Graph-Spectral Validation Across the Hadron Zoo: Compact Latent Structure, Branches, and Heavy-Flavor Outliers

Key Points

• The research aims to analyze hadronic systems using graph-spectral methods to identify latent structures and outliers.
• Graph-spectral analysis of PDG-derived hadronic features
• Identification of low-dimensional latent structures
• Assessment of branching patterns and outliers in heavy flavors
• Validation framework for embedding physical data
• Revealed coherent branching patterns in hadronic systems
• Identified heavy-flavor outliers in the latent structure
• Demonstrated robustness across different chart constructions