FactoryWager Wiki

Jacobian nullspace

FactoryWager AuditConcept — sibling SSOT (not BunToken / bun.com).

Field Value
id jacobian-nullspace
kind AuditConcept
publishedAt 2026-07-21
since 2026-07-21
docs docs/audit/concepts/jacobian-nullspace.md

Description

Local linear-algebra check on DF(x): a non-trivial null vector would indicate a first-order blind direction. For Nagata-type automorphisms the Jacobian determinant is constant and non-zero, so the nullspace is trivial everywhere — local invertibility does not by itself settle tameness or Jacobian-conjecture questions. Local gradient checks therefore cannot certify the global picture.

Proof integrity — evidence blobs are fingerprinted via evidence.algorithm + evidence.digest (primary sha3-256). See concept sha3-integrity. Tamper-authentication (HMAC/signing) is a separate, unimplemented lane.

References

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Suggest

bun tools/bun-doc-refs.ts suggest "Jacobian nullspace"
bun tools/bun-doc-refs.ts suggest --audit "jacobian-nullspace"
bun tools/bun-doc-refs.ts suggest --audit --json "jacobian-nullspace"