Collapse of the many-worlds interpretation: Why Everett's theory is typically wrong

• URL: http://arxiv.org/abs/2109.10646v1
• Date: Wed, 22 Sep 2021 10:48:44 GMT
• Title: Collapse of the many-worlds interpretation: Why Everett's theory is typically wrong
• Authors: Aur\'elien Drezet
• Abstract summary: We study in details the weak law of large numbers and the role of typicality and universally negligible probabilities. We demonstrate that Everett's theory doesn't provide any clue for fixing a probability rule.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We analyze the objective meaning of probabilities in the context of the many-worlds interpretation of Everett. For this purpose we study in details the weak law of large numbers and the role of typicality and universally negligible probabilities (through the works of Cournot and Borel). We demonstrate that Everett's theory doesn't provide any clue for fixing a probability rule and therefore contradicts irrevocably empirical facts and Born's law.

Related papers

• Scoring Rules and Calibration for Imprecise Probabilities [7.289672463326423]
  We argue that proper scoring rules and calibration serve two distinct goals, which are aligned in the precise case, but intriguingly are not necessarily aligned in the case. We demonstrate the theoretical insights in machine learning practice, in particular we illustrate subtle pitfalls relating to the choice of loss function in distributional robustness.
  arXiv  Detail & Related papers  (2024-10-30T13:29:47Z)
• Sherlock Holmes Doesn't Play Dice: The significance of Evidence Theory for the Social and Life Sciences [0.0]
  Evidence Theory can express the uncertainty deriving from the fear that events may materialize. Probability Theory must limit itself to the possibilities that a decision-maker is currently envisaging.
  arXiv  Detail & Related papers  (2023-09-01T07:52:28Z)
• Decoherence, Branching, and the Born Rule in a Mixed-State Everettian Multiverse [0.0]
  Recent works in quantum foundations suggest that it is viable to consider a mixed-state Everettian multiverse. We extend the standard Everettian justifications for the Born rule to this setting. This extended framework provides a unification of 'classical' and 'quantum' probabilities, and additional theoretical benefits.
  arXiv  Detail & Related papers  (2023-07-25T03:10:53Z)
• An Elementary Proof That Everett's Quantum Multiverse Is Nonlocal: Bell-Locality and Branch-Symmetry in the Many-Worlds Interpretation [0.0]
  Everett's many-worlds or multiverse theory is an attempt to find an alternative to the standard Copenhagen interpretation of quantum mechanics. Here, we show that this is not the case and debunk the contradictions by analyzing in detail the Greenberger--Horne--Zeilinger (GHZ) nonlocality theorem.
  arXiv  Detail & Related papers  (2023-06-13T14:15:56Z)
• Foundations of non-commutative probability theory (Extended abstract) [1.8782750537161614]
  Kolmogorov's setting for probability theory is given an original generalization to account for probabilities arising from Quantum Mechanics. The sample space has a central role in this presentation and random variables, i.e., observables, are defined in a natural way.
  arXiv  Detail & Related papers  (2023-06-01T20:34:01Z)
• Experimental Demonstration that No Tripartite-Nonlocal Causal Theory Explains Nature's Correlations [3.7055392730866776]
  Quantum theory predicts the existence of genuinely tripartite-entangled states, which cannot be obtained from local operations. In this work, we verify that such tripartite correlations are experimentally achievable.
  arXiv  Detail & Related papers  (2022-01-30T09:00:16Z)
• Uncertainty measures: The big picture [7.655239948659381]
  We show that a wide array of theories of uncertainty have been proposed, many of them generalisations of classical probability. Our goal is a critical appraisal of the current landscape in uncertainty theory.
  arXiv  Detail & Related papers  (2021-04-14T13:11:20Z)
• Everettian probabilities, the Deutsch-Wallace theorem and the Principal Principle [0.0]
  Itamar Pitowsky's thinking about probability in quantum theory from 1994 to 2008 is discussed. The status of David Lewis' influential Principal Principle is critically examined. The Deutsch-Wallace (DW) theorem in quantum mechanics is critically examined.
  arXiv  Detail & Related papers  (2020-10-22T10:43:37Z)
• Explainable Automated Reasoning in Law using Probabilistic Epistemic Argumentation [6.85316573653194]
  We introduce a general scheme to model legal cases as probabilistic argumentation problems. We show how evidence can be modeled and sketch how explanations for legal decisions can be generated automatically. Our framework is easily interpretable, can deal with cyclic structures and guarantees imprecise-time probabilistic reasoning in the worst-case.
  arXiv  Detail & Related papers  (2020-09-12T15:40:42Z)
• Quantum Immortality and Non-Classical Logic [0.0]
  The Everett Box is a device in which an observer and a lethal quantum apparatus are isolated from the rest of the universe. We show that although the standard Everett argument rejecting non-MWI interpretations is no longer valid, we can show that Everett's conclusion still holds within a computable universe.
  arXiv  Detail & Related papers  (2020-07-20T02:38:39Z)
• Belief functions induced by random fuzzy sets: A general framework for representing uncertain and fuzzy evidence [6.713564212269253]
  We generalize Zadeh's notion of "evidence of the second kind" We show that it makes it possible to reconcile the possibilistic interpretation of likelihood with Bayesian inference.
  arXiv  Detail & Related papers  (2020-04-24T10:14:54Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.