The phrase "study at false" may not be very common, but there are several synonyms that can be used in its place. One option is "pretend to study," which means to show the appearance or a false impression of studying. Another synonym is "feign studying," which involves pretending to study or putting on a false appearance of studying. Alternatively, one could use "fake studying," which means to display a false or counterfeit impression of studying. Other possible synonyms include "simulate studying," "simulate learning," or "fake learning." Ultimately, each of these synonyms share the common idea of presenting an artificial image of studying or learning.