About Mathematical (Arithmetic) physics
Mathematical physics is an interlinked subject of theoretical physics and mathematics. The utilization of mathematics to problems in physics and the advancement of mathematical practice suitable for such applications and for the establishment of physical theories. It is as vast as mathematics and physics with a potential for much evolution with simple numerical schemes. In mathematical physics, contemporary problems in physics give ascent to current mathematics to solve them, while new mathematics problems open doors to the physical universe.
It involves various topics which includes Classical mechanics, Partial differential equations, Quantum theory, Relativity and Quantum Relativistic Theories, Statistical mechanics, Numerical General Relativity and Statistical mechanics.