Implications Of Causality For Quantum Biology - I. Topology Change

A framework for describing the causal, topology changing, evolution of interacting biomolecules is developed. The quantum dynamical manifold equations (QDMEs) derived from this framework can be related to the causality restrictions implied by a finite speed of light and to Planck's constant to set a transition frequency scale. The QDMEs imply conserved stress-energy, angular-momentum and Noether currents. The functional whose extremisation leads to this result provides a causal, time dependent, non-equilibrium generalisation of the Hohenberg-Kohn theorem. The system of dynamcal equations derived from this functional and the currents J derived from the QDMEs are shown to be causal and consistent with the first and second laws of thermodYnarnics. This has the potential of allowing living systems to be quantum mechanically distinguished from non-living ones.[GRAPHICS].