The results described in this paper can be readily generalized from ELMCSs to LMCSs but are presented in the former context because of its familiarity.
Our approach does not derive physics using the commonly used variational principles (involving Hamiltonians, Lagrangians, gravitational actions, etc.) but focuses on mathematically "natural," and, in particular, well defined, constructions and could be readily axiomatized from the starting point of LMCSs with few axioms.