A Note on The Isomorphicity of Homology Chain of a Topological Space as a Mathematical Energy Conservation

The time evolution of a system is replaced by the isomorphic transformation and the conservation of energy is replaced by the conservation of topology, and the structure of the of the energy operator is replaced by the homology chain. As energy is conjugate to time, so is topology is conjugate to group structure. As time parametrizes motion, so group structure and isomorphisms parametrize topological formations.