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Zenodo
2026
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| Accesso online: | https://doi.org/10.5281/zenodo.18689445 |
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| _version_ | 1866901798364643328 |
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| author | Cuauhtemoc T., Vite |
| author_facet | Cuauhtemoc T., Vite |
| contents | <p>The Structural Infrared Separation Theorem establishes that meromorphic discrete dynamics and fractional branch-cut dynamics constitute disjoint analytic classes under weak infrared equivalence. This separation raises a natural structural question: how are these classes related under transformations that preserve dominant infrared behavior?</p> <p>In this work we introduce the category of infrared classes whose objects are equivalence classes under weak infrared equivalence and whose morphisms are IR-preserving transformations, defined by preservation of dominant infrared singularity type. Within this framework we prove that, although meromorphic discrete dynamics admit IR-preserving transitions to fractional branch-cut dynamics—such as those arising from continuum limits or coarse-graining procedures—no IR-preserving transformation exists that inverts this transition.</p> <p>The infrared landscape therefore exhibits categorical non-invertibility: analytic classes may be related by morphisms in one direction but not the other. This structural asymmetry follows solely from analytic properties of infrared singularities and does not depend on perturbative assumptions, model-specific constructions, or ontological interpretations.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18689445 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Infrared Structural Asymmetry between Meromorphic and Branch-Cut Dynamics Cuauhtemoc T., Vite <p>The Structural Infrared Separation Theorem establishes that meromorphic discrete dynamics and fractional branch-cut dynamics constitute disjoint analytic classes under weak infrared equivalence. This separation raises a natural structural question: how are these classes related under transformations that preserve dominant infrared behavior?</p> <p>In this work we introduce the category of infrared classes whose objects are equivalence classes under weak infrared equivalence and whose morphisms are IR-preserving transformations, defined by preservation of dominant infrared singularity type. Within this framework we prove that, although meromorphic discrete dynamics admit IR-preserving transitions to fractional branch-cut dynamics—such as those arising from continuum limits or coarse-graining procedures—no IR-preserving transformation exists that inverts this transition.</p> <p>The infrared landscape therefore exhibits categorical non-invertibility: analytic classes may be related by morphisms in one direction but not the other. This structural asymmetry follows solely from analytic properties of infrared singularities and does not depend on perturbative assumptions, model-specific constructions, or ontological interpretations.</p> |
| title | Infrared Structural Asymmetry between Meromorphic and Branch-Cut Dynamics |
| url | https://doi.org/10.5281/zenodo.18689445 |