Mind/matter duality

[little_monkey]

Quantum logic is slightly different than classical logic, but the difference amounts to a whole lot. Just as an illustration, the probability of rolling a 2 or a 5 from a die, would be P =1/6 + 1/6 = 1/3. Here I've just added the probabilities. But in QM, you would need to add amplitude and then square to get the probability. P = [ψ(2) +ψ(5)]^2 = ψ(2)ψ(2) + ψ(2)ψ(5) + ψ(5)ψ(2) + ψ(5)ψ(5). You get a whole bunch of terms that describe interference, which you don't get in classical physics. The real mystery of QM is why this works, and not some other scheme.

Hello Lil Monkey.

I'm a bit curious about you posing Quantum Mechanics "working" with a diferent set of logic slightly diferent to the classical one ( I once read a paper where they suggested it could work with paraconsistent logic, in order to allow for contradictions ).

¿Are you sure Quantum Mechanics really requires a new set of logical rules? I've heard there are at least 13 Interpretations to the Quantum Mechanical behaviour ( and for the moment all are valid in a sense ) and some work with "hidden variables" like De-Broglie Interpretation, that somehow can fool Bells Inequalities by accepting non-locality while conserving a form of determinism.
Maybe Quantum Mechanics is not that strange after all.

The probability is equal to the square of the amplitude is a fundamental postulate of QM. Its interpretation may be several, but its calculation isn't. There has been a debate about "hidden variables", also called "non-locality" or the one I prefer, "spooky action at a distance". None of that ever panned out. Unfortunately, once in a while you'll get a title from some magazine or website, someone testing Bell's theorem, and indeed QM is weird, spooky action has reared its ugly head. But once you read the article, it's nothing but a quantum system violating Bell's theorem, which a QM system will do on theoretical grounds due to... guess what? Well, to the fact that probability is calculated differently in QM than in classical physics.