{
  "id": "oai:papers.qnfo.org:zbw-p5-capstone-synthesis",
  "slug": "zbw-p5-capstone-synthesis",
  "title": "Vanishing ZBW Signal: The ZBW-Majorana Hypothesis as a Unified Framework for Topological Fermion Distinction",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "The ZBW-Majorana hypothesis, developed across four companion papers (P1--P4), establishes that Zitterbewegung (ZBW) --- the rapid trembling motion of Dirac fermions at the Compton scale --- is a Z₂ topological observable that distinguishes Dirac from Majorana fermions at the hardware level. This capstone paper synthesises the six central claims of the ZBW-Majorana framework into a single logical chain: (1) the Majorana ZBW current-current correlator vanishes identically, (2) establishing the ZBW order parameter O_ZBW as a Z₂ topological invariant taking values $0$ (Majorana) or ≈ 1 (Dirac), (3) with intrinsic topological protection because no continuous perturbation can change a discrete invariant, (4) manifesting geometrically in a Bruhat--Tits transition graph with 57\\% fewer edges for Majorana fermions, (5) measurable through three complementary experimental protocols (spin noise spectroscopy, momentum-resolved EELS/RIXS, and Gromov δ measurement), and (6) with far-reaching implications for topological quantum computing, including a projective topological-state measurement and intrinsic error protection without active [...]",
  "abstract_markdown": "The ZBW-Majorana hypothesis, developed across four companion papers (P1--P4), establishes that Zitterbewegung (ZBW) --- the rapid trembling motion of Dirac fermions at the Compton scale --- is a $\\mathbb{Z}_2$ topological observable that distinguishes Dirac from Majorana fermions at the hardware level. This capstone paper synthesises the six central claims of the ZBW-Majorana framework into a single logical chain: (1) the Majorana ZBW current-current correlator vanishes identically, (2) establishing the ZBW order parameter $\\mathcal{O}_{\\text{ZBW}}$ as a $\\mathbb{Z}_2$ topological invariant taking values $0$ (Majorana) or $\\approx 1$ (Dirac), (3) with intrinsic topological protection because no continuous perturbation can change a discrete invariant, (4) manifesting geometrically in a Bruhat--Tits transition graph with 57\\% fewer edges for Majorana fermions, (5) measurable through three complementary experimental protocols (spin noise spectroscopy, momentum-resolved EELS/RIXS, and Gromov $\\delta$ measurement), and (6) with far-reaching implications for topological quantum computing, including a projective topological-state measurement and intrinsic error protection without active [...]",
  "date": "2026-07-25",
  "first_published": "2026-07-25",
  "last_revised": "2026-07-25T00:00:00Z",
  "modified": "2026-07-25T00:00:00Z",
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  "url": "https://papers.qnfo.org/papers/zbw-p5-capstone-synthesis",
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        "name": "Rowan Brad Quni-Gudzinas",
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    "titles": [
      {
        "title": "Vanishing ZBW Signal: The ZBW-Majorana Hypothesis as a Unified Framework for Topological Fermion Distinction"
      }
    ],
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    "publicationYear": "2026",
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    "dates": [
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        "date": "2026-07-25",
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        "description": "The ZBW-Majorana hypothesis, developed across four companion papers (P1--P4), establishes that Zitterbewegung (ZBW) --- the rapid trembling motion of Dirac fermions at the Compton scale --- is a Z₂ topological observable that distinguishes Dirac from Majorana fermions at the hardware level. This capstone paper synthesises the six central claims of the ZBW-Majorana framework into a single logical chain: (1) the Majorana ZBW current-current correlator vanishes identically, (2) establishing the ZBW order parameter O_ZBW as a Z₂ topological invariant taking values $0$ (Majorana) or ≈ 1 (Dirac), (3) with intrinsic topological protection because no continuous perturbation can change a discrete invariant, (4) manifesting geometrically in a Bruhat--Tits transition graph with 57\\% fewer edges for Majorana fermions, (5) measurable through three complementary experimental protocols (spin noise spectroscopy, momentum-resolved EELS/RIXS, and Gromov δ measurement), and (6) with far-reaching implications for topological quantum computing, including a projective topological-state measurement and intrinsic error protection without active [...]",
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