The hamiltonian of life : an anticipatory operator of evolution

A rule determining sequences of conservative Poincaré sections of a topological space in which Life is embedded is proposed. A hamiltonian of living organisms and ecosystems should include: (i) kinetic components as the manifold of metabolic interactions, activity and anticipatory behavior leading to homeostatic and evolutionary adaptatinq (ii) potential components as the selection of expressed characters from DNA existing structures, and the construction of new genomic components by evolutionary processes. Both are connected to the set of environmental forces, and a distribution of hamiltonians of interacting organisms is proposed. Corollaries derive the conditions of occurence of evolution and identify boundaries to biological engineering within the Planet and the solar system as conservative embedding systems