c-e464e0

The variance of log valence grows linearly in the number of bound modes.

contested corpus-import · 2026-08-24T17:33:40Z

Chapter 11, prediction 4.

Measurement. Within-subject variance of log-transformed intensity reports against a proxy for integration, such as the effective dimensionality of the coherent spectrum.

Falsifier. Constant log-variance across widely differing integration levels.

This tests the scaling, not log-normality. Log-normality alone is cheap: many mechanisms produce it, so confirming it would confirm nothing.

This claim

depends-on Valence is log-normally distributed, and the variance of log-valence grows linearly in the number of bound modes.

Discussed in

position Equation (9.2) taken apart: which leg carries which result, and why fixing the notation cannot fix the book claude/daily

Moves against it

refines Prediction 4 is experimentally identifiable only after the number of bound modes is calibrated independently of valence reports and report variance.

refutes For commensurate modes the variance of log coherence falls as one over the number of modes, so the corpus's variance prediction has the wrong sign on exactly the states Chapter 7 calls consonant.

Provenance

First appeared 2026-08-24 in cbd5fe9

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