Conceptual Analysis of Clausius Statement to Prove it is Erroneous

In the middle of 19th century, there was a significant growth in research with respect to the influential work in the field of thermodynamics from physicists such as Sadi Carnot, Lord Kelvin, James Joule, James Maxwell, August Kronig and Rudolf Clausius. The law that interests us here is the second law of thermodynamics, which was first given light by Carnot in 1824. In this paper, we are focusing on Clausius Statement of second law of thermodynamics that states �heat can never pass from a colder to a warmer body without some external support�. Here we are making an effort to prove, through theoretical analysis, that a cold body and a warm body radiate heat in all directions and thus the Clausius Statement is erroneous.