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January 26, 2026Open Access

Priority Note: Topological Protection Against the Born Rule

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Authors

BJBrent Wyatt Jonah

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Implication

The priority note reports topological phases affecting measurement probabilities in quantum systems, indicating conditional constraints.

Key Points

  • This research aims to explore deviations from the Born rule in quantum mechanics due to topological phases and computational complexity.
  • Investigated various system classes for adherence to the Born rule.
  • Ensured tested systems had non-degenerate ground states.
  • Tested robustness across multiple coupling strengths and construction methods.
  • Validated findings across all complexity classes with artifact controls.
  • Found that deviations from the Born rule were significant in topological and QMA-hard systems.
  • Noted a 20.5% deviation in topological (Kitaev) systems, and 25.7% in QMA-hard systems.
  • Validation shows that a majority of tested systems exhibit robust measurement blocking.

Cite This Study

Brent Wyatt Jonah (2026) studied this question.

synapsesocial.com/papers/697703f6722626c4468e8ec5https://doi.org/10.5281/zenodo.18359180
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Also Consider

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

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  3. 3The Born Rule Is Not an Axiom: Measurement as Coherence Selection, and the Resolution of the Quantum Measurement Problem2026
  4. 4Quantum Mechanics as Topological Intersection Theory: The Born Rule, Wavefunction Collapse, and Planck's Constant from Worldline Non-Injectivity2026
  5. 5The Nested Causal Pursuit of the Born Rule: Boundary Flux, Enclosure Refinement, and the Point of Rest with Quantum Theory2026