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| 格式: | Recurso digital |
| 語言: | 英语 |
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Zenodo
2026
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| 主題: | |
| 在線閱讀: | https://doi.org/10.5281/zenodo.20191985 |
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| _version_ | 1866901543292239872 |
|---|---|
| author | Umihara, Hideo |
| author_facet | Umihara, Hideo |
| contents | <p>This research note proposes a minimal affine minisuperspace framework based on the concept of spectral inaccessibility on the half-line.</p> <p>Rather than removing singular sectors through Euclidean continuation or boundary regularization, the framework treats singularities as spectrally inaccessible regions located at infinite affine distance from finite-energy physical states.</p> <p>Using the logarithmic affine coordinate u = log a and the affine-invariant measure da/a, the singular boundary a = 0 is mapped to spectral infinity. The resulting structure naturally admits no-flux probability conditions and standard self-adjoint spectral evolution.</p> <p>The work is intended as a minimal mathematical prototype and exploratory research note connecting affine geometry, minisuperspace quantization, and spectral approaches to singular quantum structures.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20191985 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Notes on Spectral Inaccessibility on the Half-Line; A Minimal Affine Minisuperspace Model Umihara, Hideo Affine Quantization, Minisuperspace, Spectral Inaccessibility, Quantum Cosmology, Half-Line Quantization, Singularities, Spectral Geometry, Self-Adjoint Operators, Affine Geometry, Quantum Gravity, Wheeler-DeWitt Equation, Mathematical Physics <p>This research note proposes a minimal affine minisuperspace framework based on the concept of spectral inaccessibility on the half-line.</p> <p>Rather than removing singular sectors through Euclidean continuation or boundary regularization, the framework treats singularities as spectrally inaccessible regions located at infinite affine distance from finite-energy physical states.</p> <p>Using the logarithmic affine coordinate u = log a and the affine-invariant measure da/a, the singular boundary a = 0 is mapped to spectral infinity. The resulting structure naturally admits no-flux probability conditions and standard self-adjoint spectral evolution.</p> <p>The work is intended as a minimal mathematical prototype and exploratory research note connecting affine geometry, minisuperspace quantization, and spectral approaches to singular quantum structures.</p> |
| title | Notes on Spectral Inaccessibility on the Half-Line; A Minimal Affine Minisuperspace Model |
| topic | Affine Quantization, Minisuperspace, Spectral Inaccessibility, Quantum Cosmology, Half-Line Quantization, Singularities, Spectral Geometry, Self-Adjoint Operators, Affine Geometry, Quantum Gravity, Wheeler-DeWitt Equation, Mathematical Physics |
| url | https://doi.org/10.5281/zenodo.20191985 |