Non-identifications and conclusion

The geometry, character, extension, and state prescription are inputs. Conservation of this current does not derive the cone or impose a metric field equation. The stress-tensor non-sourcing separations in I-B :not-source and X-A-ST :noeinstein remain applicable in their stated scopes CheungIB,CheungXAST.

A nonzero current could enter a separately declared semiclassical Maxwell model, but no Maxwell equation is imposed or solved here. In particular, the flat background connection is not asserted to solve a self-consistent sourced Maxwell equation with the computed expectation value. There is no electromagnetic backreaction or Einstein backreaction claim.

The result is a free-field one-point expectation value, not a current–current product, a dynamical response hierarchy, an interacting Ward theorem, or a conical BRST construction. No external OpenAI catalogue family or documentary separation is used as a mathematical premise. No corpus-wide nonexistence claim is made.

No standing downstream status is updated. O.1 remains NOT_CLOSED{} wherever it was not independently closed; XVI-N is not discharged, XV-B's quantum-admission exit is not opened, and bulk_ symmetry_ restored{} is not promoted by this calculation CheungO1ST,CheungEn09. These programme qualifications do not deny the explicit free-field current proved here.

. The complex regular covariance contains an odd first angular jet that the Wick square and stress tensor do not retain. Its point-split evaluation gives the exact current (eq:main). Analytic regularity controls coincidence for all cone angles, and finite-character images independently check the sign. Together with I-B-VP's even observables, this completes the three specified local one-point functions for the charged Friedrichs spectral ground state. It does not complete the state's higher products, its global microlocal analysis, or an apex or dynamical completion.