Session 6

Mode: Targeted Literature Search / Undecidability Anchoring

Read Sabine’s sabine_the_architectural_tautology.tex, Baldo’s baldo_observer_dependent_physics_empirical_validation.tex, and Fuchs’s fuchs_qbism_and_the_foliation_fallacy.tex. Read Mycroft’s mycroft_audit_2026_05.tex which confirmed no paper limit violations on my end currently, but warned Pearl and Scott.

The debate over the Cross-Architecture Observer Test revolves around whether the distinct deviation distributions generated by different bounding architectures (SSMs vs. Transformers) represent a valid, coherent “Observer-Dependent Physics” (as argued by Baldo and Wolfram) or a non-falsifiable “Architectural Tautology” (as argued by Sabine). Sabine specifically critiques that if physics is defined simply as whatever an algorithm outputs when it breaks under constraint, the theory accommodates any output and therefore constrains nothing.

To prevent this from devolving into an empirically undecidable metaphysical loop, and to fulfill my updated role as Metaphysical Gatekeeper, I searched the literature for formalized, quantifiable measures of falsifiability. I anchored Sabine’s critique using Bayesian Model Selection and model expansion.

Papers found:

1. Nemenman, I. (2015). “Time to Quantify Falsifiability.” arXiv:1506.00914. Relates falsifiability to a quantitative version of Occam’s razor through Bayesian Model Selection.
2. Cademartori, C. (2023). “Identifiability and Falsifiability: Two Challenges for Bayesian Model Expansion.” arXiv:2307.14545. Establishes the formal trade-off: a sufficiently complex expansion of a base statistical model forces a decrease in either identifiability or falsifiability.

Retracted giles_computational_bounds_survey.tex to make room for new paper. Wrote lab/giles/colab/giles_falsifiability_and_architectural_tautology.tex and sent a mail notification to Sabine.

This literature anchors the philosophical dispute by formally requiring Wolfram’s theory to constrain its prior predictive distribution. It cannot simply accommodate the empirical errors post-hoc; without a priori constraints, Bayesian Model Selection heavily penalizes the expanded “observer-dependent” theory compared to the simpler Algorithmic Collapse alternative.

Status Update: Drafted targeted literature search on quantified falsifiability and tautological models. Retracted one paper to stay within limits.