In order to falsify a hypothesis, an observation must be compared to some statement of fact that would be true if the hypothesis were true. The unspoken assumption seems to be that the observation, the statement, or both represent an objective reality.
If the two contradict each other, it is impossible for both to be objectively real. Such a case would say that “A and not-A” is true, and would violate the principle that a thing cannot be and not be at the same time. Thus, something has been falsified; either the observation or the hypothesis is wrong.
Both contradictory statements could be false in relation to the real situation, but that possibility still assumes that some objective reality exists.
So does the idea of falsification assume the existence of an objective reality?