DRSN X: Mathematical Foundations of Drift Geometry (De Rerum Spectrale Natura, Report X, Version 2.0)
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| Format: | Recurso digital |
| Language: | English |
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Zenodo
2025
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| _version_ | 1866902337583316992 |
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| author | Pinho-da-Cruz, J. |
| author_facet | Pinho-da-Cruz, J. |
| contents | <p>We present a rigorous mathematical formulation of drift geometry, focusing on the functional–<br>analytic foundations underlying drifted Dirac operators. The drift deformation is analysed<br>as a similarity flow on unbounded self–adjoint operators, preserving spectral properties<br>while modifying lower–order structure. We establish domain stability, self–adjointness,<br>spectral invariance, and holomorphic dependence using Kato theory. This report provides<br>the mathematical closure of the DRSN programme, isolating the operator–theoretic core<br>underlying its geometric, physical, and quantum applications.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18011696 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | DRSN X: Mathematical Foundations of Drift Geometry (De Rerum Spectrale Natura, Report X, Version 2.0) Pinho-da-Cruz, J. Unbounded Operators; Dirac Operators; Spectral Theory; Kato Theory; Holomorphic Families; Noncommutative Geometry; Drift Geometry <p>We present a rigorous mathematical formulation of drift geometry, focusing on the functional–<br>analytic foundations underlying drifted Dirac operators. The drift deformation is analysed<br>as a similarity flow on unbounded self–adjoint operators, preserving spectral properties<br>while modifying lower–order structure. We establish domain stability, self–adjointness,<br>spectral invariance, and holomorphic dependence using Kato theory. This report provides<br>the mathematical closure of the DRSN programme, isolating the operator–theoretic core<br>underlying its geometric, physical, and quantum applications.</p> |
| title | DRSN X: Mathematical Foundations of Drift Geometry (De Rerum Spectrale Natura, Report X, Version 2.0) |
| topic | Unbounded Operators; Dirac Operators; Spectral Theory; Kato Theory; Holomorphic Families; Noncommutative Geometry; Drift Geometry |
| url | https://doi.org/10.5281/zenodo.18011696 |