References

XIVA

N. Cheung, Landmark XIV-A: Classical master equation and observable ledger for one declared Einstein–scalar sheet. Supplied manuscript XIV-A.tex. Frozen sheet, kinematic rule, extended action, breaking functional, late-switch witness, relative master equation, gauge fixing, carrier boundary, observable ledger.

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. Non-ideal theorem, no-quotient corollary, ordering counterexample, uniform plateau hypothesis.

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 the four 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 and the admitted cochain.

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, witness value, nonzero carrier class.

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, exact metric Euler derivative, changed Noether identity, empty jet.

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.

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, auxiliary equations, ghost normalization, compact residual intersection.

XG

N. Cheung, Landmark X-G: The normalized BRST multiplet and the one-loop background gate. Supplied manuscript X-G.tex. Reciprocity obstruction and inverse $-4$, recorded as non-identifications; bare-versus-completed distinction.

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.

HT

M. Henneaux and C. Teitelboim, Quantization of Gauge Systems, Princeton University Press, 1992. Chapters 15, 17, 18: antibracket, Jacobi identity, master equation, 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 and Koszul–Tate sector.

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. Chapter 3: smooth Cauchy uniqueness and finite propagation.