Let quantum mechanics be granted as the rules generalizing all results of playing some imaginary God’s dice. If that is the case, one can ask how God’s dice should look like. This means the following in mathematical and physical terms:
If all possible...
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Let quantum mechanics be granted as the rules generalizing all results of playing some imaginary God’s dice. If that is the case, one can ask how God’s dice should look like. This means the following in mathematical and physical terms:
If all possible experimental results on a single quantum system can be represented by its wave function, which in turn is some point in Hilbert space, what is the elementary choice determining any single result unambiguously? In other words, what is the elementary event if the space of all events consists of all possible experimental results, which can be obtained for that system, in the sense of probability theory (and Kolmogorov’s axioms)?
One can visualize the problem by usual dice: any roll of the dice is both an elementary event and choice between six equally probable alternatives usually designated by 1, 2, 3, 4, 5, and 6. How many of different symbols would necessary be for “each side” of God’s dice?
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