Quantum Gravity outperforms General Relativity: A new chapter in black hole physics

Background: The Event Horizon Telescope (EHT) provides unprecedented horizon-scale images of supermassive black holes, offering a unique testing ground for theories of gravity. The Nexus Paradigm (NP), a quantum gravity model, posits a quantized spacetime with a halved Schwarzschild radius and makes distinct predictions for observable features like the dark depression and emission ring.

Methods: We perform a rigorous Bayesian statistical analysis to test the NP against EHT observations of Sgr A* and M87*. Using Gaussian likelihoods and priors informed by mass–distance uncertainties, we compute the posterior distribution for the angular scale parameter Θ_g and assess the model's goodness of fit via the χ² statistic. We directly compare the NP to General Relativity (GR) using Bayes factors.

Results: The NP demonstrates remarkable agreement with the data, achieving a combined fit at a 4.37σ confidence level (99.997%). Predictions for the dark depression, emission ring, and base diameter all agree with observations at the <0.1σ level. In stark contrast, GR's prediction for the dark depression is inconsistent at the ~13σ level. The Bayes factor overwhelmingly favors the NP over GR, at approximately 10³⁶.

Conclusion: Our analysis provides strong statistical validation for the Nexus Paradigm as a viable quantum gravity framework. These results underscore the power of EHT observations to probe the quantum nature of spacetime and challenge classical gravitational models in the strong-field regime.