# Standard-map chaos research benchmark

Family 146: Positive metric entropy for the standard map. First application triage, 9 October 2026 Australia/Brisbane.

## Problem and potential new use

Dynamics researchers can compare large-parameter standard-map simulations to the claimed positive area metric entropy.

## Applicability and commercial boundary

Sufficiently large parameter and positive entropy give neither an effective threshold nor a usable mixing rate, random-bit source or cryptographic property.

## Initial business decision

Research or conditional engineering only until an effective implementation and a recurring buyer problem are identified. No commercial demand or profitability is established. Where a direct product bridge is weak, the legitimate use is a research reference or evidence adapter, rather than a new standalone company.

## Next verification action

Extract an effective parameter threshold and inspect finite-orbit bias.

## Evidence scope

The catalog statement was individually reviewed. The manuscript proof and selected formal statement have not yet been compared in depth for this family. No independent proof verification was run. Pinned source revision `fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb`. See [source metadata](source.json).

[Positive Metric Entropy for the Standard Map at Large Parameters](https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Positive-Metric-Entropy-for-the-Standard-Map-at-Large-Parameters-September-23-2026/paper.pdf).