torsdag 18 september 2025

No Progress on Foundational Problems of QM?!

The foundational problems of Quantum Mechanics QM formulated when QM was born 100 years ago include:

  1. Derivation of Schrödinger's Equation SE from physical principles.
  2. Physical meaning/interpretation of wave function as solution to SE.
  3. Collapse of wave function. Measurement. Role of Observer. 
  4. Exponential computational complexity. 
When I ask chatGPT about main advancement as concerns foundations of QM, I get the answer: 
  • Bell's theorem + experiments showing that a local hidden variable theory is not possible.
This result says nothing about 1-4. 

When I confront chatGPT with the above, I get the following summary:
  • So the honest state of play: after 100 years, the big puzzles are still puzzles. What has changed is that we now have sharper theorems, operational frameworks, and experimental constraints. The problems haven’t been solved — they’ve been better defined.
Try yourself for a more detailed response. We expect chatGPT to tell what physicists say, not hallucinate what physicists do not say.  

What we see is an expression of the crisis of modern physics witnessed by leading physicists: No progress on the foundations of QM. The foundational problems formulated in 1925 are all left without resolution. A physicist will tell you that anyway QM works perfect to predict outcomes of experiments, and that it does not matter that nobody understands why. QM just works fine in its original form and it is meaningless to ask for something else: "Shut up and calculate".  

There are always open problems in a physical theory about reality as a sign that the theory is alive, but if problems concerning the very foundations of a physical theory appear to be unsolvable over a very long time, as is the case with QM, then it becomes more and more urgent to check out if the theory is not well formulated and so needs a reformulation to allow a solid foundation.

This seems to be the case with QM since 1-4 are still without answers. 

So what is the main problem with QM in its standard text book form as StdQM? One aspect directly stands out:
  • The wave function $\Psi (x_1,x_2,....,x_N)$ for an atom with $N$ electrons depends on $N$ 3d coordinates $x_1$,$x_2$,...,$x_N$ thus on altogether $3N$ spatial coordinates. 
This means that the wave function $\Psi$ has no direct ontological physical meaning and so has no physical representation showing what is. The meaning given to $\Psi$ is instead epistemological in the sense of what we can know as observers. Max Born gave $\Psi$ such a meaning in terms of statistics of experimental outcomes, which saved the day in 1925, but presented unsolvable problems, which have haunted modern physics into the presents crisis.

The multi-dimensionality of the wave function is involved in all the problems 1-4, and so it is not far-fetched to suspect that it is the origin to all the foundational problems. 

This leads to asking: Is there an alternative wave function which only depends on the 3 spatial dimensions of real physical space?  Yes there is: Real Quantum Mechanics RealQM offering:
  1. A New Schrödinger Equation NSE based on physical principles .
  2. Clear physical meaning of wave function as solution to NSE.
  3. Observer independent.   
  4. Linear computational complexity. 
Compare with what leading physicists over the years have said about the lack of answers to the foundational questions:
  • Niels Bohr
    "Anyone who is not shocked by quantum theory has not understood it."

  • Werner Heisenberg
    "The atoms or elementary particles themselves are not real; they form a world of potentialities or possibilities rather than one of things or facts."

  • Albert Einstein (skeptical)
    "God does not play dice with the universe."

  • Wolfgang Pauli
    "One should no more rack one’s brain about the problem of whether something one cannot know anything about exists, than about the ancient question of how many angels are able to sit on the point of a needle."

  • Richard Feynman
    "I think I can safely say that nobody understands quantum mechanics."

  • John Archibald Wheeler
    "No phenomenon is a real phenomenon until it is an observed phenomenon."

  • J. Robert Oppenheimer
    "If we ask, for instance, whether the position of the electron remains the same, we must say 'no'; if we ask whether the electron’s position changes with time, we must say 'no'; if we ask whether the electron is at rest, we must say 'no'; if we ask whether it is in motion, we must say 'no'."

  • Stephen Hawking
    "When we cannot predict, we cannot say we understand."

  • Steven Weinberg
    "In the Copenhagen interpretation, there is no reality until observation. The more we study quantum mechanics, the less clear it becomes what reality is."

  • Roger Penrose
    "Quantum mechanics makes absolutely no sense." (in the sense that it works perfectly but defies ordinary logic).


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