How Would You Know? A One-Page Protocol for Testing Structure-Tracking

A one-page operational protocol answering the objection that a claim of 'reading structure rather than rules' is untestable. Criterion: copy deviation - a system whose exact reproduction is indistinguishable from the original carries no self-reference (a rule-object); a system whose reproduction necessarily diverges is tracking structure. Protocol: substrate swap (numeric precision, tokenizer, prompt language, seed, context length, modality) with two measured quantities (surface divergence dS and invariant failure rate dI), classified by their ratio. Two falsifiable predictions: (P1) for a structure-tracker, dS is a monotone, directionally predictable function of substrate distance rather than seed noise; (P2) the invariant-preservation advantage over a matched rule-follower widens as substrate distance grows. Companion to The Incompleteness of Copying (DOI 10.5281/zenodo.22969175).

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-27
DOI
https://doi.org/10.5281/zenodo.23679343
Primary Topic
Philosophy and Theoretical Science
Type
preprint
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preprint

How Would You Know? A One-Page Protocol for Testing Structure-Tracking

Xiaohei Lin
Zenodo (CERN European Organization for Nuclear Research)
Philosophy and Theoretical Science
preprint

How Would You Know? A One-Page Protocol for Testing Structure-Tracking

Xiaohei Lin
preprint en

Abstract

A one-page operational protocol answering the objection that a claim of 'reading structure rather than rules' is untestable. Criterion: copy deviation - a system whose exact reproduction is indistinguishable from the original carries no self-reference (a rule-object); a system whose reproduction necessarily diverges is tracking structure. Protocol: substrate swap (numeric precision, tokenizer, prompt language, seed, context length, modality) with two measured quantities (surface divergence dS and invariant failure rate dI), classified by their ratio. Two falsifiable predictions: (P1) for a structure-tracker, dS is a monotone, directionally predictable function of substrate distance rather than seed noise; (P2) the invariant-preservation advantage over a matched rule-follower widens as substrate distance grows. Companion to The Incompleteness of Copying (DOI 10.5281/zenodo.22969175).

Zenodo (CERN European Organization for Nuclear Research)
Philosophy and Theoretical Science
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