Is the Doubly Special Relativity Theory Necessary?

Abstract

Giovanni Amelino-Camelia (2002) has proposed a theory whose hope (should it be confirmed by experiments) is to supersede Einstein's 1905 Special Theory of Relativity (STR). This theory is known as the Doubly Special Relativity (DSR) and it proposes a new observer-independent scale-length. At this scale, it is agreed that a particle that has reached this scale-length, has entered the Quantum Gravity regime. According to the STR, observers will, in principle, not agree on whether or not a particle has reached this length hence they will not agree as to when does a particle enter the Quantum Gravity regime. This presents the STR with a "paradox." Amongst others, the DSR is fashioned to solve this "puzzle/paradox." We argue/show here, that the STR already implies such a scale-length it is the complete embodiment of the STR, thus we are left to excogitate; Is the Doubly Special Relativity theory necessary?