Original ledger status
GRAV.AMPLITUDE.01
GRAV.AMPLITUDE.01
The entire-form-factor graviton-exchange AMPLITUDE is finite, UV-softened and tree-unitary (2026-06-24) -- perturbative gravity as an explicit scattering problem, extending v304/v370/v380 from the propagator to the amplitude. The dressed spin-2 propagator P(p^2)=e^{-p^2/M^2}/p^2=1/(p^2 a) with a(u)=e^u (u=p^2/M^2), M=M_scal. [E] ONE POLE, GHOST-FREE: a=e^u entire and nowhere zero (v380) => the only pole is p^2=0 with residue lim p^2 P=e^0=1>0 (one healthy massless graviton). [E] UV-SOFTENED: the dressed/GR ratio e^{-u} at u=1,5,10,20 = 0.37,6.7e-3,4.5e-5,2.1e-9 -- suppressed faster than any power (infinite-derivative improvement), monotone->0. [E] LOW-ENERGY = GR + CALCULABLE CORRECTION: e^{-u}=1-u+u^2/2-...; the leading deviation -u=-p^2/M^2 (M=M_scal=c3^{7/2}Mbar~3.06e13 GeV, v253). [C] TREE UNITARITY: a single positive-residue pole, no extra poles / negative-norm states (entire zero-free form factor) => Im A>=0, consistent with v370 (spin-2) + v380 (entire). [C] AMPLITUDE STRUCTURE: A=(kappa^2/2)(T.P2.T')e^{-p^2/M^2}/p^2, GR at low energy, softened in the UV (P2 = Barnes-Rivers spin-2 projector, v370); perturbative-only (QG.AMB.01 stays a [C] redundancy, v369).
Recorded status: Perturbative graviton amplitude [E]/[C] (entire-form-factor exchange: finite, ghost-free, UV-softened, tree-unitary; perturbative-only)
Dependencies, status detail and source
Canonical status: [E] the single positive-residue pole + the UV softening (e^{-u} faster than any power) + the GR limit and first correction; [C] the tree unitarity and the amplitude structure (perturbative-only). Extends v304/v370/v380 from propagator to amplitude; does NOT touch the non-perturbative measure (QG.AMB.01); the scale M=M_scal (v253) and the form factor = the seam KMS cutoff (v259), no new number.
Dependencies: v259; v304; v370; v380; v253; v369
Scripts: v386_grav_amplitude.py
Location: tfpt_4_frontier
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