A natural question to ask is, therefore, whether the formalism of quantum theory can be deformed or extended in such a way as to consistently incorporate the minimal length. Quantum theory, on the other hand, is completely oblivious to the presence of such a scale, despite its being the putative infrared limit of string theory. Moreover, is understood to be the minimal length below which spacetime distances cannot be resolved Such a feature is to be expected of any candidate theory of quantum gravity, since gravity itself is characterized by the Planck length. One of the unequivocal characteristics of string theory is its possession of a fundamental length scale which determines the typical spacetime extension of a fundamental string. Of vacuum energy and the foundations of nonperturbative string theory. We discuss the implication of this for the problem We discuss simple phenomenological implications of the minimal length uncertainty relationĪnd then argue that the combination of the principles of quantum theory and general relativityĪllow for a dynamical energy-momentum space. We review our work on the minimal length uncertainty relation as suggested by perturbative string
