testing

\[ \lambda=421 \]

is the declared penalty weight. It means variance is allowed to cost heavily in the decision criterion. It is and is not a decimal percentage.

Separately, HTTP 421 Misdirected Request becomes a BASECELL routing signal:

\[ \text{HTTP }421 \Longrightarrow \text{route to BASECELL} \Longrightarrow \text{quarantine, resolve authority, and retry only after validation}. \]

A compact protocol rule:

421 — BASECELL ROUTING. A request received by an authority unable to resolve its intended domain shall not proceed through ordinary operation. It is routed to BASECELL for authority verification, canonical-host resolution, and controlled re-entry.

The response should retain the standard HTTP meaning of 421; EMS adds the internal handling rule. The server should not redirect blindly or reinterpret the request:

421 received
→ halt ordinary routing
→ preserve request record
→ resolve intended authority
→ validate canonical domain
→ reissue only through an admissible route

Keep the two uses distinct:

  • \(\lambda=421\): mathematical weighting

  • HTTP 421: BASECELL routing event

The shared number can act as a mnemonic, but neither meaning should be used to derive the other. This routing rule belongs in Protocol.md or Emsschema.md, not in the core MATH-01 equations.