In this essay, I argue that mathematics has a specific role in physics. In the domain of physics, physics defines the properties of bodies. But it is mathematics that decides how bodies (having the given properties) change with time; this is because 'changes can happen by way of motion only' and 'motion follows mathematical laws'. Thus, any property of the physical world is exclusively physical, and any law that governs it is exclusively mathematical. The Reality is thus physical, not mathematical. So, everything in the physical world will be explainable based on some basic properties, but there will not be any basic mathematical law that can explain everything. Or, the Theory of Everything will be essentially physical.
Jose P. Koshy