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The all-dimensional Gaussian propeller bound

Three-cell and three-dimensional cases were known.

Progress records 1

Understand the problem ↓

1 record · How we rate progress

Understanding the problem

Read the background

Three-cell and three-dimensional cases were known. The targeted advance controls any finite number of cells in every dimension using unnormalized Gaussian first moments.

First moments are not divided by cell mass. Attainment by the three-sector example requires dimension at least two and at least three cells; no different normalization is asserted.

Why it matters

If correct, extends the sharp Gaussian partition bound beyond the previously covered low-dimensional cases.

What counts as progress

A sourced resolution or substantial advance on the precise target, with hypotheses, prior context, and verification evidence stated separately.

What to watch for

  • Assess the precise statement and assumptions before comparing results.
  • First moments are not divided by cell mass. Attainment by the three-sector example requires dimension at least two and at least three cells; no different normalization is asserted.
  • Track independent assessments, dependencies, corrections, and withdrawals separately from importance.

Background review: 2026-10-11. Selected sources:

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Publication dates and editorial changes.