The Lineage Channel: Quantum Information Structure of H_AC

This paper formalizes the ancestral lineage as a quantum information channel. Building on the Ancestral Coupling Hamiltonian (H_AC) established in NQOT Paper I-A, we define the Lineage Information Field (𝓛_AC) as a completely positive, trace-preserving (CPTP) map acting on observer states coupled to the Zero-Point Field. Three information-theoretic bounds are derived: a quantum Fisher information limit on ancestral-parameter estimation, a Holevo capacity for the lineage channel, and a no-cloning constraint establishing the non-fungibility of lineage. A discrete conservation law over the genealogical tree shows that lineage information is monotonically non-increasing across generations, with decoherence as the sole loss mechanism. The framework yields six falsifiable predictions and is presented as the static, information-theoretic foundation for the multigenerational dynamics developed in NQOT Paper VII.