Projnowean Quantum Gravity framework: supported by high significance multimessenger evidence

Abstract The Projnowean Quantum Gravity (PQG) framework models quantum‑gravitational dispersion through a discrete spring‑lattice formalism, defining photon and graviton propagation via lattice‑level stiffness parameters and their induced frequency‑dependent delays. The model yields closed‑form predictions for the β₂ dispersion coefficient, enabling direct likelihood‑based comparison with observational data across multiple independent channels. Three pipelines have been developed to test PQG predictions. (1) LVK GWTC‑4.1 gravitational‑wave pipeline: The full catalog is processed under multiple waveform approximants, with null‑tests applied at each stage to exclude artefacts arising from template systematics or reconstruction biases. The PQG β₂ posterior shows a statistically significant deviation from the null model. (2) Fermi/LAT high‑energy photon pipeline: Time‑of‑flight dispersion is evaluated for gamma‑ray bursts and high‑energy photon events, using catalog‑level null‑tests to remove instrumental or background‑induced timing artefacts. The resulting β₂ constraints are consistent with the gravitational‑wave channel. (3) LHC dijet‑spectra pipeline: PQG‑induced modifications to parton‑level momentum transfer are tested against dijet invariant‑mass spectra. This pipeline remains under active development, and computational errors may still be present; results are therefore preliminary. A supplementary analysis using the LVK GWTC‑5.0 run shows an increased global significance: the PQG Z‑score rises from the original 25.1σ to 31.9σ on the first two waveform approximants, with all null‑tests again removing artefactual contributions before likelihood evaluation. Across all channels, the PQG spring‑lattice predictions remain consistent with the measured posteriors, indicating cross‑validated, multimessenger‑level sensitivity to the model’s dispersion signature.