  One of the foremost goals of theoretical modern physics is to obtain a
reliable theory of quantum gravity. In so doing, new fundamental scales are
being proposed. For example, in the Snyder - de Sitter model, two scales
manifest which relate measurement limits of the position and momentum. In this
work, we study the thermodynamic functions of the Scharwzschild black hole in
the Snyder - de Sitter model within the presence of position-independent and
dependent gravity's rainbow. Heuristically, we prove the presence of a non-zero
lower bound value of the horizon, mass, and temperature of the black hole.
Then, we present the stability and remnant conditions of the black hole
according to the entropy and heat capacity functions.
