Are World Counts the Key to Understanding the Born Rule?

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The discussion centers on the coherence of "world counting" in the context of the Everett interpretation of quantum mechanics and its implications for the Born rule. Key points include the assertion by Wallace and Greaves that if there are distinguishable branches or worlds, assigning probabilities based on world counts leads to contradictions with the Born rule. Wallace argues that world counting is incoherent due to the infinite-dimensional nature of realistic macroscopic systems, which complicates the definition of branches and their counts. He emphasizes that decoherence is a continuous process, making discrete counting problematic.Participants debate whether world counts can be meaningful in certain contexts, particularly when considering how our world appears to conform to the Born rule while many other worlds would not. Some argue that while world counting may be approximated, the assignment of equal probabilities to worlds lacks justification, especially given the rapid increase in the number of worlds over time.
  • #31
Ontoplankton said:
Still, there is something that bothers me. The extra branching process could happen later than the coinflip, right? In that case, you're letting probabilities be influenced by events that happen later in time. Does that make sense?

I don't see a problem with it.
 
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  • #32
straycat said:
according to the APP/outcome counting, if the extra branching process happens later than the coinflip, then the extra process does not influence the probability that the coinflip comes up heads or tails

If post-experiment branching doesn't matter, then isn't that already enough to complete the erasure proof in section 8?
 
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  • #33
Quantum Arson: You can win the lottery by resolving to burn a lot of stuff if you win, because that will generate a lot of entropy, so it will have happened in more worlds.
 
  • #34
RobinHanson said:
FYI, in the latest issue of the British Journal of the Philosophy of Science, Hillay Putnam has an article http://bjps.oxfordjournals.org/cgi/reprint/56/4/615" , wherein he rejects the many worlds view because of the conflict between world counting and the Born rule.

Unfortunately, Wash U does not have an online subscription to BJPS :mad: .

D
 
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  • #35
Ontoplankton said:
Quantum Arson: You can win the lottery by resolving to burn a lot of stuff if you win, because that will generate a lot of entropy, so it will have happened in more worlds.

No, this wouldn't work, because the APP, as I understand it, is transitive.

David
 
  • #36
I've started a new thread on a different but (obviously) closely related topic to this one.

"Attempts to make the Born rule "emerge" explicitly from outcome counting"

https://www.physicsforums.com/showthread.php?t=101982

If the Born rule can be made to emerge explicitly from world counts, then that would be an "existence proof" to the claim that the title-question of this thread is: no!

:smile:

David
 

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