Dear Erwin Phipps,
I agree with you: 'mathematical concepts' masquerade as 'physical concepts', and this is the major problem in present-day physics. Equations are just tools. Different tools can be used in different situations. But the argument that the tool can tell the whole tale is incorrect. Space-time, curved space, expanding space, mass-less particles, mass-giving particle, force particle, etc. are examples of meaningless physical concepts derived from equations. The present philosophy can be termed 'mathematicalism', the view that the real nature of the physical world can be understood based on equations alone. I argue for 'physicalism': an equation can be interpreted in many ways; out of these, physically meaningful interpretations alone need be considered. My essay will soon be available.