Firstly , Judiciary's independence is linked to its role as the watch-dog in a democracy. It monitors and maintains the checks and balances over the other arms of the government. Thus judiciary emerges as a mediator when any organ of the government exercises 'excess power' which tends to violate the larger societal or individual interest. 

Second, in-order to ensure that constitutionally guaranteed freedoms such as freedom to speak in public or peacefully assemble, are interpreted as per the true constitutional philosophy, judiciary has been kept free from any external pressures.

Third, Judiciary acts as a guardian of fundamental rights which are constitutionally granted to every citizen in India. Independence of judiciary was carved out during the formation of Indian Constitution as India was transitioning from a feudal to a democratic order.

Fourth, In the domain of criminal law as well, independence of judiciary is linked to the granting of a fair trial to the accused. This becomes extremely important even when the accused are foreign nationals or persons who have committed crimes against the state,

e.g. terrorists