""your quantum gravitation is not renormalised simply""
The ultraviolet divergences can be avoided by taking differences between quantities computed in an excited state and the same quantities computed in the vacuum state;
The black holes entropic information formula is equal to the universal bound originally found by Jacob Bekenstein. Which is equal by Casini's work to the difference between the expectation value of the modular Hamiltonian in the excited state and the vacuum state, itself equal to the Von Neumann entropy