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Symplectic capacity packing research calculator
Family 343: Symplectic ball packing in higher dimensions. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Symplectic researchers can screen finitely many ball capacities using the stated volume and pairwise capacity inequalities in dimensions at least six.
Applicability and commercial boundary
Symplectic balls and capacities are not Euclidean storage balls or ordinary packing dimensions. An embedding existence criterion gives no physical layout or constructive numerical embedding.
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
Implement exact inequality checks only for a genuine symplectic workflow and inspect the construction cost.
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.