Is it permissible to state hypothetical results and experiments in a Ph.D. dissertation, or is that considered a sin, given that not doing so would lead to problems and a delay in graduation?

This action involves two prohibitions: first, lying by claiming an experience, results, and images that did not occur; and second, bringing harm to anyone who emulates this experience. Lying is a reprehensible sin and is not characteristic of a believer. However, it may sometimes be permissible out of necessity. If necessity dictates that testimony and there is no other means for it, then there is no sin upon you. But if it is possible to find another way out, then what you did is not permissible, and you must hasten to repent. If there is a possibility that someone might be misled by the results of your research, then you must clarify that they are imaginary and incorrect.