Is there a philosophy of time compatible with relativity and quantum mechanics?

The goal of this text is to study the compatibility of three main philosophical theories of time (presentism, possibilism, and eternalism) with special relativity, general relativity, and quantum mechanics. We will show that possibilism is compatible with these physical theories, but only at two conditions: the past of an observer must be understood as his causal past, and there must be some mechanism forbidding closed timelike curves. We will also argue that provided one adopts Everett's interpretation of QM, eternalism can be phrased in a natural way which is compatible with these three theories. We emphasize the fact that reality is observer-independent in eternalism only.