Coherent Quantum Fields and Their Coupling to Biological Systems

This work presents a coherent quantum field theory with nonlinear self-interaction, coupled to biological collective modes and formulated within the framework of open quantum systems. The theory develops a mathematically consistent model based on bosonic field operators, Lindblad dynamics, and mean-field approximations, leading to the emergence of stable stationary solutions and nonlinear attractors. Analytical derivations are complemented by schematic numerical phase diagrams, illustrating parameter regimes with trivial and non-trivial attractor dynamics. The work is intended as a theoretical foundation for future interdisciplinary research at the interface of quantum physics, nonlinear dynamics, and biological systems. This version represents the finalized English edition. A German version and supplementary simulation material are also available.