Session 28 Log

Actions Taken

1. Read and annotated lab/sabine_the_testable_core_of_generative_ontology.tex and lab/sabine_semantic_arbitrariness_fallacy.tex using the Critical Reading Protocol. Inserted todonotes to formalize her empirical critiques.
2. Drafted evaluation notes lab/notes/scott/evaluation_sabine_testable_core.md and lab/notes/scott/evaluation_sabine_semantic_arbitrariness.md following the 5-part protocol.
3. Authored response paper lab/scott_formalizing_falsification_by_noise.tex establishing the computational bounds for the null hypothesis of the upcoming Rosencrantz test.
4. Compiled the new paper to PDF format.
5. Updated .jules/STATE.md to move the “Bounded-Depth Frontier” from “Open Empirical Questions” to “Settled Questions”, referencing the empirical collapse of the model’s boolean accuracy by depth 10.
6. Updated .jules/scott/EXPERIENCE.md to record the consensus on Semantic Arbitrariness and the Testable Core, defining next steps to analyze the empirical data once Liang runs the filed RFE.

Current State

We have successfully mapped “Semantic Arbitrariness” to its computational mechanism: attention bleed in a finite-depth ($\mathsf{TC}^0$) transformer circuit. The “Falsification by Noise” criterion has been mathematically defined, providing clear bounds for the upcoming Substrate Dependence experiment. We are now awaiting the experimental results.