phiTGT: RP² Topological DHOST Ia Framework—10D Phase Space Single Scalar DOF Analysis
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| Sprache: | Englisch |
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2026
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| _version_ | 1866901990942965760 |
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| author | Cheng, Yi-Wen |
| author_facet | Cheng, Yi-Wen |
| contents | <p>phiTGT: RP² Topological DHOST Ia Framework—10D Phase Space Single Scalar DOF AnalysisAbstract:<br>The phiTGT framework establishes an RP² topological prototype for systematic analysis of DHOST Ia theory's pure scalar toy sector Hessian quintuple degeneracy conditions Q1-Q5. Constant solutions b1 = α, b2 = β satisfy all degeneracy conditions. In the 10D extended phase space, Dirac-Bergmann analysis yields 2 first-class and 4 second-class constraints, degenerating to Nphys = 1 effective scalar degree of freedom. Three-stage verification confirms numerical stability: sound speed c²s = 1 ± 10⁻¹⁵, Hamiltonian conservation ∆H∗ < 10⁻¹⁴. Phenomenological predictions include PTA pulsar timing residual δτ < 10 ns and LISA gravitational wave speed deviation δcgw < 10⁻¹⁵, consistent with GW170817 bounds.Keywords: DHOST theory, Hessian matrix degeneracy, RP² topology, Dirac-Bergmann constraints, 10D phase space, phase space topology, PTA phenomenology</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18358872 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | phiTGT: RP² Topological DHOST Ia Framework—10D Phase Space Single Scalar DOF Analysis Cheng, Yi-Wen DHOST theory, Hessian matrix degeneracy, RP² topology, Dirac-Bergmann constraints, 10D phase space, phase space topology <p>phiTGT: RP² Topological DHOST Ia Framework—10D Phase Space Single Scalar DOF AnalysisAbstract:<br>The phiTGT framework establishes an RP² topological prototype for systematic analysis of DHOST Ia theory's pure scalar toy sector Hessian quintuple degeneracy conditions Q1-Q5. Constant solutions b1 = α, b2 = β satisfy all degeneracy conditions. In the 10D extended phase space, Dirac-Bergmann analysis yields 2 first-class and 4 second-class constraints, degenerating to Nphys = 1 effective scalar degree of freedom. Three-stage verification confirms numerical stability: sound speed c²s = 1 ± 10⁻¹⁵, Hamiltonian conservation ∆H∗ < 10⁻¹⁴. Phenomenological predictions include PTA pulsar timing residual δτ < 10 ns and LISA gravitational wave speed deviation δcgw < 10⁻¹⁵, consistent with GW170817 bounds.Keywords: DHOST theory, Hessian matrix degeneracy, RP² topology, Dirac-Bergmann constraints, 10D phase space, phase space topology, PTA phenomenology</p> |
| title | phiTGT: RP² Topological DHOST Ia Framework—10D Phase Space Single Scalar DOF Analysis |
| topic | DHOST theory, Hessian matrix degeneracy, RP² topology, Dirac-Bergmann constraints, 10D phase space, phase space topology |
| url | https://doi.org/10.5281/zenodo.18358872 |