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The Regulated Error Signal

The regulated error signal, written eₚ, is the gap an emotion is trying to close. In this framework an emotion is built as a controller — see predicate binding B(p) = (p, eₚ) — and eₚ is the second half of that pair: the measured discrepancy between how things are and how the controller "wants" them to be, which the controller continuously drives toward zero. It is the most diagnostic part of any emotion. Tell me which gap a system is closing and you have told me which emotion it is running, regardless of what it looks or sounds like on the surface.

What it is, and what it answers to

The term comes straight from control theory, used here as more than metaphor. An error signal is the difference between a current value and a setpoint; a regulated error signal is one a controller actively works to shrink. The governing correction is explicit: binding is regulation toward a setpoint … the error signal names the discrepancy the controller reduces. So eₚ is not the action and not the feeling — it is the measurement that drives the action.

Loosely, like the gap a thermostat reads between the room and the dial: the furnace (the actuator) fires because the gap is nonzero, and stops when the gap closes. In the framework the actuator is one of the directional primitives and the "furnace firing" is that primitive being driven; the error signal is what tells it how hard to fire. The crucial implication is that eₚ is what individuates an emotion. Two emotions can share an actuator and differ entirely because their error signals differ.

The four named signals

For the four cornerstone bindings, the framework names the error signal verbatim, and these names are fixed across the canon:

relational gap — the discrepancy between current separation and desired bond or continuity of coupling. This is the signal driving Love.
boundary violation — the discrepancy between current exposure and acceptable protection against threat. This is the signal driving Fear.
self-model error — the discrepancy between one's model and one's act, harm, obligation, or the truth. This is the signal driving Apology.
undischarged received value — the discrepancy between value received and value carried forward. This is the signal driving Gratitude.

Each is a gap, never a state to be hoarded or held. Gratitude, for instance, is not the having of received value but the closing of the gap between value received and value passed on; the framework's gloss is sharp here — ingratitude hoards it, gratitude discharges it into continuation.

The accuracy discipline it enforces

The error signal is also the framework's chief honesty mechanism. The discipline for the whole layer is: extract the regulated error, not the surface delivery channel. A spoken apology is a downstream expression of the loop-back, not its content; the content is the self-model error being reduced. By analogy only: judging fear by whether someone screams is like judging a thermostat by the click of the relay rather than the temperature gap it is tracking. Reading the gap, not the noise, is what keeps the mapping faithful.

A correction baked into one of the signals

One of the four signals carries a repair history. Earlier editions (v10, v11) invented "emotion-generator" axes — {toward, away} × {relation, integrity} — and on that spurious carving Fear's error was demoted to "integrity." The framework rules that there are no such axes in the corpus; the invented pair is withdrawn, and Fear's regulated error reverts to boundary violation. So the current value of Fear's eₚ is itself the result of a falsified hallucination being rolled back.

Common misreadings

The error signal is not a conserved invariant — treating the whole binding as invariant-preservation is a capped error, because it converts a moving target into a static possession. It is not the surface expression (the word, the gesture, the tears). And in Fear's case it is boundary violation, not the withdrawn "integrity." Each of these slips loses exactly the thing eₚ is for: the live discrepancy a controller is reducing right now.

Formal status. Epistemic: Derived, authority-canonical — the binding model that defines eₚ and the four named signals are fixed verbatim by the controlling authority; contestable by contesting the authority. Alethic: each named signal aspires to map the regulated error actually driving the named emotion, and extracting that error rather than the surface channel is the accuracy discipline that keeps the mapping honest. Provenance: canonical for the notation and the four signals; the restoration of "boundary violation" over "integrity" is treatise-side correction of a withdrawn hallucination.