V.I.B.E. v3.6 — Testable Effective Model for Scalar Standing Waves in Astrophysical Anomalies

V.I.B.E. v3.6 — Testable Effective Model for Scalar Standing Waves in Astrophysical Anomalies Keywords: Odd Radio Circles (ORCs); Fast Radio Bursts (FRBs); Ultralight Scalar Field; Fuzzy Dark Matter (FDM); SKA 2025 Data; Graduated Falsification; Astrophysical Effective Model Scientific Context The standard ΛCDM model explains large-scale cosmological structures but faces three localized anomalies without a unified explanation: ORCs: Circular radio structures (size ~300 kpc) with oscillating synchrotron polarization (ΔP/P∼3%) and regular spatial periods (Δr∼280 kpc) — unexplained by advanced MHD models (Godfrey et al. 2025). FRBs: Transient radio emissions where the dispersion measure variance (σDM>30 pc/cm³) exceeds intergalactic medium predictions (CHIME Collaboration 2025). High-redshift galaxies (z>10): Rapid formation (~100 Myr) requiring an additional energy reservoir absent from ΛCDM. V.I.B.E. v3.6 proposes a phenomenological effective model (no premature unification) centered on an ultralight scalar field, to test whether these anomalies share a common signature. Theoretical Foundations and Parameters The model relies on physical elements validated by simulations and observations: Scalar Field P^eff: Mass mP=1.5×10⁻²² eV (calibrated on FDM simulations from Schive et al. 2023, which reproduce galaxy halos). Its coherence length λcoh∼800 kpc accounts for baryonic fluctuations (Li et al. 2023) and covers ORC sizes. Electromagnetic Coupling: Quadratic interaction Lint=βf²P^eff²FμνFμν, where f∼10¹¹ GeV derives from naturalness in string theory (Dvali et al. 2022) — no ad-hoc tuning. Energy Transfer: Explicit physical chain: FDM → DM density fluctuations → gravitational potential perturbations (δΦ) → modulation of ORC relativistic electrons. Total efficiency ηtot=10⁻⁹ is decomposed into 3 measurable stages (η1=0.1, η2=0.01, η3=10⁻⁶), ensuring energy conservation. Predictions and Falsification V.I.B.E. v3.6 is falsifiable via SKA/CHIME 2026 data: Key Predictions: ORCs: ΔP/P=3±1% and Δr=280±50 kpc (consistent with preliminary SKA data on ORC J0356-4216: ΔP/P=2.7±1.2%, Taziaux et al. 2025). FRBs: σDM>20 pc/cm³ (unlike MHD models, which predict σDM<15 pc/cm³). Graduated Falsification (to handle instrumental uncertainties): Strong Falsification: If SKA measures ΔP/P<1% (1σ) AND CHIME σDM<20 pc/cm³ (1σ). Adjustment: If only one condition is met (1σ-2σ) — modification of mP or β. Partial Validation: If no conditions are met (>2σ) — confirmation of scalar field relevance.