Recent content by Sargon38

That's not my impression. Very long ago when I was a mentor here under my real world name, these kinds of discussions where less agressive and more enlightening.

That is in fact a very good analogy, as far as analogies go. What I'm saying here is indeed equivalent to: "what characterises the relativistic composition of velocities, is that you can't use the vector addition of velocities". If people would ask me what is the characteristic of relativistic...

That's trivially true because of course ANY experiment that can really be done will ALWAYS be describable by standard probabilities. Nothing that can really be done in the lab will ever "break" standard probability axioms. There is of course no "executable set of observations" which can ever...

Well, this is what you can understand, for instance, if you look at p 59 of the first volume of Messiah, section 8: "universal Character of the Wave-Corpuscle Duality". I cite: "they appear under two apparently irreconcilable aspects, the wave aspect on the one hand, exhibiting the superposition...

To continue with this, I wonder in fact if we can have a similar demonstration of violation of existence of counterfactual probabilities on a "simple" quantum state that one wouldn't call "an entangled state", say a single scalar particle system. Is there a way to have different measurements on...

Is that so ? My idea was that there doesn't exist a global probability universe that *at the same time* can explain the different angular correlations in a typical Bell experiment. Of course, one can sneak out by saying that there are "non-local interactions as a result of the changing...

This sounds like wanting to ban the word "Euclidean" in a discussion of hyperbolic geometry and the fifth postulate :oldbiggrin:

Well, there are equivalent terms like "standard" probabilities, "classical" probabilities and so on because I had the impression people got nervous at the term Kolmogorov. The problem with using "classical" is that this might be mis-interpreted as being something related to "classical physics"...

I thought that the Kolmogorov axioms of a probability distribution over a universe ##\Omega## were sufficiently standard. I mean standard schoolbook probability theory as it is usually taught in any course on probability theory. This in order to distinguish this from any funny variants such as...

In what way would ##\cos^2 (\theta_A - \theta_B) ## not be a probability distribution that satisfies the standard (Kolmogorov) properties of probability theory ? What's so impossible to the statement "if you put your polarizers ##\theta## degrees apart, you're going to measure a correlation in...

Quantum mechanics always spits out Kolmogorov probabilities for all measurable quantities. QM never produces "non-classical" probabilities in non-counterfactual situations. You always get "normal" probabilities over any complete set of compatible observables. But my point from the beginning...

The Bell inequalities only hold assuming a common single probability universe for outcomes that are counterfactual, that's the whole point of it. If you do not consider counterfactual situations in the same probability universe, then you cannot derive Bell's inequalities. It are not the real...

Ah, I thought that Bell's inequalities are what you are referring to, and that Bells' theorem was that certain entangled quantum states violate these inequalities if we produce counterfactual probabilities and correlations when looking in different non-compatible measurement bases. Now, I...

That's what I mean by "Kolmogorov", to distinguish this from some other, weird, "quantum probability" concept. I mean by Kolmogorov probabilities, standard, textbook, statistician, probabilities. Sorry for the confusion, I thought that it would rather remove them.

Yes, but the whole thing about Bell was exactly that two different subsystems (with the potential of being spatially remote) could be in a state that was NOT to be described by a statistical mixture. That was the exact content of Bell's theorem, and to me, the essence of what one calls...