alpha_c = 0.531 +/- 0.041 across 818 GPU results on 20 hosts at N=8192. Confirms slight decrease in alpha_c at larger N but still well above 1/pi ~ 0.318. Cohens d ~ 5.2.
CONFIRMED. GPU results at N=8192 confirm the CPU finding: alpha_c ~ 0.53, still 1.67x above the theoretical 1/pi prediction. The slight decrease from CPUs 0.55 to GPUs 0.53 at larger N suggests slow convergence toward a limiting value, but at N=8192 the transition is definitively not at 1/pi. Cohens d ~ 5.2 indicates an overwhelming effect size.
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