Grav loop finiteness
v389_grav_loop_finiteness.py · frontier
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GRAV.LOOP.FINITE.01: the entire-form-factor graviton is UV-finite at the LOOP level by power counting -- the honest next step past v386 (tree). Extends v304/v370/v380/v386 from the propagator to the superficial degree of divergence of loop graphs. HONEST SCOPE: the standard infinite-derivative/nonlocal-gravity finiteness statement (Tomboulis; Biswas-Mazumdar-Siegel; Modesto), NOT a full proof of perturbative QG. [E] super-polynomial falloff p^k e^{-p^2/M^2}->0 for every k. [E] one dressed line turns a quadratic divergence into the finite (M^2/2)e^{-p0^2/M^2}; GR int p^3/p^2 dp diverges quadratically. [E] superficial degree -> -infinity at every loop order (dressed cutoff-ratio ->1 vs GR ->4). [E] the regulator is the SEAM scale M=M_scal=c3^{7/2}Mbar (v253/v259), not a dial. [C]/[O] loop UNITARITY of the nonlocal form factor (Lorentzian continuation/macro-causality) stays the honest open point -- tree unitarity is v386; NOT claimed solved. No new number.
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