Symbolic, Falsifiable Framework for Warp-Like Spacetimes in General Relativity
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| Format: | Recurso digital |
| Langue: | anglais |
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2025
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| _version_ | 1866902031313141760 |
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| author | Hsu, Jonah |
| author_facet | Hsu, Jonah |
| contents | <p><span>The diverse zoo of warp metric models in general relativity lacks a unifying structure for systematic comparison and falsification. This study constructs a rigorous, symbolic framework to address this gap. We introduce a generalized warp metric ansatz defined by a finite set of deformation generators, allowing us to derive the Einstein equations and energy conditions in a symbolic, profile-independent form. Our main results are presented as a series of theorems. <strong>(T1)</strong> We establish a precise "falsifiability band," a region in the symbolic parameter space where the Null Energy Condition is necessarily violated. <strong>(T2)</strong> We prove that our framework recovers canonical solutions (e.g., Alcubierre, Natário) as specific submanifolds in the parameter space. <strong>(T3)</strong> We demonstrate the robustness of our energy condition tests under a general class of observer fields. This work, supported by reproducible code (DOI: 10.5281/zenodo.17251840), provides a systematic methodology for classifying and constraining warp-like geometries within classical general relativity.</span></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17285850 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Symbolic, Falsifiable Framework for Warp-Like Spacetimes in General Relativity Hsu, Jonah general relativity mathematical physics warp metrics energy conditions falsifiability symbolic computation <p><span>The diverse zoo of warp metric models in general relativity lacks a unifying structure for systematic comparison and falsification. This study constructs a rigorous, symbolic framework to address this gap. We introduce a generalized warp metric ansatz defined by a finite set of deformation generators, allowing us to derive the Einstein equations and energy conditions in a symbolic, profile-independent form. Our main results are presented as a series of theorems. <strong>(T1)</strong> We establish a precise "falsifiability band," a region in the symbolic parameter space where the Null Energy Condition is necessarily violated. <strong>(T2)</strong> We prove that our framework recovers canonical solutions (e.g., Alcubierre, Natário) as specific submanifolds in the parameter space. <strong>(T3)</strong> We demonstrate the robustness of our energy condition tests under a general class of observer fields. This work, supported by reproducible code (DOI: 10.5281/zenodo.17251840), provides a systematic methodology for classifying and constraining warp-like geometries within classical general relativity.</span></p> |
| title | Symbolic, Falsifiable Framework for Warp-Like Spacetimes in General Relativity |
| topic | general relativity mathematical physics warp metrics energy conditions falsifiability symbolic computation |
| url | https://doi.org/10.5281/zenodo.17285850 |