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We have already derived the Criteria for thermal stability of chargedrotating quantum black holes, for horizon areas that are large relative to thePlanck area. The derivation is done by using results of loop quantum gravityand equilibrium statistical mechanics of the Grand Canonical ensemble. It isalso shown that in four dimensional spacetime, quantum ADS Kerr-Newman Blackhole is thermally stable within certain range of its' parameters. In thispaper, the expectation values of fluctuations and correlations among horizonarea, charge and angular momentum of stable quantum ADS black hole arecalculated within the range of stability. Interestingly, it is found thatleading order fluctuations of charge and angular momentum, in large horizonarea limit, are independent of the values of charge and angular momentum atequilibrium.

Thermal Fluctuations And Correlations Among Hairs Of Stable Quantum ADS Kerr-Newman Black Hole