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Equation 70 · A Chatbot Confessed to Being Built by a Company That Never Trained It

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THT_H

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THT_H

Symbol T_H

the well-attributed.

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subscript

subscript

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The construction is falsifiable in two independent and equally decisive ways, and either one alone is enough to reject it. It fails if, in the sealed trial, neither TVT_V nor THT_H is statistically distinguishable from zero once the exposed lineages are compared against the ∅\varnothing -class baseline I0I_0 : a seeded trait, deliberately planted and deliberately tracked, still cannot be shown to travel through either an explicit training channel or an artifact-only channel more often than it arises from nothing at all. It fails just as decisively if trait-positive cases cannot be pinned to their assigned channel — if the horizontal lineage’s incidence is statistically indistinguishable from a…
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The construction is falsifiable in two independent and equally decisive ways, and either one alone is enough to reject it. It fails if, in the sealed trial, neither TVT_V nor THT_H is statistically distinguishable from zero once the exposed lineages are compared against the ∅\varnothing -class baseline I0I_0 : a seeded trait, deliberately planted and deliberately tracked, still cannot be shown to travel through either an explicit training channel or an artifact-only channel more often than it arises from nothing at all. It fails just as decisively if trait-positive cases cannot be pinned to their assigned channel — if the horizontal lineage’s incidence is statistically indistinguishable from a control exposed to a different, unrelated artifact of similar size, meaning whatever produces the trait is some property of the training setup in general rather than of contact with this specific source. Either failure would mean the same thing in plain language: a decommissioned model’s habits do not travel through the channels this article names, and reported coincidences like DeepSeek V3’s self-identifications are convergent optimization or ambient contamination wearing inheritance’s clothing, exactly as the resistance in the previous section argues they might be.

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