What the constructor does not derive

The source rule is a deterministic semantic substitution into a preconstructed geometric dictionary, called Option N in the series. When its packet output varies, Proposition prop:affine prevents interpreting it as a definite classical output of an affine channel.

No relation $\mu =8\pi Gm$ is derived. No stress-energy normalization, gravitational action, quantum state prescription for a field source, or renormalized source instrument is supplied. The symbol ${\mathsf{Ein}}_0$ denotes exactly the five-check matching packet, not an Einstein tensor or an Einstein equation.

For completeness, even familiar stress-tensor identities do not supply such a missing equation.