A physical description must preserve distinguishable occurrences, the information needed to compare them, and records available to later interactions. We examine what these requirements force within Recognition Science, keeping the premises of each implication explicit. Finite record constructions give arithmetic with a ledger of logical commitments. A specified comparison apparatus, continuous reporting and reference calibration fix the reciprocal cost, while a positive additive reading and a first costly join force golden scaling. A linking requirement selects three dimensions within the stated spherical spatial class; a complete one-bit cyclic pass through three binary coordinates then has minimum length eight. Factorization, order and calibration determine the corresponding recognition weight. In a finite quantum carrier, preservation of calibrated sharp-decision optima forces exact state recovery, including correlations with a retained reference. We also identify what these mathematical results require of a physical realization: acquisition of the supplier state, complete resource accounting, attachment of controller and record dynamics, turnoff, and record retention. Ethical and economic effects act on the same physical bond ledger. The experiential interpretation requires a further admissibility law and a distinct subject-composition condition. The result is a connected account of forced structure and its physical premises, with explicit boundaries between a uniqueness theorem, a constructed representation and an enacted process.
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Jonathan Washburn (2026) studied this question.
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