The claim

A5 read prejudice as a loop the record already models. “Their expectation changes how they interact with those people. They may avoid them, withhold cooperation, interpret ambiguity negatively, or offer fewer opportunities to demonstrate trustworthiness. Those behaviors alter the evidence available in subsequent encounters.” That is CLAIM-297’s coupling of meaning and influence, and CLAIM-406’s structural pre-emptive injustice is the same loop deciding whose word is sought.

In CLAIM-330’s linearization the loop has a state (the current biases m and a) and a coupling (β, γ, how far each shapes the other’s update). An intervention can act on either.

  • On the state. A friend from the disfavoured group is met and liked. The person’s response to the friend changes; the rule by which the group’s members are judged does not. A4: “A prejudiced person can befriend a member of a targeted group while preserving their prejudice toward everyone else. They simply classify the friend as an exception.”
  • On the coupling. The encounter changes how far what happens in cooperation is allowed to revise the interpretation that governs the category. Then later evidence from other members is taken differently. CASE-146 sets the two side by side.

CLAIM-330 says only the loop can destabilize the symmetric state, and that scoring independently of the interpretation (γ ≈ 0) removes the instability. In that linearization a change of state alone dies away while βγ < (1 − α)(1 − δ), and there only a change of coupling lasts. Above the threshold, a change of state along the growing direction is amplified with the coupling unchanged. CLAIM-330 holds nothing about the bounded system’s attractors, where a large enough change of state could carry the loop to another one. So the claim does not say a durable change must act on the coupling. Whether the durable changes after contact needed one is what the defeat condition asks.

What it does not say

  • Not a threshold for prejudice. A5: the stability result “does not establish a threshold for real-world prejudice reduction.” The claim borrows the model’s distinction between state and coupling, not its numbers.
  • Not that a coupling change is always good. A change in how far outcomes revise the rule can make a regime more responsive or entrench a new one; CLAIM-404 is the case where it is done from outside.
  • Not that the two can always be told apart. CLAIM-414 says matched ordinary trajectories can hide such differences, and the defeater is the test.