Sign

Canonical definition

Sign is the direction of a contribution within the architecture, and the same notion operates at two scales. At the level of the component inputs, the Signed Valuation Principle establishes that the Body Manager, the Thinker and the Observer each supply the Decision Hub with a signed scalar taking positive values (informing attraction toward the Object), negative values (informing avoidance) or zero (informing indifference), so that Appetites, Intrinsic Motivation and Mimetic Desire alike carry direction and the integrated Scalar is itself signed. At the level of the couplings that close the loop, sign is the direction in which a coupling acts on the mimetic dynamic: amplifying when it adds to the mimetic signal and drives the loop toward compounding, and restoring when it subtracts from it and damps the loop. The two readings are one concept applied at two places, the first governing whether a component drives approach or avoidance toward an Object, the second governing whether a structure connected to the loop makes compounding more or less likely. Sign in the second reading is the third of the three conditions a candidate Institutional Buffer must satisfy to qualify as a Restoring Node. It is a property of the arrangement rather than of anyone's intentions, so a structure designed to correct may carry amplifying sign and a structure built for unrelated purposes may carry restoring sign. A candidate satisfying Novelty and Closure while carrying amplifying sign is worse than no candidate at all, because it delivers force into the loop in the compounding direction while presenting as a corrective structure. Where a candidate's sign depends on a condition that can lapse it is conditional rather than constructional, the Subcriticality Precondition being the case in which an artificial system's restoring sign holds only while that system remains subcritical. The two scales meet in the crisis geometry. The Saddle-Node Default and the Hopf exclusion are derived for the approach regime, in which the couplings closing the fast loop are one-signed and the exogenous drives are non-negative. A.5.3 names the reversal of one of those couplings' signs as a second route by which the Fold might be converted, alongside the introduction of a Restoring Node. The exclusion argument is derived for one-signed couplings, and its extension to the sign-indefinite case, including which routes to a sustained cycle actually open under negative couplings, is a named specialist task, so the second route is identified rather than established.