Formulation of Photon Helicity Transfer in Marine Media Containing Chiral Chromophoric Dissolved Organic Matter: Quantum Decoherence and Spontaneous Polarization via a Generalized Lindblad Dissipative Master Equation

The three-dimensional generalized vector radiative transfer equation (3D-GVRTE) established a geometric spatial integration of macroscopic radiance. However, a description of the microscopic interactions between the homochirality of biological organic matter (the asymmetry of L-amino acids and D-sugars) and the spin angular momentum (helicity) of photons introduces descriptive inconsistencies under classical electromagnetic intensity-addition models. Based on established mathematical conclusions, this model maps the Stokes vector onto an equivalent density matrix representation within the two-level polarization spin space of a photon, integrating the total dissipation and scattering processes into a generalized quantum master equation in complete Lindblad form. The mechanism by which the breaking of chiral symmetry in the medium violates photon spin conservation and induces spontaneous circular polarization is rigorously demonstrated based on the axiomatic system of the Lindblad dynamical semigroup, under strict invariant governance of the total probability conservation law (trace invariance). The formulated generalized master equation provides an objective quantum statistical physical framework for non-destructive biosignature detection in exoplanetary marine environments.