Entropy-Governed Valence Stabilization

Mechanism

Valence stabilization is implemented as a discrete-time servo loop applied to a single scalar dimension of the agent's affective vector. On each evaluation tick, an incoming stimulus produces a raw delta. The raw delta is summed into a leaky integrator whose state represents the current valence value. The integrator leaks toward a configured neutral set-point with a time constant that is itself a function of recent oscillation entropy, so that the loop becomes more conservative as the input signal becomes more chaotic. After the leak step, the integrator state is passed through a saturating clamp whose upper and lower bounds are drawn from the agent's policy reference. The clamped value is the externally observable valence reading; downstream consumers, including the admissibility gate and the affective contagion broadcaster, read only the clamped value, never the raw integrator state.

The damping multiplier is computed by an oscillation detector that observes the rolling sequence of sign changes in the integrator delta. The detector counts sign reversals over a configurable window and divides by the window length to produce an empirical reversal rate. When the reversal rate exceeds a policy-defined threshold, the damping multiplier increases, which is mathematically equivalent to lengthening the integrator's effective time constant. The multiplier itself decays back toward unity once the reversal rate drops below the threshold, restoring the agent's normal responsiveness once the disturbance has passed.

Anti-windup behaviour is structural rather than reactive. Because the clamp sits outside the integrator and because the leak operates on the integrator state directly, no separate anti-windup branch is required. A sustained stimulus that would push valence past the clamp simply causes the integrator to be progressively offset by the leak, so that when the stimulus is removed the recovery trajectory is bounded in time. The combination of leak, damping, and clamp guarantees that the closed-loop response is bounded-input bounded-output for any policy-admissible stimulus sequence.

Each tick of the loop emits a structured stabilization record into the agent's lineage stream. The record carries the pre-leak integrator state, the damping multiplier, the clamp activation flag, the reversal rate, and the resulting clamped valence. These records are the substrate from which post-hoc analysis reconstructs the agent's affective trajectory and verifies that the loop remained inside its declared operating envelope.

The loop is reentrant with respect to the agent's tick boundary: a single tick's invocation sees a snapshot of all parameters and produces exactly one stabilization record. Concurrent ticks, which cannot occur under the agent's serialized scheduling discipline, are explicitly disallowed by the loop's pre-condition assertions. The serialization property is what permits the lineage stream to be an append-only log without requiring any reconciliation of out-of-order records during audit.

Initialization of the loop at agent boot loads the integrator state from the most recent committed lineage record, if one exists, or from the policy-defined neutral set-point otherwise. Recovering the integrator state from the lineage rather than reinitialising it preserves the affective continuity of the agent across restarts and ensures that an agent cannot evade saturation history by being restarted.

Operating Parameters

The loop exposes five primary parameters bound to the policy reference: the nominal leak time constant, the neutral set-point, the upper and lower clamp bounds, the oscillation window length, and the reversal-rate threshold above which damping engages. Two secondary parameters govern the damping multiplier itself: its maximum value and its recovery time constant. All eight parameters are versioned alongside the policy and are recomputed only when the policy reference is rotated; mid-run mutation of these parameters is forbidden because it would permit silent retroactive reshaping of the affective trajectory.

Typical operating points place the nominal leak time constant in the range of tens of evaluation ticks, the clamp bounds symmetric around the neutral set-point, and the reversal-rate threshold at a fraction substantially below 0.5 so that genuine high-frequency oscillation engages damping while normal alternation between positive and negative stimuli does not. The maximum damping multiplier is bounded so that the agent cannot become permanently unresponsive even under adversarial stimulus patterns; once the multiplier saturates, the integrator simply tracks the neutral set-point until the disturbance subsides.

Stability of the closed loop is ensured by parameter validation at policy load time. The validator computes the worst-case loop gain under the maximum damping multiplier and rejects any policy whose parameters would yield a non-contractive map. This validation is performed once, at policy admission, and is itself recorded in the lineage so that the conditions under which the agent was permitted to run can be reconstructed.

Alternative Embodiments

The integrator may be implemented as a first-order infinite-impulse-response filter, as a second-order critically-damped filter when smoother trajectories are required, or as a discrete state-space block when the valence dimension is part of a coupled multi-dimensional affective vector and cross-axis terms are non-zero. In each case the leak operation is preserved, but its realization differs.

The oscillation detector may be replaced by an entropy estimator that operates on the spectral content of the recent integrator-delta sequence rather than on sign reversals alone. A short-time Fourier estimate, a wavelet decomposition, or a simple variance-of-differences metric all yield an analogous high-frequency-disturbance signal, and the damping multiplier may be driven by any of them.

The clamp may be replaced by a soft saturating non-linearity such as a hyperbolic tangent, in which case the upper and lower bounds are approached asymptotically rather than with a hard knee. Soft clamps trade clean boundary semantics for smoother gradient information when the valence reading feeds a differentiable downstream component.

The damping multiplier may itself be governed by a second outer loop that learns the appropriate threshold from the agent's operating history, subject to policy-defined bounds on how far the learned threshold may drift from the nominal. This adaptive embodiment is admissible only in deployments where the lineage records of the outer loop are themselves auditable.

The single-dimension loop described here may be replicated across several affective dimensions without modification, with each dimension carrying its own integrator, damping multiplier, and clamp. A coupled embodiment in which the damping multiplier of one dimension responds to the reversal rate of a correlated sibling dimension is also contemplated, useful when policy demands joint conservatism across an orthogonal pair such as valence and arousal.

Composition With Other Mechanisms

Valence stabilization sits between the stimulus reception stage of the mutation lifecycle and the affective modulation stage. Its clamped output is consumed by the admissibility gate as one of the inputs to the threshold computation; an agent whose valence is near the lower clamp will demand stronger evidence of capability before admitting a proposed mutation, while an agent near the upper clamp will admit on lighter evidence within the policy-permitted range.

The stabilization loop also interacts with the affective contagion subsystem. Because only the clamped value is broadcast, a single agent saturating its integrator does not propagate an unbounded signal into neighbouring agents. The clamp acts as a per-agent circuit breaker that prevents local instability from becoming a network-wide cascade.

A further composition exists with the lineage replay tooling used by external auditors: because every clamp activation is recorded with its triggering reversal rate and its damping multiplier, an auditor can replay the entire affective trajectory of an agent against the original stimulus stream and reproduce the clamp activations bit-for-bit, providing strong evidence that the loop behaved within its declared envelope across the full operating window.

Composition with the integrity check stage is straightforward. The stabilization record is one of the inputs to the integrity computation, allowing integrity to detect cases in which the agent is operating in a clamp-saturated regime and to lower its self-assessed reliability accordingly. This composition makes the stabilization mechanism self-aware in the limited sense that the agent knows when it is being held at its boundary.

Prior-Art Distinction

Conventional control-theoretic anti-windup, leaky-integrator filters, and saturating non-linearities are well known in signal processing and process control. The novelty claimed here lies in the application of these primitives to a governance-credentialed affective-state dimension, in the entropy-driven coupling between an oscillation detector and the integrator's effective time constant, and in the lineage-anchored emission of structured stabilization records on every tick.

Prior reinforcement-learning work on emotion- or mood-conditioned policies typically treats the affective signal as an unbounded auxiliary reward, with no structural guarantee that the signal remains inside an operating envelope. The mechanism described here imposes that guarantee at the loop level rather than relying on training-time regularization.

Prior work on bounded-rationality and risk-sensitive decision making likewise modulates a scalar parameter, but does not couple the modulation to a real-time entropy estimate of the disturbance signal nor expose the modulation as an auditable lineage record.

The combination of the leak, the entropy-driven damping, the policy-bound clamp, and the per-tick lineage emission is, taken as a whole, a governance primitive rather than a control primitive: its value is not that it stabilises a signal but that it stabilises a signal in a way that is structurally provable to a third-party auditor reading only the lineage stream. The distinction matters because it shifts the burden of trust from the implementer of the agent to the cryptographic record produced during operation, which is precisely the property that classical control-theoretic primitives do not provide on their own.

Disclosure Scope

This disclosure covers the integrator-leak-clamp loop, the entropy-driven damping multiplier, the parameter set bound to the policy reference, the lineage record format, the policy-load-time stability validator, and the composition of the stabilization mechanism with the admissibility gate, the affective contagion subsystem, and the integrity check stage. Implementation in software, in fixed-function digital hardware, and in mixed-signal hardware is contemplated. The disclosure extends to any embodiment in which a credentialed scalar affective dimension is held inside a declared operating envelope by a loop whose dynamics are gated by an entropy estimate of the disturbance signal and whose every step is committed to an auditable lineage stream.