Does modifying gravity change how black holes store information?

Using a residue-based method to correct Hawking temperature, this calculation tracks how much quantum information a Dirac (spin-½) field carries near a black hole in f(Q) gravity — a theory replacing Einstein's spacetime curvature with a related quantity called non-metricity. The entropy still obeys the famous area law, but the proportionality constant picks up a cubic correction from the modified temperature. For the specific model f(Q) = Q + αQ², an explicit formula emerges, offering a concrete testbed for how alternative gravity theories alter black hole thermodynamics.