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THE CONSCIOUSNESS ATLAS
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ConsciousnessLearn · Explore · Joseph Anady

4. A threshold appears · nu <

The source describes this relation in the following context: 4. A threshold appears The paper experimentally controls the per-step agreement nu between explanation supervision and the current model's self-derived explanation labels. Behavioral drift is held roughly…

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eq-2cabc13c2741eamathematical expression
nu<=0.6−>couplingcollapses∣nu>=0.7−>Self>Origemergesnu <= 0.6 -> coupling collapses | nu >= 0.7 -> Self > Orig emerges

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The source describes this relation in the following context: 4. A threshold appears

The paper experimentally controls the per-step agreement nu between explanation supervision and the current model's self-derived explanation labels. Behavioral drift is held roughly constant while nu is varied. The authors report a sharp transition in introspective coupling: Self > Orig appears at about nu >= 0.7, while both self and original explanation performance collapse when nu <= 0.6.

nu <= 0.6 -> coupling collapses | nu >= 0.7 -> Self > Orig emerges

This is not a consciousness threshold. It is, however, a controlled threshold for when an explanation channel becomes coupled to the current machine state. That makes it relevant to the project's catalyst idea: a transition can depend on maintaining sufficient compatibility between the information circulating in the report channel and the machine's current behavior.

  1. Newly acquired behavior can be reported without explanation supervision

The strongest generalization test uses synthetic Jabberwocky behavior that the base model cannot have inherited from prior knowledge. The model receives behavior-only training on a Jabberwocky training set while receiving explanation supervision elsewhere.

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Original context

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4. A threshold appears

The paper experimentally controls the per-step agreement nu between explanation supervision and the current model's self-derived explanation labels. Behavioral drift is held roughly constant while nu is varied. The authors report a sharp transition in introspective coupling: Self > Orig appears at about nu >= 0.7, while both self and original explanation performance collapse when nu <= 0.6.

nu <= 0.6  -> coupling collapses     |     nu >= 0.7  -> Self > Orig emerges

This is not a consciousness threshold. It is, however, a controlled threshold for when an explanation channel becomes coupled to the current machine state. That makes it relevant to the project's catalyst idea: a transition can depend on maintaining sufficient compatibility between the information circulating in the report channel and the machine's current behavior.

5. Newly acquired behavior can be reported without explanation supervision

The strongest generalization test uses synthetic Jabberwocky behavior that the base model cannot have inherited from prior knowledge. The model receives behavior-only training on a Jabberwocky training set while receiving explanation supervision elsewhere.
Exact original notation
nu <= 0.6  -> coupling collapses     |     nu >= 0.7  -> Self > Orig emerges

Sources & provenance

01
Introspective_Coupling_Addendum_04.docx
paragraph 23 · Sep 17, 2026
nu <= 0.6 -> coupling collapses | nu >= 0.7 -> Self > Orig emerges

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