Fractional Harmonic Numbers and the Granda Constant in the ∇U Model: Topological, Quantum, and Ontological Perspectives

This paper investigates fractional harmonic numbers ni , which determine particle masses in the ∇U model, where mi = nihF¯ 0, with a fundamental energy hF¯ 0 ≈ 8.62MeV. We analyze potential causes of the fractional nature of ni , including topological charges, dynamical effects, quantum numbers, and geometric factors such as fractality and holonomy. Additionally, we explore connections with the *Granda Constant* (F0 ≈ 1.31 × 1019 Hz), proposed as the stability threshold for physical forms. Using reverse harmonic decomposition, we test hypotheses about the nature of ni with data from mesons, baryons, resonances, tetraquarks, and pentaquarks. Results highlight the role of topological nodes and spin anharmonicity, while an ontological interpretation within Meta-Monism links fractional ni to the incompleteness of distinction retention. We propose experimental tests and visualizations for further investigation.