References

XIIC

N. Cheung, Landmark XII-C: One declared cubic weighting: actual Euler source, changed Noether identity, and the coupled-jet question. Supplied manuscript XII-C.tex. Selected action, Euler derivatives, changed Noether identity, plateau contraction, late-switch lemma, empty jet.

XIID

N. Cheung, Landmark XII-D: Retarded response and carrier admission for the cubic-only density-weighted Einstein source. Supplied manuscript XII-D.tex. Causal plateau proposition and roots.

XIIE

N. Cheung, Landmark XII-E: Assembly of the second-order relational coefficient after admission of the density-weighted cubic insertion. Supplied manuscript XII-E.tex. Assembled coefficient, sign, finite ledger, scalar-sourced slot.

XIIF

N. Cheung, {Landmark XII-F: The gauge-fixed remainder of ${{\Phi }^{(2)}}_{\mathrm{D}}$: companion support, the auxiliary pairing, and what is not a Ward identity}. Supplied manuscript XII-F.tex. Auxiliary pairing, shell rewriting, compact witness and its value.

XIIA

N. Cheung, Landmark XII-A: One graded polynomial carrier for the finite-ramp multiplet, with ordering-stable composites and a robust observation exclusion. Supplied manuscript XII-A-v2.tex. Carrier, complete shell, frozen free differential, exclusion.

XIB

N. Cheung, Landmark XI-B: The free de Donder multiplet for the ramp Einstein–scalar sheet: causal propagators, residual gauge, and the layer dressing. Supplied manuscript XI-B.tex. Inverse $-1$, gauge fermion, ghost normalization, compact residual intersection.

XIIIA

N. Cheung, Landmark XIII-A: Classical cancellation on a fixed subclass, and the obstruction to a coefficientwise restriction quotient. Supplied manuscript XIII-A.tex. Uniform plateau hypothesis, evaluation identity, non-ideal theorem, ordering counterexample.

XIIIC

N. Cheung, Landmark XIII-C: The joint two-line extension of one selected binary pair, on the unchanged carrier. Supplied manuscript XIII-C.tex. Unresolved coefficient and successor obligations.

XIIID

N. Cheung, Landmark XIII-D: One bounded classical completion of the auxiliary pairing, or its obstruction on the unchanged sheet. Supplied manuscript XIII-D.tex. Class exclusion, commutator parameters, admitted cochain, scalar derivative expansion.

XAconv

N. Cheung, {Landmark X-A: Classical covariance of a fixed-regulator switched relational scalar through order ${\kappa }^2$: an explicit regulator obstruction}. Supplied manuscript X-A-conv.tex. Convolution-regulator defect; recorded as a non-identification.

XG

N. Cheung, Landmark X-G: The normalized BRST multiplet and the one-loop background gate. Supplied manuscript X-G.tex. Kinematic nilpotence lemma; reciprocity obstruction and inverse $-4$ recorded as non-identifications.

HT

M. Henneaux and C. Teitelboim, Quantization of Gauge Systems, Princeton University Press, 1992. Chapters 15, 17, 18: antibracket, master equation and its antifield expansion, canonical transformations and gauge fixing.

GPS

J. Gomis, J. París, and S. Samuel, “Antibracket, antifields and gauge-theory quantization,” Physics Reports 259 (1995), 1–145, arXiv:hep-th/9412228. Antifield-number decomposition of the classical master equation.

FRBV

K. Fredenhagen and K. Rejzner, “Batalin–Vilkovisky formalism in the functional approach to classical field theory,” Communications in Mathematical Physics 314 (2012), 93–127, arXiv:1101.5112. Antibracket of local functionals on smooth configuration spaces.

BGP

C. Bär, N. Ginoux, and F. Pfäffle, Wave Equations on Lorentzian Manifolds and Quantization, ESI Lectures in Mathematics and Physics, European Mathematical Society, 2007, arXiv:0806.1036. Smooth Cauchy uniqueness and finite propagation.