Speaker
Description
The thermodynamics of regular black holes has long suffered from a self-consistency problem: the Hawking temperature derived from the first law disagrees with the geometrically defined one, signaling that the thermodynamic quantities obtained in previous studies are unreliable. To resolve this, we construct a rotating ``mother'' black hole whose parameters are initially independent. Thermodynamic quantities are first derived in this unconstrained phase space, and only then is the regularity condition imposed. We find a fundamental asymmetry between the geometric and thermodynamic derivations: the geometric temperature is invariant under the order of constraint application, whereas the thermodynamic temperature requires the correct order of operations to yield a physically meaningful result. This establishes a self-consistent thermodynamic framework for rotating regular black holes, in which all thermodynamic quantities are guaranteed to be physically correct, laying a rigorous foundation for investigating phase transitions and thermodynamic stability.