There are basic unresolved foundational "issues" with Standard Quantum Mechanics StdQM based on Schrödinger's Equation SE, basically issues with SE:
- Unitary deterministic evolution of the wave function.
- Collapse of the wave function upon observation.
- Statistics of collapsed wave function by Born's Rule.
There are many more issues (ontology, correlation, non-locality...) but the all connect to 1-3 in one way or the other.
Major efforts have been made since the 1926 when Schrödinger formulated SE, to resolve the issues but there is still no resolution in sight accepted by most physicists. There are several very different proposals (Copenhagen, Many-Worlds, Bohmian Pilot Wave...) with the great variety suggesting that they are all wrong.
The previous post exhibited the "weirdness" of SE in the sense of electrons having both separated existence in different worlds and existence in a common shared world. This is expressed in the multi-dimensional nature of the Hamiltonian $H_{weird}$ underlying SE.
But there is a different interpretation of $H_{weird}$ named RealQM, which is not weird because the electrons in RealQM have only shared existence with the corresponding Schrödinger equation taking the form of classical continuum mechanics.
By restricting electrons to share the same 3d world/coordinate system, all the issues troubling StdQM evaporate. RealQM comes out as a form of classical continuum mechanics without issues beyond those of classical physics. RealQM thus offers a unified continuum model including both micro and macro-scopic physics.
It is a mystery why RealQM was not tried in 1926, since it is the most natural way of generalising Schrödinger's equation from one electron to many electrons, staying within classical continuum mechanics without all the issues of StdQM, which was Schrödinger's approach.
It seems that it was Heisenberg and Born who made history turn in the direction of StdQM and not RealQM.
The following quotes of Heisenberg shows his ideas rooted in his matrix-mechanics as a new form of physics, which express essence of StdQM:
- What we observe is not nature itself, but nature exposed to our method of questioning.
- Not only is the Universe stranger than we think, it is stranger than we can think.
- The reality we can put into words is never reality itself.
- The atoms or elementary particles themselves are not real; they form a world of potentialities or possibilities rather than one of things or facts.
- The existing scientific concepts cover always only a very limited part of reality, and the other part that has not yet been understood is infinite.
- The ontology of materialism rested upon the illusion that the kind of existence, the direct "actuality" of the world around us, can be extrapolated into the atomic range. This extrapolation is impossible, however.
- The conception of objective reality ... has thus evaporated ... into the transparent clarity of mathematics that represents no longer the behavior of particles but rather our knowledge of this behavior.
Born came to the help of Heisenberg with the statistical interpretation of the wave function of StdQM:
- If God has made the world a perfect mechanism, He has at least conceded so much to our imperfect intellect that in order to predict little parts of it, we need not solve innumerable differential equations, but can use dice with fair success.
- I am now convinced that theoretical physics is actually philosophy.
- The universe is not a puzzle to be solved, but a mystery to be embraced.
Bohr from his failed attempt to give physics to an atom, also jumped in to help Heisenberg in support of StdQM:
- It is wrong to think that the task of physics is to find out how Nature is. Physics concerns what we say about Nature.
- Nothing exists until it is measured.
- Opposites are not contradictory but complementary.
- When we measure something we are forcing an undetermined, undefined world to assume an experimental value. We are not measuring the world, we are creating it.
- When it comes to atoms, language can be used only as in poetry.
- There is no quantum world. There is only an abstract quantum physical description. It is wrong to think that the task of physics is to find out how nature is. Physics concerns what we can say about Nature.
Together Bohr-Born-Heisenberg formed a very strong team setting the agenda of modern physics to be StdQM against the will of Schrödinger who wanted something like RealQM.
It may be that all the unresolved issues with StdQM having taken toll for 100 years finally will open for a come back of Schrödinger and RealQM.
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