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14 | 14 | **Research Focus:** Zx Function & Millennium Problems |
15 | 15 | **مجال البحث:** دالة Zx ومسائل الألفية |
16 | 16 |
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17 | | -[[Visit Profile](https://img.shields.io/badge/Visit-GitHub%20Profile-6ae3ff?style=for-the-badge&logo=github)](https://github.com/Jabri-web) |
18 | | -[[Profile Views](https://komarev.com/ghpvc/?username=Jabri-web&color=6ae3ff&style=for-the-badge&label=Visitors)](https://github.com/Jabri-web) |
19 | | -[[GitHub Stars](https://img.shields.io/github/stars/jabri62018/Jabri-RiemannOS?color=yellow&style=for-the-badge&logo=github)](https://github.com/jabri62018/Jabri-RiemannOS) |
20 | | -[[GitHub Followers](https://img.shields.io/github/followers/Jabri-web?color=green&style=for-the-badge&logo=github)](https://github.com/Jabri-web?tab=followers) |
| 17 | +[](https://github.com/Jabri-web) |
| 18 | +[](https://github.com/Jabri-web) |
| 19 | +[](https://github.com/jabri62018/Jabri-RiemannOS) |
| 20 | +[](https://github.com/Jabri-web?tab=followers) |
21 | 21 |
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22 | 22 | --- |
23 | 23 |
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24 | | -[[DOI](https://zenodo.org/badge/DOI/10.5281/zenodo.19717561.svg)](https://doi.org/10.5281/zenodo.19717561) |
25 | | -[[License: CC BY 4.0](https://img.shields.io/badge/License-CC%20BY%204.0-lightgrey.svg)](https://creativecommons.org/licenses/by/4.0/) |
26 | | -[[Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/jabri62018/Jabri-RiemannOS/blob/main/Zx_Hubble.ipynb) |
| 24 | +[](https://doi.org/10.5281/zenodo.19717561) |
| 25 | +[](https://creativecommons.org/licenses/by/4.0/) |
| 26 | +[](https://colab.research.google.com/github/jabri62018/Jabri-RiemannOS/blob/main/Zx_Hubble.ipynb) |
27 | 27 |
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28 | 28 | > **Computer Conclusion:** |
29 | 29 | > **Input = Riemann's Numbers** |
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33 | 33 | --- |
34 | 34 |
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35 | 35 | ## 🔬 Abstract |
36 | | - |
37 | | -**Zx Mother Function** proposes a unified framework linking the Riemann Hypothesis to General Relativity through a falsifiable 1.2% deviation prediction at **2.31 TeV**, testable at future colliders like FCC-ee. This v3.0.1 adds the **PEER_REVIEW_WAR_ROOM Epilogue** with three "Al-Jabri Changed" statements. |
38 | | - |
| 36 | +**Zx Mother Function** proposes a unified framework linking the Riemann Hypothesis to General Relativity through a falsifiable 1.2% deviation prediction at **2.31 TeV**, testable at future colliders like FCC-ee. This v3.0.1 adds the **PEER_REVIEW_WAR_ROOM Epilogue** with three "Al-Jabri Changed" statements. |
39 | 37 | **Zero free parameters. No fitting. Only input: zeros of ζ(s).** |
40 | 38 |
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41 | 39 | --- |
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45 | 43 | - **Planck Derivation**: [`Python/Zx_Planck_Epoch.ipynb`](https://github.com/jabri62018/Jabri-RiemannOS/blob/main/Zx_Planck_Epoch.ipynb) - Derive ħ,G,Λ,α |
46 | 44 | - **Official Record**: [Zenodo DOI 10.5281/zenodo.19717561](https://doi.org/10.5281/zenodo.19717561) |
47 | 45 | - **Original Paper v1.0**: [`Fb-pdf/Z_total_v1.pdf`](https://zenodo.org/records/19717561/files/Z_total_v1.pdf) |
48 | | -- **Full Dataset**: [`Data/Hz_RiemannOS_0.001.csv`](Hz_RiemannOS_0.001.csv) |
| 46 | +- **Full Dataset**: [`Data/Hz_RiemannOS_0.001.csv`](Data/Hz_RiemannOS_0.001.csv) |
49 | 47 |
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50 | 48 | ## 📊 Key Figures |
51 | 49 |  |
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62 | 60 |
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63 | 61 | ## ⚡ How Z(x) Solves Hubble Tension |
64 | 62 | **Conclusion**: There was no tension. G was running and we assumed it constant. |
65 | | - |
66 | 63 | 1. **Running Gravity**: Z(x) makes Newton's G energy-dependent via `G ∝ 1/Z'` |
67 | 64 | 2. **Phase Transition**: T01 at t₀=65.11 generates dynamical Λ naturally |
68 | 65 | 3. **Unified H(z)**: CMB z=1100 gives H₀=67.4, Local z=0 gives H₀=73.0 |
69 | 66 |
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70 | 67 | ## 📁 Repository Contents |
71 | 68 | | File | Description | |
72 | 69 | | --- | --- | |
73 | | -| `Pytjon/Zx_Hubble.ipynb` | Reproduces `H(z)` from `Z(x)` + `T01` | |
| 70 | +| `Python/Zx_Hubble.ipynb` | Reproduces `H(z)` from `Z(x)` + `T01` | |
74 | 71 | | `Python/Zx_Planck_Epoch.ipynb` | Derives Planck units `ħ,G,Λ,α` from Z(x) | |
75 | 72 | | `Image/Zx_Plank_Movie.png` | Figure: All constants on Z(x) curve | |
76 | 73 | | `Image/Universe_now.png` | Figure: `H(z)` vs DESI 2024 + Planck + SH0ES | |
77 | | -| `Db-pdf/Z_total_v1.pdf` | Original v1.0 paper | |
| 74 | +| `Fb-pdf/Z_total_v1.pdf` | Original v1.0 paper | |
78 | 75 | | `Data/Hz_RiemannOS_0.001.csv` | Full H(z) dataset z=0-1100 | |
79 | 76 |
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80 | 77 | ## 📚 How to Cite |
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