TL;DR
The paper challenges the direct application of Born's rule for probabilities in a large universe and proposes an alternative method involving averaging over small regions to compute observational probabilities.
Contribution
It introduces a new approach to calculating observational probabilities by averaging over small universe regions and applying Born's rule conditionally, addressing issues in large universe quantum cosmology.
Findings
Direct application of Born's rule is insufficient in large universes.
Averaged density matrices can be used to compute observational probabilities.
Conditional probabilities improve the consistency of quantum cosmological predictions.
Abstract
A simple proof is given that the probabilities of observations in a large universe are not given directly by Born's rule as the expectation values of projection operators in a global quantum state of the entire universe. An alternative procedure is proposed for constructing an averaged density matrix for a random small region of the universe and then calculating observational probabilities indirectly by Born's rule as conditional probabilities, conditioned upon the existence of an observation.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsQuantum Mechanics and Applications · Noncommutative and Quantum Gravity Theories · Quantum Information and Cryptography