{
  "id": "oai:papers.qnfo.org:re-entry-modes-in-solid-state-quantum-devices-a-calculus-of-distinctions-with-fu",
  "slug": "re-entry-modes-in-solid-state-quantum-devices-a-calculus-of-distinctions-with-fu",
  "title": "Re‑Entry Modes in Solid‑State Quantum Devices: A Calculus of Distinctions with Fully Shown Quantitative Benchmarks",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "Re‑entry, the self‑referential insertion of a distinction into its own indicational space, is a primitive operation identified in the Laws of Form tradition. Whether this operation can be given operational meaning in solid‑state quantum devices is unknown. Existing solid‑state literature reports phenomena that naturally instantiate self‑referential behavior, but no quantitative anchors have been extracted. We therefore (i) formalize re‑entry as a recursive map on a device’s distinction space, (ii) classify three concrete re‑entry modes—coherent adiabatic re‑entry, tunneling re‑entry, and thermodynamic re‑entry—grounded in the cited literature, (iii) derive fully shown arithmetic for thermal energy scales, the Schottky‑anomaly peak position and height, stoichiometric tolerance windows, and synthesis‑scale energies, and (iv) present these numbers as quantitative anchors for future experiments. The principal results are: (a) thermal energies E_T=8.62×10^-5 eV, 8.62×10^-6 eV, and 1.72×10^-3 eV at 1 K, 0.1 K, and 20 K respectively; (b) a Schottky peak at x^*=2.3993 with height C_max=0.439 R≈3.65 J mol^-1 K^-1; (c) stoichiometric window width Δ y=0.9 with asymmetry 11.1\\%; (d) synthesis thermal energy k_BT=0.16142 eV and pressure P=1.33×10^-3 Pa. These anchors enable concrete design decisions for solid‑state platforms and define clear falsification criteria.",
  "abstract_markdown": "Re‑entry, the self‑referential insertion of a distinction into its own indicational space, is a primitive operation identified in the Laws of Form tradition. Whether this operation can be given operational meaning in solid‑state quantum devices is unknown. Existing solid‑state literature reports phenomena that naturally instantiate self‑referential behavior, but no quantitative anchors have been extracted. We therefore (i) formalize re‑entry as a recursive map on a device’s distinction space, (ii) classify three concrete re‑entry modes—coherent adiabatic re‑entry, tunneling re‑entry, and thermodynamic re‑entry—grounded in the cited literature, (iii) derive fully shown arithmetic for thermal energy scales, the Schottky‑anomaly peak position and height, stoichiometric tolerance windows, and synthesis‑scale energies, and (iv) present these numbers as quantitative anchors for future experiments. The principal results are: (a) thermal energies $E_T=8.62\\times10^{-5}$ eV, $8.62\\times10^{-6}$ eV, and $1.72\\times10^{-3}$ eV at 1 K, 0.1 K, and 20 K respectively; (b) a Schottky peak at $x^{*}=2.3993$ with height $C_{\\max}=0.439\\,R\\approx3.65$ J mol$^{-1}$ K$^{-1}$; (c) stoichiometric window width $\\Delta y=0.9$ with asymmetry $11.1\\%$; (d) synthesis thermal energy $k_BT=0.16142$ eV and pressure $P=1.33\\times10^{-3}$ Pa. These anchors enable concrete design decisions for solid‑state platforms and define clear falsification criteria.",
  "date": "2026-10-11",
  "first_published": "2026-10-11",
  "last_revised": "2026-10-20T10:51:17Z",
  "modified": "2026-10-20T10:51:17Z",
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  "language": "en",
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  "peer_review_status": "Not independently peer-reviewed",
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  "doi": null,
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  "url": "https://papers.qnfo.org/papers/re-entry-modes-in-solid-state-quantum-devices-a-calculus-of-distinctions-with-fu",
  "license_url": "https://legal.qnfo.org/",
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  "sha256": "8e7ab38deae7e3be8e0d9e0358a99495f10aed9566072db4c10acc5260a83f66",
  "version_url": "https://papers.qnfo.org/papers/re-entry-modes-in-solid-state-quantum-devices-a-calculus-of-distinctions-with-fu/v/2.0.0",
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    "creators": [
      {
        "name": "Rowan Brad Quni-Gudzinas",
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    "titles": [
      {
        "title": "Re‑Entry Modes in Solid‑State Quantum Devices: A Calculus of Distinctions with Fully Shown Quantitative Benchmarks"
      }
    ],
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    "publicationYear": "2026",
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    "dates": [
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        "date": "2026-10-11",
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        "description": "Re‑entry, the self‑referential insertion of a distinction into its own indicational space, is a primitive operation identified in the Laws of Form tradition. Whether this operation can be given operational meaning in solid‑state quantum devices is unknown. Existing solid‑state literature reports phenomena that naturally instantiate self‑referential behavior, but no quantitative anchors have been extracted. We therefore (i) formalize re‑entry as a recursive map on a device’s distinction space, (ii) classify three concrete re‑entry modes—coherent adiabatic re‑entry, tunneling re‑entry, and thermodynamic re‑entry—grounded in the cited literature, (iii) derive fully shown arithmetic for thermal energy scales, the Schottky‑anomaly peak position and height, stoichiometric tolerance windows, and synthesis‑scale energies, and (iv) present these numbers as quantitative anchors for future experiments. The principal results are: (a) thermal energies E_T=8.62×10^-5 eV, 8.62×10^-6 eV, and 1.72×10^-3 eV at 1 K, 0.1 K, and 20 K respectively; (b) a Schottky peak at x^*=2.3993 with height C_max=0.439 R≈3.65 J mol^-1 K^-1; (c) stoichiometric window width Δ y=0.9 with asymmetry 11.1\\%; (d) synthesis thermal energy k_BT=0.16142 eV and pressure P=1.33×10^-3 Pa. These anchors enable concrete design decisions for solid‑state platforms and define clear falsification criteria.",
        "descriptionType": "Abstract"
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