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Restoring Locality: The Heisenberg Picture as a Separable Description of Quantum Theory

arXiv Quantum Physics
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⚡ Quantum Brief
A 2026 arXiv paper argues quantum theory can preserve locality—contrary to traditional interpretations—by adopting the Heisenberg picture, where observables evolve while states remain fixed, aligning with Everettian (many-worlds) quantum mechanics. The work builds on Deutsch & Hayden’s 2000 proof showing Everettian quantum theory respects local realism, resolving the apparent conflict between quantum nonlocality and general relativity’s spacelike separation constraints. Key advances include "local branching," a mechanism where quantum correlations emerge from parallel, locally evolving branches rather than instantaneous influences, reinforcing compatibility with relativity. Author Sam Kuypers synthesizes recent progress, notably Raymond-Robichaud’s 2021 analysis, which generalizes locality conditions, further solidifying the Heisenberg picture as a separable, local framework for quantum dynamics. The paper positions Everettian quantum theory as a unifying bridge between quantum mechanics and relativity, potentially ending decades of debate over nonlocality in fundamental physics.
Restoring Locality: The Heisenberg Picture as a Separable Description of Quantum Theory

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Quantum Physics arXiv:2601.06522 (quant-ph) [Submitted on 10 Jan 2026] Title:Restoring Locality: The Heisenberg Picture as a Separable Description of Quantum Theory Authors:Sam Kuypers View a PDF of the paper titled Restoring Locality: The Heisenberg Picture as a Separable Description of Quantum Theory, by Sam Kuypers View PDF HTML (experimental) Abstract:Local realism has been the subject of much discussion in modern physics, partly because our deepest theories of physics appear to contradict one another in regard to whether reality is local. According to general relativity, it is, as physical quantities (perceptible or not) in two spacelike separated regions cannot affect one another. Yet, in quantum theory, it has traditionally been thought that local realism cannot hold and that such effects do occur. This apparent discrepancy between the two theories is resolved by Everettian quantum theory, as first proven by Deutsch & Hayden (2000). In this paper, I will explain how local realism is respected in quantum theory and review the advances in our understanding of locality since Deutsch & Hayden's work, including the concept of local branching and the more general analysis by Raymond-Robichaud (2021) Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2601.06522 [quant-ph] (or arXiv:2601.06522v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2601.06522 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Samuel Kuypers [view email] [v1] Sat, 10 Jan 2026 10:46:51 UTC (27 KB) Full-text links: Access Paper: View a PDF of the paper titled Restoring Locality: The Heisenberg Picture as a Separable Description of Quantum Theory, by Sam KuypersView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-01 References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) Links to Code Toggle Papers with Code (What is Papers with Code?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)

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Source: arXiv Quantum Physics