The claim

The owner, 2026-10-23: “what if we just treat this as a kind of momentum term? or like a hebbian prior?”

The two suggestions are different mechanisms on different timescales.

Momentum, read as switching cost. g_t = argmax_g [Q(g, z_t) − κ·1(g ≠ g_{t−1})]. A governing allocation resists small transient changes of salience. This is inertia or hysteresis rather than momentum in the optimization sense.

A Hebbian prior. Let g be an allocation of authority among the processes and z the context. Governance is selected as

P(g | z, H) ∝ exp(β Q(g, z) + b_H(g, z)),

with Q the current evaluation of the allocation and b_H a learned, history-dependent bias toward allocations used before. The bias is trained on the relations by which a process j recruits or endorses a process i:

ΔE_ji = η x_j y_i (R_t − R̂_t) − λ E_ji,

co-activation gated by an outcome signal, with forgetting. This is a schematic three-factor rule, not a claim about any neural implementation. In a familiar context the prior already puts a process in a position to govern, so the case for it need not be rebuilt. CLAIM-277’s durable authority from repeated endorsement becomes this prior; CLAIM-358’s note of 2026-10-23 gives the accounting for when it pays.

Worked example (DBT). An avoidance process A, a relationship process B and a pause-and-assess procedure R. At first B has influence only if R is recruited deliberately and at cost. After practice, A’s own activation recruits R. Neither A nor B changes what it values. What changes is the conditional probability that one process’s activation recruits another with a regulatory role (CLAIM-349’s note of 2026-10-23).

Two limits

Persistence is not amortization. A strong prior can change which allocation wins while every process still does all the same costly evaluation and negotiation. Amortization is shown only when earlier work replaces later computation, communication or supervisory recruitment. In CLAIM-358’s terms, reuse pays under a declared cost measure and comparable outcomes when N(c_d − c_π) > F + C_maintenance + C_error, with C_maintenance and C_error totalled over the N encounters, and the inequality has to be measured, not inferred from stable behaviour.

A prior over authority is not a prior over actions. “When distressed, pause” is an action policy. “When distressed, make this other process’s evaluation available before acting” is a relation of influence. They look the same in familiar situations and come apart when the appropriate action changes: a recruited process with the information and capacity can choose a different response, and a cached action cannot.

Naive Hebbian learning entrenches. Whatever is recruited often gets more chances to succeed and is reinforced whether or not it deserved authority, and a routine that controls which alternatives are considered reinforces its own use. The prior encodes a history of reinforcement under a sampling regime, not competence. This is CLAIM-277’s warning and CLAIM-364’s, and it is where the same exchange found a candidate account of anxiety (CLAIM-446).

The test

Train two systems to the same action. In one, reinforce the cue-to-action mapping; in the other, reinforce recruitment of a process that chooses among actions. Then change which action is appropriate. Separately, compare recurrent cost before and after training: responses that become more persistent with no computation or supervision saved are not evidence for amortization. Learned local accommodation and a compiled supervisor should also fail differently when lower-level interactions and higher-level deliberation are disrupted selectively.

What the readings of 2026-10-24 add. Friston et al. (NOTE-1138, THEORY-923) is a published analogue of the selection rule, π = σ(Ê − F − γG), but over action policies, not over who governs. Its learned prior grows by counting the policies pursued, with no reward gate. That is closer to the entrenchment warned of below than to the rule above. Its devaluation simulation runs this claim’s test on the cached arm: once formed, the habit persists. Every policy is still scored on every trial, so the paper shows persistence, not amortization. Gerstner et al. (NOTE-1130, THEORY-909) narrow “three-factor rule”. Only the hour-scale tag of synaptic consolidation is well established. Eligibility traces on the scale of seconds have recent support, mostly from brain slices, and the rule above lacks the decaying trace that learning from delayed outcomes needs. With reward minus expected reward as the third factor, frequency alone is not reinforced, which answers part of the entrenchment point below; what is never recruited is still never credited. Implementation intentions (NOTE-1124, NOTE-1131; THEORY-913, THEORY-904, THEORY-918, THEORY-908) are the nearest studied case. An if–then plan “delegat[es] the control of goal-directed behavior to specified situational cues”, which is a prior over actions, not over who governs. It works only while the goal is active, a third arrangement this claim had not named. The effect is reliable but small: d = .65 in the 2006 meta-analysis, uncorrected for publication bias, and about .15 after the 2024 review’s robust Bayesian correction. The 2006 tests of efficiency and conserved capability measure later effort saved, not only persistence, though for a cached action. What happens when the planned response proves wrong is the authors’ open question (“We do not know yet what happens”), and it is this claim’s test. Edwards et al. (NOTE-1121, THEORY-922) associate DBT homework with falling urges, not with less frequent behaviour, and phone coaching did not significantly predict outcome. They measure neither skill use nor its cost. Linehan’s manual and Amestoy et al.’s mediation study were sought and are Unavailable.

What it does not say

  • That this is how DBT works. The DBT example is a functional interpretation, and the record holds no reading of Linehan.
  • Which learning law is right: Hebbian updates, Bayesian policy priors and learned arbitration can produce the same behaviour from different dynamics.
  • That a learned governance arrangement that is cheap and stable is appropriate (QUESTION-087).

Note of 2026-10-29: promoted

The fourteenth status review promoted the claim, at the status review’s ruling (the owner delegated these rulings), after moving CLAIM-358 to complements and the LITs out of grounds. Its test, a change of the appropriate action after training a cached and a recruited arm, is still unrun; Friston et al.’s devaluation run is the cached arm alone.