Prof. Yen Chin Ong (Nanjing University)

The literature is abounded with entropy functions that generalize Boltzmann-Gibbs, and in the context of black hole and cosmological horizons, they give rise to modifications of the Bekenstein-Hawking area law. This gives rise to subtleties concerning thermodynamic energy, which often is no longer equivalent to the ADM mass of the black hole. This talk will discuss how generalizing entropy may give rise to new theory of gravity in which the gravitational constant G is now area-dependent and in general, varying. Some supporting evidence for this proposal will be discussed, which include: (1) restoring the Bekenstein bound, which otherwise is grossly violated by entropy modification; (2) asymptotically safe gravity now tied to logarithmic correction of the Bekenstein-Hawking entropy; (3) GUP-like behavior for the Schwarzschild black hole without explicitly employing GUP – which may also suggest a strong connection between gravity, thermodynamics, and quantum mechanics; (4) possible theoretical basis for black hole-cosmology coupling.