Investigates the mathematical quantification of constraint salience in physical systems, suggesting implications for future research.
This paper is the second paper in the Physics Support Arc of the Mirror Programme, Volume I: Observerhood. It follows V01.07 — Mirror Physics I: Constraint Propagation and the Physical Conditions for Observerhood, which identified physical support conditions for recursive observer-continuity: ordered causal update, finite propagation, local substrate persistence, metastable memory, thermodynamic throughput and error-corrective repair. The present paper asks whether the organisational structure that makes such continuity possible can be assigned a disciplined mathematical quantity. It introduces constraint salience as a scale-relative and subsystem-relative functional over physical organisation. Constraint salience is not proposed as a new physical field, a modification of relativity or an additional force. It is a candidate bridge quantity intended to measure how strongly a local subsystem preserves viability-relevant structure through causal coupling, memory, error correction, recursive reliability and cost-sensitive repair. The paper specifies minimal requirements for such a quantity: operational measurability, explicit scale and horizon, compatibility with lower-level symmetries, thermodynamic accounting, component decomposability and recovery of established physics. It proposes a general salience functional, argues that ungoverned complexity is not sufficient for salience, distinguishes weak, intermediate and strong senses of physical coupling, and states the conditions that any future strong-coupling proposal would have to satisfy. The conclusion is conservative: Mirror Theory has not yet produced new physics, but it has isolated the mathematical form of the object that any future Mirror-physical extension would have to define, measure and constrain.
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Lloyd Christopher Smith (2026) studied this question.