I mean that if turing machine is computing universe according to the laws of quantum mechanics, observers in such universe would be distributed uniformly, not by Born probability. So you either need some modification to current physics, such as mangled worlds, or you can postulate that Born probabilities are truly random.
I mean that if turing machine is computing universe according to the laws of quantum mechanics,
I assume you mean the laws of QM except the collapse postulate.
observers in such universe would be distributed uniformly,
Not at all. The problem is that their observations would mostly not be in a classical basis.
not by Born probability.
Born probability relates to observations, not observers.
So you either need some modification to current physics, such as mangled worlds,
Or collapse. Mangled worlds is kind of a nothing burger—its a variation on the idea than interference between superposed states leads to both a classical basi and the Born probabilities, which is an old idea, but wihtout making it any more quantiative.
or you can postulate that Born probabilities are truly random.
Not at all. The problem is that their observations would mostly not be in a classical basis.
I phrased it badly, but what I mean is that there is a simulation of Hilbert space, where some regions contain patterns that can be interpreted as observers observing something, and if you count them by similarity, you won’t get counts consistent with Born measure of these patterns. I don’t think basis matters in this model, if you change basis for observer, observations and similarity threshold simultaneously? Change of basis would just rotate or scale patterns, without changing how many distinct observers you can interpret them as, right?
??
Collapse or reality fluid. The point of mangled worlds or some other modification is to evade postulating probabilities on the level of physics.
Oh ? What do you mean !
I don’t know about mangled worlds
https://mason.gmu.edu/~rhanson/mangledworlds.html
I mean that if turing machine is computing universe according to the laws of quantum mechanics, observers in such universe would be distributed uniformly, not by Born probability. So you either need some modification to current physics, such as mangled worlds, or you can postulate that Born probabilities are truly random.
I assume you mean the laws of QM except the collapse postulate.
Not at all. The problem is that their observations would mostly not be in a classical basis.
Born probability relates to observations, not observers.
Or collapse. Mangled worlds is kind of a nothing burger—its a variation on the idea than interference between superposed states leads to both a classical basi and the Born probabilities, which is an old idea, but wihtout making it any more quantiative.
??
I phrased it badly, but what I mean is that there is a simulation of Hilbert space, where some regions contain patterns that can be interpreted as observers observing something, and if you count them by similarity, you won’t get counts consistent with Born measure of these patterns. I don’t think basis matters in this model, if you change basis for observer, observations and similarity threshold simultaneously? Change of basis would just rotate or scale patterns, without changing how many distinct observers you can interpret them as, right?
Collapse or reality fluid. The point of mangled worlds or some other modification is to evade postulating probabilities on the level of physics.