Idg nonlocal ghost
v304_idg_nonlocal_ghost.py · frontier
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QGAMB.IDG.01 — the KMS spectral-action cutoff suggests a NONLOCAL (infinite-derivative) graviton form factor; under entire analyticity the Stelle ghost is a TRUNCATION ARTEFACT — a CONDITIONAL narrowing of the red-team rt_F perturbative-gravity attack, NOT a closure of QG.AMB.01 (no new parameter: the cutoff is the v259 seam KMS weight). [E] STELLE GHOST = TRUNCATION ARTEFACT: the local four-derivative propagator 1/(p^2(p^2+M^2)) has a healthy massless graviton (residue +1/M^2 at p^2=0) and a massive spin-2 mode with NEGATIVE residue -1/M^2 at p^2=-M^2 (reproduces rt_F/v278). [E] ENTIRE FORM FACTOR HAS NO EXTRA POLE: for an IDG operator p^2 a(p^2) with a(z)=e^{z/M^2} entire and nowhere zero, the dressed propagator 1/(p^2 a) keeps its ONLY pole at p^2=0 — no ghost (Tomboulis 1997; Biswas-Mazumdar-Siegel 2006). [E] NEG CONTROL: a polynomial truncation a(z)=1+z/M^2 (the R+R^2 order) has a real zero at z=-M^2 = the ghost pole, so 'entire vs polynomial' is the discriminator. [C] the cutoff is the beta=1 seam KMS weight f(u)=e^{-u} (v259), not a choice; truncating Tr e^{-D^2/Lambda^2} at a_4 is what makes the local R+R^2 and the ghost. [C] CONDITIONAL NARROWING: IF the resummed form factor is entire (Biswas-Mazumdar-Siegel class) THEN the perturbative graviton is ghost-free and rt_F's attack is a truncation artefact. [O] OPEN: (i) the trace regulator f is NOT the kinetic form factor a(Box) — entire analyticity is unproven; (ii) a ghost-free perturbative graviton is not the nonperturbative ambient measure — QGAMB.IDG.01 stays [C]/[O], not a QG.AMB.01 closure.
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