phiTGT: RP² Topological DHOST Ia Framework—10D Phase Space Single Scalar DOF Analysis
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2026
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| _version_ | 1866901990966034432 |
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| author | Cheng, Yi-Wen |
| author_facet | Cheng, Yi-Wen |
| contents | <p>Title: phiTGT: RP² Topological DHOST Ia Framework - 10D Phase Space Single Scalar DOF AnalysisAbstract:</p> <p>The phiTGT framework introduces an RP² (Real Projective Plane) topological prototype for systematic analysis of quadratic DHOST Ia theory's Hessian quintuple degeneracy conditions Q₁–Q₅. Through RP²=S²/ℤ₂ identification, we prove constant solutions b₁=α, b₂=β satisfy all degeneracy conditions.In the 10D extended phase space Γ_ext={ϕᵢ,π_ϕᵢ,ψᵢ,π_ψᵢ,λ,π_λ}, Dirac-Bergmann analysis yields:2 first-class constraints: π_λ≈0, π_ψ₁+π_ψ₂≈04 second-class constraints:Σ₁=π_ψ₁-˙ψ₁-λ≈0Σ₂=π_ψ₂-˙ψ₂-λ≈0Σ₃=π_ϕ₁-(ψ₁+ψ₂)≈0Σ₄=π_ϕ₂-(ψ₁+ψ₂)≈0N_phys=½[10-2FC×2-4SC]=1Phenomenological predictions:IPTA DR3 (2026Q4): PSR J0740+6620 δτ<10 nsVainshtein screening: r_V∼10² AU, |γ-1|∼10⁻⁷ (Cassini compliant)GW speed: δc_gw<10⁻¹⁵ (GW170817 verified)Numerical stability: c_s²=1±10⁻¹⁵, |ΔH*|<10⁻¹⁴.Keywords: DHOST Ia, Hessian matrix degeneracy, RP² topology, Dirac-Bergmann constraints, IPTA DR3, Vainshtein screening, Pulsar Timing Arrays</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18384953 |
| 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 Ia theory Hessian degeneracy RP² topology Dirac-Bergmann constraints Vainshtein mechanism IPTA DR3 Pulsar timing arrays <p>Title: phiTGT: RP² Topological DHOST Ia Framework - 10D Phase Space Single Scalar DOF AnalysisAbstract:</p> <p>The phiTGT framework introduces an RP² (Real Projective Plane) topological prototype for systematic analysis of quadratic DHOST Ia theory's Hessian quintuple degeneracy conditions Q₁–Q₅. Through RP²=S²/ℤ₂ identification, we prove constant solutions b₁=α, b₂=β satisfy all degeneracy conditions.In the 10D extended phase space Γ_ext={ϕᵢ,π_ϕᵢ,ψᵢ,π_ψᵢ,λ,π_λ}, Dirac-Bergmann analysis yields:2 first-class constraints: π_λ≈0, π_ψ₁+π_ψ₂≈04 second-class constraints:Σ₁=π_ψ₁-˙ψ₁-λ≈0Σ₂=π_ψ₂-˙ψ₂-λ≈0Σ₃=π_ϕ₁-(ψ₁+ψ₂)≈0Σ₄=π_ϕ₂-(ψ₁+ψ₂)≈0N_phys=½[10-2FC×2-4SC]=1Phenomenological predictions:IPTA DR3 (2026Q4): PSR J0740+6620 δτ<10 nsVainshtein screening: r_V∼10² AU, |γ-1|∼10⁻⁷ (Cassini compliant)GW speed: δc_gw<10⁻¹⁵ (GW170817 verified)Numerical stability: c_s²=1±10⁻¹⁵, |ΔH*|<10⁻¹⁴.Keywords: DHOST Ia, Hessian matrix degeneracy, RP² topology, Dirac-Bergmann constraints, IPTA DR3, Vainshtein screening, Pulsar Timing Arrays</p> |
| title | phiTGT: RP² Topological DHOST Ia Framework—10D Phase Space Single Scalar DOF Analysis |
| topic | DHOST Ia theory Hessian degeneracy RP² topology Dirac-Bergmann constraints Vainshtein mechanism IPTA DR3 Pulsar timing arrays |
| url | https://doi.org/10.5281/zenodo.18384953 |