The foundational problems of Quantum Mechanics QM formulated when QM was born 100 years ago include:
- Derivation of Schrödinger's Equation SE from physical principles.
- Physical meaning/interpretation of wave function as solution to SE.
- Collapse of wave function. Measurement. Role of Observer.
- Exponential computational complexity.
- Bell's theorem + experiments showing that a local hidden variable theory is not possible.
- 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.
- 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.
- A New Schrödinger Equation NSE based on physical principles .
- Clear physical meaning of wave function as solution to NSE.
- Observer independent.
- Linear computational complexity.
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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