Enhance README with badges and execution details

Added badges for GitHub, Zenodo, Python version, license, and Colab integration. Updated notebook execution order and environment requirements sections.

Author: geopayme

README.md

@@ -1,11 +1,19 @@
 # DLSFH Entropy & Coherence Diagnostics for Solar Flare and CME Risk
 
+[![GitHub Repository](https://img.shields.io/badge/GitHub-dlsfh--entropy--rings--solar--risk-black?logo=github)](https://github.com/geopayme/AstroPhysics)
+[![Zenodo DOI](https://img.shields.io/badge/Zenodo-DOI%20pending-blue?logo=zenodo)](#)
+[![Python](https://img.shields.io/badge/Python-3.10%2B-blue?logo=python)](#)
+[![License: MIT](https://img.shields.io/badge/License-MIT-green)](LICENSE)
+[![Open in Colab](https://colab.research.google.com/assets/colab-badge.svg)](
+https://colab.research.google.com/github/geopayme/AstroPhysics/blob/main/DLSFH_Entropy_Diagnostic_NOAA.ipynb
+)
+
 This release package accompanies the paper:
 
 **_Entropy Rings and Fragmented Suns: A New Approach to Flare and CME Risk Detection_**  
 Antonios Valamontes, Kapodistrian Academy of Science
 
-It contains the computational materials required for **transparent, auditable reproduction** of the paper’s diagnostic framework: a 20-node DLSFH partition of solar magnetograms, localized Shannon entropy estimation, coherence amplitude $\psi^\star_s = \exp(-S)$, SGCV fragmentation detection, entropy-ring identification via the DLSFH adjacency graph, and the composite flare/CME risk score $\(R_{\mathrm{flare}}\)$.
+It contains the computational materials required for **transparent, auditable reproduction** of the paper’s diagnostic framework: a 20-node DLSFH partition of solar magnetograms, localized Shannon entropy estimation, coherence amplitude $\psi^\star_s = \exp(-S)$, SGCV fragmentation detection, entropy-ring identification via the DLSFH adjacency graph, and the composite flare/CME risk score \(R_{\mathrm{flare}}\).
 
 The repository is intended to support **method verification and qualitative robustness assessment**, not operational deployment.
 
@@ -18,13 +26,8 @@ The repository is intended to support **method verification and qualitative robu
 The canonical analysis notebooks are hosted in the associated GitHub repository:
 
 1. `DLSFH_Entropy_Diagnostic_NOAA.ipynb` — **Primary reproducibility pipeline**  
-   End-to-end implementation of the entropy–coherence diagnostic: node partitioning, entropy extraction, coherence computation, fragmentation and entropy-ring detection, and risk scoring.
-
 2. `DLSFH_PhysicsEntropy_Enhanced.ipynb` — **Sensitivity / robustness exploration**  
-   Parameter variation (e.g., coherence threshold, entropy binning) and qualitative stability checks.
-
-3. `DLSFH_PhysicsEntropy_AdvancedFinal_FINAL_5.ipynb` — **Extended physics interpretation (exploratory)**  
-   Non-operational analyses motivated by the DLSFH/SGCV framework; not required to reproduce the core diagnostic results.
+3. `DLSFH_PhysicsEntropy_AdvancedFinal_FINAL_5.ipynb` — **Extended physics interpretation (exploratory)**
 
 Because this ZIP is designed to be portable, it includes a **manifest** and a **fetch script** to retrieve the latest notebook copies from GitHub when internet access is available:
 
@@ -35,61 +38,15 @@ Because this ZIP is designed to be portable, it includes a **manifest** and a **
 
 ## Execution order
 
-Recommended notebook execution order depends on intent:
-
-- **Reproduce the paper’s core results:**  
-  Run `DLSFH_Entropy_Diagnostic_NOAA.ipynb`.
+- **Reproduce the paper’s core results:** `DLSFH_Entropy_Diagnostic_NOAA.ipynb`  
+- **Sensitivity & robustness:** `DLSFH_PhysicsEntropy_Enhanced.ipynb`  
+- **Exploratory theory (optional):** `DLSFH_PhysicsEntropy_AdvancedFinal_FINAL_5.ipynb`
 
-- **Examine sensitivity and robustness:**  
-  Then run `DLSFH_PhysicsEntropy_Enhanced.ipynb`.
-
-- **Explore extended theoretical interpretation (optional):**  
-  Run `DLSFH_PhysicsEntropy_AdvancedFinal_FINAL_5.ipynb`.
-
-A concise execution guide is provided in `RUN_ORDER.md`.
+See `RUN_ORDER.md` for details.
 
 ---
 
 ## Environment requirements
 
-- Python 3.10+ recommended  
-- Jupyter Notebook or JupyterLab  
-- Standard scientific Python stack
-
-Two environment specifications are provided:
-
-- `requirements.txt` — pip-based installation  
-- `environment.yml` — Conda-based installation (optional)
-
-Step-by-step reproduction instructions and expected outputs are documented in `REPRODUCIBILITY.md`.
-
----
-
-## Data sources
-
-All analyses rely on **publicly available solar magnetogram data**, including NOAA and NSO/GONG products. No proprietary datasets are required.
-
----
-
-## Citation and archiving
-
-Formal citation metadata and archival information are provided in:
-
-- `CITATION.cff`  
-- `zenodo.json`
-
-A versioned Zenodo DOI is minted upon release to ensure long-term traceability.
-
----
-
-## License
-
-See `LICENSE`.
-
----
-
-## Contact
-
-Antonios Valamontes  
-Kapodistrian Academy of Science  
-Email: avalamontes@Kapodistrian.edu.gr
+- Python 3.10+  
+- Jupyter Notebook or JupyterLa