Quantum Vibrational Relativity (QVR): A Unified Framework Bridging General Relativity, Quantum Mechanics, and Cosmology

Quantum Vibrational Relativity (QVR) - Version 2.0 Overview: A scalar-field extension of General Relativity in which a single k-essence field with conformal coupling to matter replaces both dark matter particles and a separate cosmological constant. The field's kinetic function F(Y) = Y + (2/3)Y3/2 exp(λY) produces a natural phase transition: pressureless dust (CDM-like) during matter domination, MOND-like modified gravity at late times. What's new in Version 2: Dynamical Phase Transition: Formalized the exp(λ Y) mechanism to reproduce CMB acoustic peaks without dark matter. Expanded Precision Suite: Documented margins for Cassini PPN (10¹¹×), binary pulsars (10²²×), and BBN (10³×). Wide Binary Resolution: Theoretical prediction of 1.6% velocity boost, reducing the Banik et al. (2024) tension to 0.3σ. Explicit BBN Proof: Calculation of δ G/G = 1.7 × 10⁻⁶ during nucleosynthesis using the stress-energy trace identity. Attractor Dynamics: Dynamical resolution of the Cosmic Coincidence problem (Ωₘ → 1/3, Ω_Λ → 2/3). Seven-pillar validation: Cosmological–galactic unification: κ = 1.063, 95% CI [0.908, 1.200] Pantheon+ SNe oscillation: 823 Myr period at 3.5σ Wavefunction localization via inelastic coupling (Dick 2025) Galactic Center Excess: E_pk = 4.60 GeV, ΔAIC = −16.3 vs PLEC Lorentz invariance: null photon dispersion from Fermi-LAT GRBs SVEA quantum bridge: L₂ error below 4% CMB acoustic peaks without dark matter: positions within 1.5% of Planck (CLASS implementation, Ω_cdm = 0) Falsifiable prediction: a₀(z) = (c/6)H(z) — the MOND acceleration scale evolves with redshift, testable with JWST. Files included: QVR_v2.pdf — Full paper (15 pages, 5 figures, 4 tables) Data Set.zip — Pantheon+ SNe, SPARC rotation curves, Fermi-LAT GRB and GCE data QVR_Outputs.zip — All validation figures and SPARC scan results CLASS Scripts.zip — Patcher, runner, and λ-scan script for the CLASS Boltzmann solver QVR_v2_Complete_Validation_Suite.ipynb - Google Colab notebook reproducing all seven pillars