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) Y^3/2 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 (Y) mechanism to reproduce CMB acoustic peaks without dark matter. Expanded Precision Suite: Documented margins for Cassini PPN (10^11), binary pulsars (10^22), and BBN (10³). Wide Binary Resolution: Theoretical prediction of 1. 6% velocity boost, reducing the Banik et al. (2024) tension to 0. 3. Explicit BBN Proof: Calculation of G/G = 1. 7 10^-6 during nucleosynthesis using the stress-energy trace identity. Attractor Dynamics: Dynamical resolution of the Cosmic Coincidence problem (ₘ 1/3, _ 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: Eₚk = 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, Ωcdm = 0) Falsifiable prediction: a₀ (z) = (c/6) H (z) — the MOND acceleration scale evolves with redshift, testable with JWST. Files included: QVRᵥ2. pdf — Full paper (15 pages, 5 figures, 4 tables) Data Set. zip — Pantheon+ SNe, SPARC rotation curves, Fermi-LAT GRB and GCE data QVROutputs. zip — All validation figures and SPARC scan results CLASS Scripts. zip — Patcher, runner, and λ-scan script for the CLASS Boltzmann solver QVRᵥ2CompleteValidationSuite. ipynb - Google Colab notebook reproducing all seven pillars