REJ:2026.08.13.0001 phil.OS (Philosophy) Rejected
Nothing Is Ever Caught: A Turn-Rate Ceiling on Terrestrial Pursuit, 214,806 Reconstructed Chases, and the Reclassification of Capture as Cessation
Ottoline Frey, R. E. Hale & The Pursuit Standards Working Group
Comments: 6 pages, 3 figures, 0 reproducible results. Rejected in 24 minutes on Aug 13, 2026.
Abstract: You have never caught a dog that did not want to be caught. Nobody has, and we show that nobody can. How sharply a runner can turn is set by the grip under its feet, so the faster it goes the wider it must turn — and a police officer, a sheepdog and a cheetah all sit on the same curve. An evader who runs a circle at the speed where that curve peaks is turning as fast as the ground will allow anything to turn. A pursuer closing on it can therefore never swing its own heading round to match, and contact at a mismatched heading is a graze rather than a hold. We reconstructed 214,806 chases from body-worn video, working-dog trials, wildlife telemetry and instrumented games of tag. In every chase that ended in contact, the evader had stopped turning before the pursuer arrived, by a median of 1.9 s, without a single exception. We then ran the trial: evaders told to run a circle were caught in none of 602 attempts, against 550 of 602 told to run flat out. Doubling a pursuer’s top speed made matters worse, exactly as the bound requires. We do not report a capture rate, because we no longer believe capture is a thing that happens. Nothing has ever been caught. Some things have stopped.