## 🌀 Consolidated Results: Cosmic Elastic Theory in JADES-GS High-z Galaxy Group
This project applies the **Cosmic Elastic Theory (CET)** to a real high-redshift galaxy overdensity observed by the **JWST/JADES** survey. Using local density estimation and a redshift correction model governed by an elastic deformation function, we detect a clear correlation between environment and observed redshift shifts — in agreement with CET predictions.
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### 🔬 Summary
- **Sample**: 11 galaxies from the JADES-GS field (z > 9.5)
- **Density Method**: 3D comoving neighbor count within 2 Mpc, completeness-corrected
- **CET Correction**:
\[
1 + z_{\text{CET}} = (1 + z_{\text{obs}}) \cdot \xi(\rho), \quad \xi(\rho) = \frac{1 + (\rho_0 / \rho_{\text{crit}})^n}{1 + (\rho / \rho_{\text{crit}})^n}
\]
- **Key Parameter**: $n = 0.7$, calibrated from prior simulations
- **Critical Density**: $\rho_{\text{crit}} = 2.8 \times 10^{-26}$ kg/m³
- **Result**: $\Delta z$ correlates with local density (r = 0.91, p < 0.001)
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### 📈 Figures
- Elastic response curves for different $n$
- 3D comoving spatial map of the group
- $\Delta z$ vs. density correlation
- Histogram of $\Delta z$ distribution
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### 📎 Files
- 📄 **Full Report** (PDF): [https://osf.io/3yd26]
- 🧠 **CET Processing Script**: [https://osf.io/drm42]
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### 📚 Related Works
This is the fourth dataset validation under the CET framework, expanding on:
- 🔗 *Stretching Spacetime: Solving Cosmic Acceleration Without Dark Energy*
[https://osf.io/u58nk](https://osf.io/u58nk)
- 🔗 *Temporal Elasticity of Spacetime: A Redshift Drift Test of Causal Saturation*
[https://osf.io/jeqbm](https://osf.io/bajyu)
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### 🧪 Purpose
This page provides a reproducible analysis of elastic redshift deviations in a real overdensity at high-$z$. It aims to test the predictive power of CET in real-world, small-sample environments observed by JWST.
