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| Natura: | Preprint |
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2025
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| Accesso online: | https://arxiv.org/abs/2506.12464 |
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| _version_ | 1866908632095916032 |
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| author | Drobczyk, Martin |
| author_facet | Drobczyk, Martin |
| contents | We present a covariant scalar-field framework that unifies the space-time singularity regularization with dynamical dark energy. The theory extends general relativity by introducing a scalar field $Φ$ whose potential couples to the Lorentz-invariant quantity $X \equiv u_α u_β T^{αβ}_{\mathrm{matter}}$, ensuring manifest covariance. The resulting density-responsive scalar energy $ρ_Φ$ exhibits dual behavior: (i) in high-density regimes, it saturates at $ρ_Φ\leq AM_P^4/2$, providing a Planck-scale upper bound on the total energy density that regularizes classical singularities; (ii) in low-density regimes, it approaches a constant $ρ_Φ\to AM_U^4$, driving cosmic acceleration as dynamical dark energy. A natural renormalization group evolution with an anomalous dimension $γ\approx 0.501$ connects the Planck scale to the meV dark energy scale without fine-tuning. The model makes distinctive, testable predictions: $w_0 \approx -0.99$ and $w_a \approx +0.03$, where the positive $w_a$ distinguishes it from $Λ$CDM and standard quintessence models. Despite the novel interaction terms, the fifth forces are suppressed by $β_{\rm eff} \propto 1/ρ_m^2$, yielding factors below $10^{-58}$ in laboratory environments, and ensuring compatibility with all precision gravity tests. This framework demonstrates how a single quantum field theory mechanism can simultaneously address UV singularities and IR dark energy, providing concrete predictions for future Stage-IV cosmological surveys. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_12464 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A density-responsive scalar-field framework for singularity regularization and dynamical dark energy Drobczyk, Martin General Relativity and Quantum Cosmology We present a covariant scalar-field framework that unifies the space-time singularity regularization with dynamical dark energy. The theory extends general relativity by introducing a scalar field $Φ$ whose potential couples to the Lorentz-invariant quantity $X \equiv u_α u_β T^{αβ}_{\mathrm{matter}}$, ensuring manifest covariance. The resulting density-responsive scalar energy $ρ_Φ$ exhibits dual behavior: (i) in high-density regimes, it saturates at $ρ_Φ\leq AM_P^4/2$, providing a Planck-scale upper bound on the total energy density that regularizes classical singularities; (ii) in low-density regimes, it approaches a constant $ρ_Φ\to AM_U^4$, driving cosmic acceleration as dynamical dark energy. A natural renormalization group evolution with an anomalous dimension $γ\approx 0.501$ connects the Planck scale to the meV dark energy scale without fine-tuning. The model makes distinctive, testable predictions: $w_0 \approx -0.99$ and $w_a \approx +0.03$, where the positive $w_a$ distinguishes it from $Λ$CDM and standard quintessence models. Despite the novel interaction terms, the fifth forces are suppressed by $β_{\rm eff} \propto 1/ρ_m^2$, yielding factors below $10^{-58}$ in laboratory environments, and ensuring compatibility with all precision gravity tests. This framework demonstrates how a single quantum field theory mechanism can simultaneously address UV singularities and IR dark energy, providing concrete predictions for future Stage-IV cosmological surveys. |
| title | A density-responsive scalar-field framework for singularity regularization and dynamical dark energy |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2506.12464 |