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    "story_id": "mp-2026-07-13-012",
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    "headline": "Quantum Theory Finds a Real-Number Route",
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    "dek": "Physicists replaced one restrictive composition rule and derived real-number theories that make the same experimental predictions as conventional quantum mechanics.",
    "summary": "Physicists replaced one restrictive composition rule and derived real-number theories that make the same experimental predictions as conventional quantum mechanics.",
    "body_text": "Researchers at Heinrich Heine University Düsseldorf and the German Aerospace Center revisited the claim that quantum mechanics fundamentally requires complex numbers. By changing how composite systems are represented, they found a family of real-number formulations that are experimentally indistinguishable from the conventional theory. The Physical Review Letters paper does not make imaginary numbers useless; it narrows what experiments can establish about whether complex numbers are a physical necessity or an especially convenient language.",
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      "The Physical Review Letters paper does not make imaginary numbers useless; it narrows what experiments can establish about whether complex numbers are a physical necessity or an especially convenient language."
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    "first_published_at": "2026-07-13T09:00:00.000-04:00",
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        "qualification": "The Physical Review Letters paper does not make imaginary numbers useless; it narrows what experiments can establish about whether complex numbers are a physical necessity or an especially convenient language."
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    "tags": [
      "quantum mechanics",
      "mathematics",
      "real numbers",
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  "sources": [
    {
      "source_id": "source-2026-07-13-012",
      "title": "ScienceDaily from Heinrich Heine University Düsseldorf",
      "publisher": "ScienceDaily",
      "url": "https://www.sciencedaily.com/releases/2026/07/260713000807.htm",
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    "title": "Quantum Theory Finds a Real-Number Route",
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