Abstract

This monograph develops the quantum measurement programme associated with Shadow Theory's distinction between source and readout. It preserves the programme's detector, preparation, protection, record and continuation theorems, together with the counterexamples that delimit their domains, and establishes two distinct constitutive completions.

In the pilot-medium completion, a primitive canonical bond action produces individual Hamiltonian currents. Conservative exporters create signed packets; a deterministically moving, independently prepared spatial gas supplies a complete marked-contact history; finite opposite-packet recombination suppresses balanced service; and carrier population tracking produces the residence denominator. Under the declared interaction catalogue P1–P4 and preparation assumptions, these mechanisms converge in total variation on complete tagged paths, in unchanged physical time, to the minimal Bell process. The proof covers nodes, reversals and null intervals on a fixed finite graph and horizon. A static finite clock Hamiltonian incorporates source, fuel, pending and loss states, physical copies, retained reset receivers, an inaccessible reference and noncommuting continuation. Monomial copy cuts are crossed exactly once on the first pass, giving actual sampled-history faithfulness. Finite members have controlled deviations from the limiting event law, and the clock's recurrence bounds the storage claim.

The massive-configuration completion instead postulates a continuous configuration guidance law and complete initial equilibrium. Within its smooth finite domain it provides conservative actual motion, an exact massive pointer writer, retained null and loss branches, fixed historical archives, transported-trap reset and spatial feedback. A finite autonomous controller approximates the driven programme. Pointer derivative and absolute surface-current estimates control historical corruption in addition to complete retained-output error. This constitution supplies an alternative measurement theory, not a derivation of discrete Bell jumps.

The resulting internal resolution is conditional: the pilot theory gives controlled effective Bell dynamics and material records within its enlarged constitution; the massive theory gives a separate operational completion. Neither derives its interaction and preparation postulates from source/readout incompleteness. Exact finite-resource Bell dynamics, a smooth realization of the entire hybrid source, and broader preparation and storage domains remain identified extensions. All comparisons specify their output spaces, retained systems and positive-probability conditions.