Supplementary data: Immirzi-parameter sweep of the EPRL doublet-splitting tail (gamma = 0.5-5, 2j <= 24)
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High-spin Lorentzian EPRL four-simplex vertex tensors (sl2cfoam-next, commit 052e4346) at Immirzi gamma in {0.5, 1.2, 2.0, 5.0}, homogeneous boundary spins at even gates 2j = 8-24, booster shells Dl = 0-4, with the pinned analysis testing Prediction 1 of the companion paper (gamma-independence of the doublet-splitting tail exponent). Result: at fixed gates the fitted exponent is gamma-dependent (the printed prediction fails as operationalized); a pre-committed discriminator supports a common asymptotic exponent consistent with 7/2 with a gamma-dependent crossover scale (the gamma = 1.2 local exponent converges at 3.51; shared-exponent model preferred at dAIC = -27.8). See the paper's v3 Note added and GAMMA_TAIL_INDEPENDENCE.md inside the record.



