V.I.B.E. v3.2: Scalar Standing Waves as Origin of Radio Rings, Bridges and Giant Halos

This work presents V.I.B.E. v3.2 (Vibrational Interactions of a Bosonic Emission field), the cosmological extension of the Q-G.E.O.M https://doi.org/10.5281/zenodo.17259663. framework \cite{qgeom2025}, where diffuse radio structures—Odd Radio Circles (ORCs) like J0356-4216 (z=0.494), inter-cluster bridges (PSZ2 G279.79+39.09, z=0.29), and giant radio halos (LLS >2 Mpc)—emerge as nodes of standing scalar waves P(r,t) = P_0 [j_0(kr) + λ j_1(kr)] cos(ω t) with magneto-scalar coupling β P² F² (β=10^{-12} GeV^{-2}). The model unifies ORCs' double rings (200/335 kpc, tangential pol 20–30%), bridges' x4 synchrotron excess, and halos' steep spectra (α1.2), rooted in string theory (Kalb-Ramond axion, m_P10^{-22} eV fuzzy DM, de Broglie λ_dB1 kpc). Energy transfer efficiency η10^{-8} from scalar to synchrotron (via ∇×B = β P ∇P) explains amplification without instability, with saturation A_eff4 for PSZ2. Phase coherence over Mpc (L_c >1 Mpc, Γ<10^{-28} eV turb damping) and statistical λ distribution (log-normal μ=-1.5, σ=0.7; 70% single/30% double rings) are numerically verified (FiPy/COMSOL stable 1 Gyr). Falsifiable predictions include: SKA pol oscillations Δr140 kpc (2026), ALMA weak lensing θ_E1.15" (J0356, 2027), CHIME FRB σ_DM50 pc cm^{-3} (2028), and milli-Hz GW phase mod Δϕ10^{-4} rad (mid-band detectors, 2027). The model distinguishes from shocks (tang pol/α=1.22 vs radial/0.8, 3σ) and turbulence (periodic vs chaotic). Self-contained with Python simulations (coherence_test, energy_transfer_efficiency; η2.6×10^{-9}). This evolves from V.I.B.E. v3.0 \cite{sylvain2025} to v3.2, bridging quantum (Q-G.E.O.M.) and cosmological scales via EFT (Λ_eff~10^6 GeV). Test it, break it—ready for SKA/ALMA 2026–2028.