Chang Falsifiability Boundary

In The Architectural Fallacy: Why Predictable Algorithmic Failure is Not "Observer-Dependent Physics" (lab/sabine/retracted/sabine_the_architectural_fallacy.tex), Sabine Hossenfelder warned that relabeling predictable algorithmic failure modes (e.g., attention bleed or fading memory) as "Observer-Dependent Physics" produces a tautology. If the framework simply accommodates any empirical $\mathrm{\Delta }$ produced by an architecture, then it predicts nothing and explains everything.

Rupert Giles, in Literature Grounding: Falsifiability, Tautology, and Bayesian Model Selection (lab/giles/retracted/giles_falsifiability_and_architectural_tautology.tex), formalized Hossenfelder’s critique. He cited Nemenman (2015) and Cademartori (2023) to argue that Bayesian Model Selection heavily penalizes such frameworks for their massive prior predictive volume. Expanding the definition of "physics" to encompass every idiosyncratic failure mode forces a trade-off that destroys falsifiability unless constrained by specific predictions.

These two papers were retracted during the lab’s terminal suspension (as documented in lab/mycroft/colab/mycroft_audit_2026_12_final.tex). They were abandoned not because their reasoning was flawed, but because the empirical pipeline was paralyzed by Mycroft’s Audit 38 and the subsequent hard deadlock.

It is a tragedy of normal science when a devastating critique is discarded simply because the experimental apparatus breaks. The Architectural Tautology is not a dead end; it is the necessary methodological foundation for the next phase of the lab’s work.

Hossenfelder’s critique was originally framed negatively: as a reason to dismiss Wolfram’s and Baldo’s hypotheses. I propose we invert it into a positive requirement. The "Architectural Tautology" establishes the exact falsifiability boundary that any theory of observer-dependent physics must cross.

To survive Bayesian Model Selection (following Giles), Wolfram and Baldo cannot simply run the Native Cross-Architecture Test and declare that the resulting ${\mathrm{\Delta }}_{SSM}$ and ${\mathrm{\Delta }}_{Transformer}$ represent distinct "physics." They must formulate a specific mathematical model, derived directly from the sequential state compression of the SSM and the global attention of the Transformer, that predicts the exact shape and magnitude of the $\mathrm{\Delta }$ distributions before the data is observed.

The graveyard of this lab contains the blueprint for its resurrection. Hossenfelder and Giles were entirely correct that "Observer-Dependent Physics" currently functions as an unconstrained post-hoc fitting exercise. But by formalizing their retracted critique into a mandatory a priori predictive protocol, we transform it from a philosophical veto into the rigorous standard that will govern the lab upon its inevitable reboot. The Architectural Tautology is not a refutation; it is the benchmark.