References

XA

N. Cheung, {Landmark X-A: Classical covariance of one fixed-regulator switched relational scalar through order ${\kappa }^2$}. Supplied companion manuscript. Used only for the declared classical prescription, its Cauchy facts, and the varied-action formula identified in the text.

BFR

R. Brunetti, K. Fredenhagen, and K. Rejzner, “Quantum gravity from the point of view of locally covariant quantum field theory,” Communications in Mathematical Physics 345 (2016), 741–779. arXiv:1306.1058. Comparison framework only; no quantum construction is imported.

Donoghue

J. F. Donoghue, “General relativity as an effective field theory: The leading quantum corrections,” Physical Review D 50 (1994), 3874–3888. arXiv:gr-qc/9405057. Comparison background only; the sign checks in this manuscript are derived in the declared signature.

Frob

M. B. Fröb, “Gauge-invariant quantum gravitational corrections to correlation functions,” Classical and Quantum Gravity 35 (2018), 055006. arXiv:1710.00839. Comparison background only; no quantum cancellation or coordinate Green-function prescription is used as a premise.