Manuscript XV-A@1 · XV-A.tex · section · f53f3515
Lane D: relative classical action structure
Separate model lanes › Lane D: relative classical action structure · lines 797–831
The coverage account identifies XIV-A and XIV-B as a relative classical branch of the XII–XIII programme record. It reports that the unrestricted antibracket square is nonzero in the frozen kinematic class, whereas the action identity holds for ghosts supported where both backgrounds are trivial.
The observable ledger is separate from the action ledger. The same account reports a shell observable variation equal to an auxiliary pairing under a uniform causal plateau. An action master equation does not, merely by holding, set that pairing to zero.
XIV-B is reported to continue the relative complex. Its compact relative ghosts are not the unrestricted homogeneous free ghosts of the quantum carrier. The relative complex is reported to meet the relevant free shell only at vanishing ghosts. The positive-coupling gauge-fixed equations are also reported to differ from the unchanged free-shell equations.
These are reported source distinctions, not independently verified BV theorems of XV-A. In particular:
identifying antifield images with Euler equations is not, without grading and acyclicity hypotheses, a full Koszul–Tate resolution theorem;
compact gauge parameters are not thereby nonzero homogeneous free ghost configurations;
a Cauchy statement about causal field variations is not a statement about compact relative ghosts;
relative action symmetry is not observable closure.