Quantum Information Dynamics of the Source and the Placed Source: Lindblad Dynamical Scission, Von Neumann Entropy Production, and Landauer-Bounded Quantum-Classical Transduction

The endogenous source and the placed source are formulated as complementary finite quantum preparation models on a chemical-label space and a registry space of $l-1$ bits. A rank-one-jump Lindblad lift of an explicit fifteen-state reaction--transport network reproduces its classical populations and gives exact off-diagonal damping rates. We characterize the persistent coherence between absorbing sinks, prove scission when the initial cross-sink block vanishes, and obtain an all-state trace-norm bound after adding explicit sector monitoring. For the stated benchmark rates, bulk-start retention is (10000/10001)². Registry randomization is implemented by complete dephasing followed by uniform flips, equivalently the replacement channel A(A)I/2ˡ⁻¹; an X-only twirl retains classical information. The controlled family of independent-contact Gibbs states has fidelity pˡ⁻¹ and classical Holevo capacity (l-1)[1-H₂(1-p)], whereas each fixed-target replacement channel has zero input capacity. Under equal degenerate endpoint Hamiltonians and complete isothermal resource accounting, preparation obeys W≥ kBT[(l-1)ln2-S(ρ)]. We derive the nonnegative bias threshold for a prescribed fidelity and separate it from the total preparation work. The unitary agreement transform makes the registry a noiseless subsystem under collective site flips; longitudinal phase noise instead preserves only its diagonal pointer algebra. An independent registry bit-flip model gives a distinct transit-survival formula. Finite verification and scoped Lean certificates support the algebraic construction, while calibrated rates, differential Stark response, bath correlations and gate-cycle energetics define the requirements for a molecular realization.