Weak mixing angle under $\text{U}(1, 3)$ colored gravity
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866913836076892160 |
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| author | Monjo, Robert |
| author_facet | Monjo, Robert |
| contents | Colored gravity, based on $\text{U}(1,3)$ symmetry, emerges naturally in the complexification of Lorentzian manifolds and integrates U(1) electromagnetism as a subcase. This work explores the viability of also including strong and electroweak interactions under the $\text{U}(1,3)$ gauge group of colored gravity. We identify specific generators linked to leptonic and quark interactions and embed the standard Higgs mechanism. Crucially, the weak mixing angle ($\sin^2θ_W$) is predicted to exhibit about $\sim0.231$ for lepton-lepton interactions (close to observations) and $\sim0.222$ for hadron-lepton interactions, which is in 3$σ$ tension with some observations. These findings open pathways for reconciling experimental data with colored gravity and suggest avenues for quantum correction studies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_11236 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weak mixing angle under $\text{U}(1, 3)$ colored gravity Monjo, Robert High Energy Physics - Phenomenology General Relativity and Quantum Cosmology High Energy Physics - Theory 81V22 Colored gravity, based on $\text{U}(1,3)$ symmetry, emerges naturally in the complexification of Lorentzian manifolds and integrates U(1) electromagnetism as a subcase. This work explores the viability of also including strong and electroweak interactions under the $\text{U}(1,3)$ gauge group of colored gravity. We identify specific generators linked to leptonic and quark interactions and embed the standard Higgs mechanism. Crucially, the weak mixing angle ($\sin^2θ_W$) is predicted to exhibit about $\sim0.231$ for lepton-lepton interactions (close to observations) and $\sim0.222$ for hadron-lepton interactions, which is in 3$σ$ tension with some observations. These findings open pathways for reconciling experimental data with colored gravity and suggest avenues for quantum correction studies. |
| title | Weak mixing angle under $\text{U}(1, 3)$ colored gravity |
| topic | High Energy Physics - Phenomenology General Relativity and Quantum Cosmology High Energy Physics - Theory 81V22 |
| url | https://arxiv.org/abs/2502.11236 |