Theoretical analysis demonstrates quantitative disturbance bounds in recognition dynamics, revealing fundamental physical limits imposed by memory recording.
Recognition dynamics must specify what events record. We construct a coherent native operation that retains complete current, an unrestricted integer field, and histories realized by successive minimum-cost postings. Its iterates preserve earlier record blocks, and its isometry has an explicit unitary completion with a positive generator. Every protected input has at least one-quarter probability in each event-count parity. Three recording procedures give exact retained-sector probabilities 1/4, 9/32, and 3/8. Simultaneous conservation of native clock energy and number forces every collective one-channel observable to be conserved, at every finite channel count. These results meet in a quantitative implementation constraint: a conserving realization of the full-current instrument with r native reference channels must disturb their joint state by trace distance at least 5/(8r). The event record and the reference account impose exact, observable restrictions on recognition dynamics.
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Washburn (2026) studied this question.
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