保存先:
| 第一著者: | |
|---|---|
| フォーマット: | Recurso digital |
| 言語: | 英語 |
| 出版事項: |
Zenodo
2026
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| 主題: | |
| オンライン･アクセス: | https://doi.org/10.5281/zenodo.20401480 |
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- <p>This preprint develops a toroidal closure-cell representation of the Quantized Dimensional Ledger persistence signature L^3F^2. The construction interprets L^3 as effective spatial occupancy and F^2 as two-cycle recurrence, represented by a compact toroidal recurrence candidate T_{n,m} with winding data, sectoral data, effective occupancy volume, and recurrence frequencies. A toroidal QDC measure QDC_T = V_T omega_1 omega_2 is introduced, and physical persistence is defined by survival under a toroidal QDL closure functional.</p> <p>The paper emphasizes that the toroidal closure cell is not a material aether, classical medium, or claim that physical space contains literal toroidal objects. It is a closure-space representation of Planck-normalized dimensional recurrence. The work includes Planck-normalized anchors such as GM having dimensional form L^3F^2, the Planck identity GM_P = L_P^3 F_P^2, and the reduced Compton-gravity threshold m_* = m_P / sqrt(2).</p> <p>To connect the construction with established theoretical physics, the paper applies the closure-vector method to a representative Standard Model Effective Field Theory audit. Dimension-six Warsaw-basis operator classes are assigned reduced closure vectors, and selected anomalous-dimension structures are classified as closure-preserving, closure-compensated, or residual-forcing. The SMEFT section is not a completed full anomalous-dimension matrix audit; it is a reproducible criterion for testing whether known nonzero operator-mixing entries preserve declared closure vectors or require explicit Standard Model compensators.</p> <p>The paper is part of the QDL closure-admissibility program and is intended as a full archival version for Zenodo. Conditional extensions to particle-sector classification, vacuum filtering, mass-spectrum projections, and quantum-geometric state selection are identified as future tests rather than established results.</p>