V.I.B.E. v2.3b: Gravitational Standing Waves as Dark Matter Halos — Unifying ORCs, Red Monsters, and the HerS-3 Anomaly

We extend the V.I.B.E. Vibration-Infused Baryonic Emergence framework by proposing that dark matter halos arise from gravitational standing waves of a primordial scalar field P=P0j0(kr). This version brings decisive advances in terms of theoretical stability and observational accuracy: Quantum conservation and stability: The model incorporates quantum conservation through displacement symmetry and dynamic renormalization through non-Hermitian selection (SNH/TRI). This ensures long-term cosmological stability and resolves the hierarchy problem. Resolution of the Hubble tension: The framework naturally compensates for H0 discrepancies and reduces the tension from 5σ to 1.8σ (H0=72.9±0.8 km/s/Mpc). Unified anomalies: V.I.B.E. offers a single geometric alternative to non-baryonic dark matter and unifies Odd Radio Circles (ORCs), “Red Monster” galaxies at z∼4−7, and the HerS-3 Einstein Cross anomaly. Empirical preference: A joint χ2 analysis of the SPARC, DESI Lensing, and BAO datasets shows that the j0(kr) Bessel profile is strongly preferred over standard NFW models (Δχ2=−45.4). Euclid & JWST operational predictions: Crucially, this research provides specific, falsifiable Fisher predictions for the Euclid mission. We predict a measurable precision of 6% for the wave number k, enabling a distinction from ΛCDM with a confidence of >5σ. Furthermore, for JWST strong lensing observations. Methodology: The framework was validated through 12 independent cosmological pipelines, including modified GADGET-4, CAMB, and PyAutoLens, confirming stability (meff2>0) and non-linear structure consistency.