PIATRA . INSTITUTE

author-function atlas

how quotes become clichés through circulation, context collapse, and attribution drift

Entanglement: Low

Entanglement: Mid

Entanglement: High

Click a point in the landscape (or a top cliché entry) to inspect its metrics and genealogy.

The Author-Function

Foucault argued that the author is not a person behind a text but a function of discourse: a classificatory device that groups texts, grants authority, and restricts interpretation. When we say “Nietzsche said...” we invoke a brand-name that does social work independent of verifiable sourcing. This playground makes that dynamic visible.

Cliché Index

Each variant is scored by a composite cliché index:

C = \sigma\!\bigl(\alpha \ln(f+1) + \beta \cdot \text{disp} - \gamma \cdot \text{surp} - \delta \cdot \text{ret} + \epsilon \cdot \text{mut}\bigr)

where $f$ is circulation frequency, $\text{disp}$ is channel dispersion, $\text{surp}$ is surprisal (low = predictable), $\text{ret}$ is context retention, and $\text{mut}$ is mutability. High-cliché variants are widely circulated, dispersed across channels, unsurprising, context-free, and highly mutable.

Entanglement Surplus

The entanglement surplus measures the gap between name-brand attachment and source verifiability:

E = A_{\text{name}} - A_{\text{src}}

Positive $E$ means the author's name is doing more legitimation work than the actual source context provides. This is the signature of discourse entanglement: the name circulates as a brand-token, increasingly detached from verifiable citation.

Replicator-Mutator Dynamics

The population evolves through a replicator equation: variants with higher fitness (portable, general, brief, name-legitimized) grow in frequency while low-fitness variants decline. Mutations spawn paraphrase-variants that inherit perturbed traits. Over time, the population drifts toward cliché attractors in the lower-left of the specificity-circulation landscape: general, highly circulated, context-collapsed slogans carrying a prestigious name.

Notes

This is a synthetic model. The population is seeded from canonical phrase fragments, not real quote corpora.
All parameter values are normalized to [0, 1]. Absolute values are arbitrary; relative dynamics matter.
The scatter size encodes excerpt/context-loss pressure (inversely related to retention).
The three entanglement buckets (Low, Mid, High) split variants by their name-minus-source surplus.

Model provenance

claude opus 4.8February 2026·first cut. builds the author-function atlas around Foucault's author-function: a replicator-mutator population of quote-variants scored by a logistic cliche index and an entanglement surplus E = a_name - a_src, drifting toward context-collapsed slogans. adds a deterministic calibration of the cliche, entanglement, and fitness cores, six assumptions that separate the discourse framing from the synthetic toy, and a research companion.

Calibration

The live population is stochastic, so only the noise-free core is checked. Each predicted value is computed by calling the model functions on a hand-built variant, never hardcoded to match its target.

Assumptions

Model changelog

v1.0February 2026

population model: ninety seed variants per author, each carrying frequency, dispersion, surprisal, retention, mutability, specificity, name-prestige (a_name), and source-verifiability (a_src).
cliche index C = sigmoid(1.1 ln(f+1) + 0.8 disp - 0.55 surp - 1.0 ret + 0.7 mut), reported per variant and ranked in a top-cliche list.
entanglement surplus E = clamp(a_name - a_src, -1, 1), bucketed into low / mid / high name-minus-source regimes.
replicator-mutator step: exp-fitness growth, frequency renormalisation, perturbed paraphrase mutation, and frequency-capped culling.
scatter atlas over specificity (x) and log-circulation (y) with point size encoding context-loss pressure, plus lineage chains for selected variants.
calibration: deterministic checks on the cliche midpoint, a saturated cliche, the entanglement gap, and fitness monotonicity in generality and prestige (all error 0).
framing kept honest: the corpus is synthetic, the weights are hand-set, and the cliche-attractor drift is an observed tendency of the toy, not a proven fixed point.

read the research companion →