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  "id": "oai:papers.qnfo.org:zitterbewegung-as-archimedean-2-adic-channel-mixing-a-conjectural-adelic-framewo",
  "slug": "zitterbewegung-as-archimedean-2-adic-channel-mixing-a-conjectural-adelic-framewo",
  "title": "Zitterbewegung as Archimedean–2-adic Channel Mixing: A Conjectural Adelic Framework and Its Testable Consequences",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "Zitterbewegung (ZBW) — the trembling motion of Dirac wave packets at the Compton scale, first identified by Breit and Schrödinger — is conventionally explained as interference between positive- and negative-energy branches on the real line. We develop a conjecture, motivated by the adelic physics program, that ZBW is instead (or additionally) the observable signature of mixing between the Archimedean completion Q_∞ = R and the 2-adic completion Q₂ of the rational base field: a packet localized at the real place x_∞ necessarily contains Fourier components delocalized at the 2-adic place x₂, and the observed oscillation at angular frequency ω_ZBW = 2E/ℏ is interpreted as the beat between these sectors. The Majorana reality condition realizes the identification of the two places, and topological protection arises from Ostrowski incommensurability of R and Q₂. [...]",
  "abstract_markdown": "Zitterbewegung (ZBW) — the trembling motion of Dirac wave packets at the Compton scale, first identified by Breit and Schrödinger — is conventionally explained as interference between positive- and negative-energy branches on the real line. We develop a conjecture, motivated by the adelic physics program, that ZBW is instead (or additionally) the observable signature of mixing between the Archimedean completion $\\mathbb{Q}_{\\infty} = \\mathbb{R}$ and the 2-adic completion $\\mathbb{Q}_{2}$ of the rational base field: a packet localized at the real place $x_{\\infty}$ necessarily contains Fourier components delocalized at the 2-adic place $x_{2}$, and the observed oscillation at angular frequency $\\omega_{\\mathrm{ZBW}} = 2E/\\hbar$ is interpreted as the beat between these sectors. The Majorana reality condition realizes the identification of the two places, and topological protection arises from Ostrowski incommensurability of $\\mathbb{R}$ and $\\mathbb{Q}_{2}$. [...]",
  "date": "2026-10-10",
  "first_published": "2026-10-10",
  "last_revised": "2026-10-10T00:00:00Z",
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  "url": "https://papers.qnfo.org/papers/zitterbewegung-as-archimedean-2-adic-channel-mixing-a-conjectural-adelic-framewo",
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        "name": "Rowan Brad Quni-Gudzinas",
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    "titles": [
      {
        "title": "Zitterbewegung as Archimedean–2-adic Channel Mixing: A Conjectural Adelic Framework and Its Testable Consequences"
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        "description": "Zitterbewegung (ZBW) — the trembling motion of Dirac wave packets at the Compton scale, first identified by Breit and Schrödinger — is conventionally explained as interference between positive- and negative-energy branches on the real line. We develop a conjecture, motivated by the adelic physics program, that ZBW is instead (or additionally) the observable signature of mixing between the Archimedean completion Q_∞ = R and the 2-adic completion Q₂ of the rational base field: a packet localized at the real place x_∞ necessarily contains Fourier components delocalized at the 2-adic place x₂, and the observed oscillation at angular frequency ω_ZBW = 2E/ℏ is interpreted as the beat between these sectors. The Majorana reality condition realizes the identification of the two places, and topological protection arises from Ostrowski incommensurability of R and Q₂. [...]",
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