  The usual generalized uncertainty principle will lead to a divergent mass
limit of white dwarf, and this divergence should be prevented for both
scenarios including positive and negative parameters of generalized uncertainty
principle. Although it has been shown that negative parameter can directly
restore the mass limit, the underlying reason is not given to explain why the
negative sign appears under the condition of white dwarf. In order to solve
this problem, we derive a field-dependent parameter expression whose sign can
change depending on the species of spin fields. Besides, we find that the
actual physical effect of the negative sign is aimed at limiting the exorbitant
uncertainty of momentum.
