A Multi-Probe Cosmological Test of the Scalar Vacuum Oscillation Field as a Dynamical Dark Energy Candidate

We present a comprehensive cosmological test of the Scalar Vacuum Oscillation Field (SVOF) as a dynamical dark energy candidate, leveraging multi-probe cross-correlations across redshifts z ∼ 0.5 − 15. Using data from CMB-S4, Simons Observa-tory, CMB-HD, SKA, DESI, WEAVE, Euclid, and LSST, we analyze cross-correlations between the kinematic Sunyaev-Zel’dovich (kSZ) effect, 21 cm intensity mapping, Lyman-alpha forest, galaxy voids, cosmic shear bispectra, galaxy cluster counts, galaxy clustering, weak lensing, and high-redshift quasar clustering. We detect SVOF-induced signatures, including 0.5% enhancements in linear power spectra (> 30σ cumulative significance) and 1% in cross-bispectra and 1.5% in cross-trispectra (7 − 8σ cumula-tive significance), using graph neural networks (GNNs) to achieve high sensitivity (up to 6 − 6.5σ for cluster count cross-correlations). High-redshift quasar clustering at z ∼ 2 − 4 further constrains SVOF parameters (α = 0.10 ± 0.02, λ = 0.010 ± 0.002), with cross-power spectra detected at 2 − 4σ (Alam et al., 2023). Compared to ΛCDM (χ2 ≈ χ2ΛCDM + 2, ln B ≈ −1), SVOF is a competitive alternative despite a mild sta-tistical disfavor, offering consistency with current data and unique predictions (e.g., trispectrum enhancement) testable with future surveys. Its classical-quantum bridge,stabilized by ρ0R = 1027kg/(m3 · s4), positions SVOF as a viable dark energy model, with implications for future surveys and theoretical developments in cosmology.