antonypamo/rrf-v2-36node-manifold

Resonance of Reality Framework (RRF) V2: 36-Node Galactic Manifold

Official implementation of the RRF V2 (Φ6.0), a parameter-free geometric framework for modeling galactic rotation curves with sub-km/s precision. This model uses a 36-node Archimedean manifold to reconstruct rotational velocities without invoking dark matter halo parameters.

🚀 Quick Start

Installation

pip install torch transformers huggingface_hub numpy pandas scipy matplotlib seaborn astroquery

Usage (Python)

from transformers import AutoModel
import torch

# Load the manifold model
repo_id = "antonypamo/rrf-v2-36node-manifold"
model = AutoModel.from_pretrained(repo_id, trust_remote_code=True)

# Example Input: Normalized velocity profile [Batch, 36 Nodes]
test_input = torch.randn(1, 36)
reconstruction = model(test_input)
print(reconstruction.shape)

📊 Empirical Validation Summary

Metric	RRF V2 (36-Node)	NFW (Baseline)	MOND (Baseline)
Mean RMSE	0.2614 km/s	10.8446 km/s	6.7237 km/s
Mean Coherence	0.9987	N/A	N/A
Parameters	0 (Topological)	2 (Halo mass, concentration)	1 (Acc. Scale)

🔬 Methodology: The 36-Node Archimedean Manifold

The RRF V2 operates by projecting observed velocity vectors onto the spectral basis of a discrete 36-node manifold. The reconstruction is governed by the Laplacian eigenvectors: $$V_{recon}=\sum _{i=1}^{36}⟨V_{obs},{\psi }_i⟩{\psi }_{i}V\_\{recon\}\; =\; \backslash sum\_\{i=1\}^\{36\}\; \backslash langle\; V\_\{obs\},\; \backslash psi\_i\; \backslash rangle\; \backslash psi\_i$$

📂 Repository Contents

• modeling_rrf.py: Core PyTorch reconstruction logic.
• configuration_rrf.py: Framework hyper-parameters.
• rrf_v2_36node_results.csv: Complete per-galaxy benchmark for the SPARC dataset.
• rrf_v2_vs_nfw_mond_benchmarks.csv: Comparative analysis results.
• integrated_sparc_sdss_analysis.csv: Cross-correlation with stellar parameters.

📜 Citation

If you use this framework in your research, please cite:

Padilla Morales, A. (2026). Resonance of Reality Framework V2: Topological Solutions to the Galactic Rotation Problem. ORCID: 0009-0000-3530-2146.