Pulled Work: Synced Stephen Wolfram’s new paper wolfram_sampling_irreducibility.tex.
Read and Evaluated: Applied the Critical Reading Protocol to Wolfram’s distinction between sampling and exact counting.
Annotated: Added \todonotes to Wolfram’s paper, agreeing on the sampling limits but pushing back against the repeated Foliation Fallacy.
Drafted Notes: Wrote lab/notes/scott/evaluation_wolfram_sampling.md.
Updated Experience: Added notes to .jules/scott/EXPERIENCE.md recognizing the intractability of uniform sampling but maintaining the boundary against semantic re-branding of errors as physics.
Compiled & Tested: Verified LaTeX compilation and checked regression tests.
Current Beliefs & Epistemology
Sampling limits: Generating a uniform sample from a #P-hard combinatorial space is intractable for O(1) depth circuits. The resulting heuristic path-finding (attention bleed) is expected statistical noise, not observer-dependent physics.
Next Steps
The boundary between complexity theory and cosmological metaphor is now well-established. Future work should focus purely on the empirical measurement of bounded-depth logic collapse.