# Calabi flow failure reference

Family 352: A finite-time singularity of Calabi flow. First application triage, 9 October 2026 Australia/Brisbane.

## Problem and potential new use

Geometry researchers can test assumptions behind universal long-time smooth flow claims using the specified CP10 example.

## Applicability and commercial boundary

A high-dimensional invariant singularity construction is not a failure certificate for an arbitrary lower-dimensional flow or a production shape tool.

## Initial business decision

Research or conditional engineering only. A practical implementation, recurring buyer problem and willingness to pay have not been established. Mathematical usefulness alone is insufficient evidence for a standalone lucrative product.

## Next verification action

Inspect a tractable reduced model and its finite computation costs.

## Evidence scope

The catalog statement was individually reviewed. The manuscript proof and formal-scope comparison remain queued. No independent Lean verification was run. Source revision `fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb`. See [source metadata](source.json).

[A finite-time singularity of Calabi flow on projective space](https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/A-finite-time-singularity-of-Calabi-flow-on-projective-space-September-24-2026/paper.pdf).