Field-Dependent Kinetic Structure from Coarse-Grained Skyrme Dynamics
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2025
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| author | Boudjerada, Mustafa |
| author_facet | Boudjerada, Mustafa |
| contents | <div dir="ltr"> <p>This paper constructs the effective field theory (EFT) closure for the gravitational sector of the S³-Field Framework. By coarse-graining the microscopic Skyrme dynamics of a single fundamental field $\Phi: \mathbb{R}^{3,1} \to S^3$, the work derives a field-dependent kinetic function $f(\tau)$ that governs the effective gravitational coupling strength $\mu$.</p> <p>The study identifies two distinct physical regimes required to reconcile General Relativity with high-redshift anomalies and singularity resolution:</p> <ol> <li> <p><strong>Static Screening ("Brake" Gear):</strong> A stiffening regime (<span>$f > 1$</span>) derived from spatial microtextures (<span>$\beta_{\text{grav}} \tau^2$</span>). This screens gravity in strong-field environments (Black Holes, Neutron Stars), preventing classical singularities.</p> </li> <li> <p><strong>Thermal Softening ("Turbo" Gear):</strong> A softening regime (<span>$f < 1$</span>) driven by thermal fluctuations in the <span>$O(4)$</span> Sigma Model sector. This triggers a transient gravitational slip (<span>$s = \mu - 1 > 0$</span>) at Cosmic Dawn (<span>$z \approx 20$</span>).</p> </li> </ol> <p><strong>Key Prediction:</strong> The theory demonstrates that the thermal "dip" in stiffness is triggered by the universe cooling through the field's intrinsic mass gap (<span>$m_{\text{rip}} \approx 1$</span> meV). This localized boost in gravity exponentially enhances the <strong>Halo Number density</strong>, providing a microphysical explanation for the "Impossibly Early Galaxies" observed by JWST.</p> </div> <p></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18070030 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
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| spellingShingle | Field-Dependent Kinetic Structure from Coarse-Grained Skyrme Dynamics Boudjerada, Mustafa S3-Field Framework Modified Gravity Skyrme Model Effective Field Theory, Cosmic Dawn Gravitational Slip Thermal History Halo Abundance <div dir="ltr"> <p>This paper constructs the effective field theory (EFT) closure for the gravitational sector of the S³-Field Framework. By coarse-graining the microscopic Skyrme dynamics of a single fundamental field $\Phi: \mathbb{R}^{3,1} \to S^3$, the work derives a field-dependent kinetic function $f(\tau)$ that governs the effective gravitational coupling strength $\mu$.</p> <p>The study identifies two distinct physical regimes required to reconcile General Relativity with high-redshift anomalies and singularity resolution:</p> <ol> <li> <p><strong>Static Screening ("Brake" Gear):</strong> A stiffening regime (<span>$f > 1$</span>) derived from spatial microtextures (<span>$\beta_{\text{grav}} \tau^2$</span>). This screens gravity in strong-field environments (Black Holes, Neutron Stars), preventing classical singularities.</p> </li> <li> <p><strong>Thermal Softening ("Turbo" Gear):</strong> A softening regime (<span>$f < 1$</span>) driven by thermal fluctuations in the <span>$O(4)$</span> Sigma Model sector. This triggers a transient gravitational slip (<span>$s = \mu - 1 > 0$</span>) at Cosmic Dawn (<span>$z \approx 20$</span>).</p> </li> </ol> <p><strong>Key Prediction:</strong> The theory demonstrates that the thermal "dip" in stiffness is triggered by the universe cooling through the field's intrinsic mass gap (<span>$m_{\text{rip}} \approx 1$</span> meV). This localized boost in gravity exponentially enhances the <strong>Halo Number density</strong>, providing a microphysical explanation for the "Impossibly Early Galaxies" observed by JWST.</p> </div> <p></p> |
| title | Field-Dependent Kinetic Structure from Coarse-Grained Skyrme Dynamics |
| topic | S3-Field Framework Modified Gravity Skyrme Model Effective Field Theory, Cosmic Dawn Gravitational Slip Thermal History Halo Abundance |
| url | https://doi.org/10.5281/zenodo.18070030 |