  In this article, close to the Planck scale, we discuss on the remnant and
residue entropy from a Rutz-Schwarzschild black hole in the frame of Finsler
geometry. Employing the corrected Hamilton-Jacobi equation, the tunneling
radiation of a scalar particle is presented, and the revised tunneling
temperature and revised entropy are also found. Taking into account generalized
uncertainty principle (GUP), we analyze the remnant stability and residue
entropy based on thermodynamic phase transition. In addition, the effects of
the Finsler perturbation parameter, GUP parameter and angular momentum
parameter on remnant and residual entropy are also discussed.
