. This violates the implicit physical intuition.. that if entity A acts on entity B, entity B should act back on entity A"
This-p.2-last-paragraph says -- No action reaction law
"A key property of the Bohmian approach, however, is that the particle’s Bohmian
position has no influence on the wavefunction. The wavefunction evolution is prescribed by the system geometry, and the particle navigates its guiding wave without
altering it"
↑ As a result, if quantum mechanics tries to use a particle and wave separately, it disagrees with the experimentally-observed action-reaction law or momentum conservation law, which fact disproves quantum mechanics and its pilot wave.
This paper on unreal pilot wave disobeying Maxwell theory ↓
p.12-1st-paragraph says -- Pilot wave disobeys Maxwell
"The motion of the particle will be given by de Broglie's guidance equation (= fictional pilot wave, Not real de Broglie wave ),.. not by the Lorentz force law... not by Maxwell’s equations"
p.12-2nd-paragraph says -- Disproven pilot wave
"pilot-wave theory does not satisfy the
‘action-reaction principle"
"To understand the pilot wave,
perhaps we must learn to think in ways that are far removed from the physics
of Newton, Maxwell, and Einstein"
↑ So if quantum mechanics tries to treat a particle and wave separately as shown in this Bohm pilot wave, its has to disagree with experimentally-verified Maxwell electromagnetic theory and action-reaction (= momentum-conservation ) law, which fact disproves quantum mechanics.
This-paper on unreal Bohm pilot wave with No charge ↓
p.7-last~p.8 says -- Unreal quantum wave-particle duality
"The Bohm interpretation, tries to overcome the old problem of wave particle duality that asserts the simultaneous existence of both the particle
and the wave"
p.8-1st-paragraph says
"The motion of the
particle is assumed to be guided by a ‘ quantum potential"
"there is no
collapse of the wave function"
p.8-2nd-paragraph says -- No action-reaction law
"the particle does not react back on the wave. This violates the action reaction principle, which may be regarded as a metaphysical objection to the
Bohm interpretation"
p.8-2nd-paragraph says -- No charged particle
"Also, parameters such as charge,
mass, etc. which are usually associated with the particle are spread out over the
wave and not localized on the particle in the Bohm picture."
↑ So if the unphysical quantum mechanics tries to solve the paradoxical wave-particle duality, it has to use an unreal electron particle with No charge nor mass, which is moved only by fictional quantum mechanical pilot wave or quantum potential (= Not electromagnetic force potential ), which pilot wave violates action reaction law, which fact disproves quantum mechanics.
This-article on unrealistic pilot wave ↓
p.1-abstract says -- Unreal pilot wave with No reaction
"three weaknesses in the de Broglie-Bohm (= pilot wave ) theory: its reliance on the quantum probability formula to justify the
particle guidance equation; its insouciance regarding the absence of reciprocal action of the particle on the guiding
wavefunction"
p.4-3rd-paragraph says -- Violate action-reaction law
"the particle
responds passively to the wave without reciprocal action. The absence of particle reaction is not
a logical problem; indeed, it is crucial if one aims to avoid disturbing the Schrödinger evolution"
p.22-last~p.23 says -- de Broglie rejected pilot wave
"In fact, although de Broglie was an architect of the nascent pilot-wave theory in the 1920s, he was a critic of it from the outset. He believed the theory is basically inconsistent"
p.23-2nd-paragraph says -- Fictional quantum wavefunction
"With reference to the ψ wave, de Broglie believed that it is 'fictitious'... He deemed the wavefunction to be fictional in two respects."
↑ So if physicists try to treat the unphysical quantum mechanical wavefunctions as real pilot wave, which causes self-contradiction disagreeing with action-reaction (= momentum-conservation) law and electromagnetic theory, so quantum mechanics is wrong, lacking reality.
This or this-p.7-left-5th-paragraph says -- Superluminal pilot wave
"relativistic
Bohmian theory, wherein the coordinate velocity of the particle
can exceed the speed of light (i.e. in regions of destructive
interference), but also equal zero; that is, when the photon stops
and changes directions"
↑ Quantum mechanics (= ex, pilot wave ) disagrees with Einstein relativity claiming a photon must always move at the constant light speed c, which is self-contradictory, disproving the relativistic quantum field theory, QED and (relativistic) particle physics.
↑ Real de Broglie wave should be generated by a moving electron, but the unscientific Bohmian mechanics says the (fictional) pilot wave is generated by Schrodinger equation (= clear mechanisms are unknown ), Not influenced by any particles, which disobeys action-reaction law.
So No quantum mechanical interpretation such as Copenhagen, many-worlds and Bohmian mechanics (= allowing faster-than-light or non-local motion ) can use real electrons nor real de Broglie wave due to the contradictory quantum mechanical wavefunctions.
↑ If the quantum mechanical wavefunction (= pilot wave ) is changed (= by being pushed back by the electron obeying action-reaction law ) with time like real wave, for example, the hydrogen's ground-state wavefunction is changed and can no longer satisfy Schrodinger equation nor give the right atomic energy. ← Quantum mechanical wavefunction or pilot wave is unreal wave.
Only real Bohr model can use real moving electrons and real de Broglie wave satisfying all the experimentally-verified physical laws (= action-reaction law, electromagnetic theory ), avoiding the paradoxical quantum mechanical wave-particle duality or parallel worlds ( this-figure-lower ).
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