The paper is devoted to the philosophic-methodological analysis of two fundamental theories - the string theory and the loop quantum gravitation. The theories attempt to unify the general theory of the relativity and the quantum theory into one consistent theory that would describe, using a single language, universe as a unified dynamic system. The paper interprets the categories of 'space', 'time' and 'time-space'. It analyses differing approaches to defining the above mentioned categories by the theories as well as contributions they make in developing them. Similarly, it discusses certain theoretic-methodological problems arising for the theories in constructing the new theory.