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

Abstract

Quantum Vibrational Relativity (QVR) proposes that spacetime itself is a vibrational field whose layered modes generate all known physical phenomena.In this framework, dark matter and dark energy emerge as complementary binding and expansive modes of the same scalar field, while observable reality arises from systems tuning to specific vibrational states.
The same field dynamics that drive cosmic expansion also determine the quantum scale through the relation $a_0 = c H_0 / 6$, implying that quantum mechanics is not separate from gravitation but the low-energy vibrational limit of spacetime itself.

Dataset Description

This dataset provides the complete set of scripts, figures, and data products supporting the results of:

Rajendran M. (2025). “Quantum Vibrational Relativity (QVR): A Unified Framework Bridging General Relativity, Quantum Mechanics, and Cosmology.”

It contains the analyses, plots, and reproducibility material for six validation pillars:

1. Cosmic–Galactic Unification: Empirical test of $a_0 = cH_0 / 6$ from H(z) and SPARC data.

2. Cosmological Oscillation: Detection (3.5 σ) of a vibrational signal in Pantheon+ SNe residuals.

3. Biophysical Coherence: Detection (3 σ) of non-thermal THz coherence supporting the “Tuning Postulate.”

4. Galactic Center Excess: QVR cascade model best-fit ( Eₚₖ = 4.60 GeV, AIC = 8.2 ) consistent with Fermi-LAT constraints.

5. Photon Dispersion: Null GRB result confirming Lorentz-invariant photon propagation.

6. Quantum Bridge: Analytical and numerical demonstration that the linearized QVR field reduces to a Schrödinger-type envelope equation, showing quantum mechanics emerges naturally from QVR dynamics.