- #1
name123
- 510
- 5
I may have misunderstood the expectation value, but if not then with the Copenhagen Interpretation it is easy to understand the expectation value for a wave function. It is just based on the probability of each event. If there were 4 possible events, and the probability of the event having a value of 1 was 0.1 and the probability of the event having a value of 2 was 0.2 and the probability of the event having a value of 3 was 0.3 the probability of the event having a value of 4 was 0.4 then (as I understand it) the expected value would be 0.1(1) + 0.2(2) + 0.3(3) + 0.4(4) = 3. The same as the expected value in probability theory for a ten sided dice which had one face with 1, two faces with 2, three faces with 3, and 4 faces with 4. So the theoretical basis would be clear (it is the same basis as with a dice).
But with the MWI the probability of each event would be 1, as each event happens. So what is the theoretical basis of applying the Born Rule in such a theory? For the expectation value for example. Because without one, it seems to me like an ad hoc application to explain why we expect to observe some results more frequently than others, and for the conservation of energy.
But with the MWI the probability of each event would be 1, as each event happens. So what is the theoretical basis of applying the Born Rule in such a theory? For the expectation value for example. Because without one, it seems to me like an ad hoc application to explain why we expect to observe some results more frequently than others, and for the conservation of energy.
Last edited: