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July 7, 2026Open Access

One State, Many Perspectives: Everett's Interpretation Without Worlds, and Without a Special Problem of Probability

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Authors

BDBertrand Dalimier

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Overview

The article argues that Everett's interpretation clarifies probability issues, showing no special challenges exist.

Key Points

  • The research aims to clarify criticisms of Everett's interpretation of quantum mechanics, particularly regarding probability.
  • Developed a unique theorem, T*, addressing the probability problem.
  • Reduced T* to existing theorems—Gleason (1957) and Short (2023)—via non-contextuality and grain coherence.
  • Verified the central theorem using Lean 4 with Mathlib.
  • The Born rule is uniquely validated via theorem T*, showing its independence of description grain and observer convergence.
  • Convergence of probabilities is confirmed as a corollary of this framework.
  • Determined that observers are ignorant of their own state in the Everett interpretation, accessing records for self-location.

Cite This Study

Bertrand Dalimier (2026) studied this question.

synapsesocial.com/papers/6a4c9711331bc25c9e5f427ehttps://doi.org/10.5281/zenodo.21205882
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1One State, Many Perspectives: Everettian Quantum Mechanics Without Worlds and Without a Special Probability Problem2026
  2. 2One State, Many Perspectives: Branch Structure and Born Weights in Everettian Quantum Mechanics2026
  3. 3A Pedagogical Matrix Derivation of the Many-Worlds Interpretation and Its Comparison with Copenhagen and Classical Probability2026
  4. 4The Timeless Cosmic Branching Mechanism: A Philosophical Reconciliation of General Relativity and the Many-Worlds Interpretation of Quantum Mechanics.2025
  5. 5Local Everettianism and Asymmetric Relative Statehood2025