What if black hole thermodynamics leaves fingerprints on the Big Bang?

Kaniadakis statistics replaces standard entropy with a relativistic deformation, and when applied to the universe's horizon it subtly alters the Friedmann equations governing cosmic expansion. Running Starobinsky inflation through this modified framework shifts the predicted primordial gravitational wave spectrum and slow-roll observables in measurable ways. Comparing against Planck and BICEP/Keck data sets tight limits on how large the deformation can be — linking abstract quantum-statistical tweaks to concrete early-universe observables.