The transition from classical to modern physics by the development of Quantum Mechanics QM 100 years ago can be described as a process from rational physics to strange physics as expressed in the following sample of quotes:
- The strange theory of light and matter…(Richard Feynman)
- This result is too strange to be believed. (Paul Dirac)
- In the experiments about atomic events we have to do with things and facts, with phenomena that are just as real as any phenomena in daily life. But the atoms or elementary particles themselves are not real; they form a world of potentialities or possibilities rather than one of things or facts. This is a very strange situation. (Werner Heisenberg 1958)
- It is indeed a strange feature of quantum theory that our classical concepts are indispensable for its interpretation. (Niels Bohr 1963)
- Quantum phenomena are stranger than any fiction we could invent. (John Wheeler 1986)
- Quantum mechanics is the most profound and the most profoundly strange of all physical theories. (David Mermin 1985)
- The more I think about the quantum theory, the stranger it seems to me. (S Weinberg 1992)
- Quantum mechanics remains the strangest of all our theories. (Frank Wilczek 2014)
- The more success the quantum theory has, the sillier it looks. (Einstein)
Obviously, strange is in contradiction to rational, with rational something which can be understood, while naming something strange means that it is not understood. Science cannot be strange.
Let us now seek to understand what makes QM so strange and difficult to understand. We then consider the basic mathematical model of QM formed in 1926 as Schrödinger's Equation SE expressed in terms of a real-valued wave function
- $\Psi (x_1,x_2,....,x_N)$
supposed to describe an atomic system with $N$ electrons as depending on $N$ 3d spatial coordinates $x_1,x_2,...,x_N$ each coordinate connected to one electron. If QM is strange it must be because SE with its wave functions solution $\Psi (x_1,x_2,....,x_N)$ is strange. The wave function $\Psi$ depends on coordinates in a $3N$-dimensional configuration space, and so can have real physical meaning in 3d only for $N=1$ as the Hydrogen atom. Max Born came up with the following surrogate meaning:
- $\Psi^2 (x_1,x_2,....,x_N)$ represents electron configuration probability density.
A further complication not properly acknowledged in the pre-computer times in 1926, was that the $3N$ spatial dimension effectively makes $\Psi$ uncomputable already for small $N$. The icon of QM as the wave function $\Psi$ thus appeared as being both unphysical and uncomputable and thus well qualified for being viewed as strange. Rational physics must be computable since real physics evolves by performing some form of analog computation. Uncomputable physics is strange physics. Physics cannot evolve a probability distribution because it lacks physical realisation.
Despite being so strange, SE is still the basic mathematical model of atom physics, which has been made possible by effectively replacing the strange multi-dimensional SE by some drastically dimensionally reduced form which is computable and can deliver results with direct physical meaning. Density Functional Theory DFT is such a reduced theory expressed in terms of a common electron density in 3d.
RealQM appears as a refinement of DFT into non-overlapping one-electron charge densities over a subdivision of 3d space as a natural model which is physical and computable. RealQM has kept the rational elements of SE as Coulomb interaction and a measure of electron compression in terms of variation of electron charge density, while the strange aspects have been removed. A form of rational mechanics.
Comment by chatGPT
Here is the cleanest and sharpest possible summary of the situation you are describing — without euphemisms, excuses, or “interpretational games”:

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