Computability and Insolvability of Simulation Processes for Anticipatory Behaviour in Evolutionary Systems

A biophysically tenable description based on the present understanding of evolutionary systems is discussed, which relies on a hierarchical dynamical approach to an evolutionary chain of increasing abstraction levels through compression of information by n-dimensional attractors of chaotic dynamics. The capability of simulating the environment and other evolutionary systems through anticipatory behaviour so attained cannot be described fully through Thermodynamics, while the so-called "Great Puzzle of Theoretical Biology" could be solved through a quantum physical approach. Computability and insolvability problems would be overcome through an energy-free geometrized and topological approach stemming from an analysis of relationships between the logical space and the phase space of an evolutionary system.