ScMo-II: A Unified Model of Crystalline Geons. Theory, Scaling Law, and First Observational Evidence from Hour-Long QPOs

10.5281/zenodo.1828945 We present a complete theoretical-observational synthesis of the ScMo-II model, which posits thatanomalous compact objects in dwarf galactic nuclei are crystalline scalar geons – non-singular, self-gravitating configurations of a scalar field with an elastic equation of state. The model’s core is amodified Lagrangian with a β(∂μϕ)4 term, leading to a suppressed gravitational coupling (κ ≈ 0.25)in the dense core. This naturally explains the mass anomaly (Mdyn ≪ Mrev) observed in objectslike NGC 4395. From first principles, we derive a novel scaling law, PQPO ∝ κ−3/4R3/2eff M −1/2 true , predicting hour-long quasi-periodic oscillations (QPOs) as eigenmodes of the geon. A targetedsearch in Chandra archival data reveals a candidate QPO with P = 4.0 ± 0.3 hours (FAP = 0.007)in NGC 4395, in quantitative agreement (∆P ≈ 0.34σ) with the model’s prediction.