Quantum origin of (Newtonian) mass and Galilean relativity symmetry

The Galilei group has been taken as the fundamental symmetry for 'nonrelativistic' physics, quantum or classical. Our fully theoretical formulation approach to theory asks some adjustments. We present a sketch of full picture here, emphasizing aspects that are different from more familiar picture. analysis involves careful treatment relation between exact mathematics and its physical application in dynamical theories, serious implementation mathematical logic than what is usually available physics literature. article summarizes our earlier presented while focusing on part beyond, with an adjusted, corrected, identification basic representations having (Newtonian) mass Casimir invariant notion center dictated by symmetry. Another result necessary exclusion time translational symmetry, otherwise bans interactions particles.