Convergence is the idea that smaller (MOA) groups are achieved at some longer distance than at a shorter one and this occurs with every rifle/ammo, with or without a tuner. In other words, with each rifle and ammo, groups will be smaller (MOA) at a certain further distance than any closer one. This flies in the face of the widely understood experience that with .22LR groups get progressively larger (MOA) with distance.
For the record, in this thread the supporters of convergence include Shorty, while Leuchtkafer (the previously banned poster RabidM4U5), and Williwaw give it their tacit approval. Of course, the fact that they agree on .22LR convergence doesn't in itself make the idea correct. Unfortunately, Shorty's claims of statistical adequacy are unsupportable and his assertions that he understands physics seem meritless.
It's worth noting that Bryan Litz says if convergence occurs it doesn't happen on purpose or predictably. He has conducted extensive testing and analyzed the results. He devotes an entire chapter to studying the idea in
Modern Advancements in Long Range Shooting, Volume II and concludes
"The observed cases of convergence were random, and within the noise of the experimental data. No combination of rifle and bullet was found to produce repeatable convergence."
Shorty insists Litz is wrong. He says that, as with Litz's flawed .22LR tuner work, his findings on convergence remain completely mistaken. Shorty offers his own limited testing results as proof that Litzs conclusions about convergence are groundless.
Who should be believed? Bryan Litz or Shorty?
Is there any reliable published testing evidence to support the idea of convergence? Not isolated, anecdotal reports of it happening, but serious, reliable data. If anyone knows of such information, it would be most welcome if they can offer direction to it. Perhaps Leuchtkafer (Rabid) or Williwaw can offer information to support the convergence notion to which they have unwisely attached themselves. C'mon guys. Help Shorty out. Otherwise, he is on his own, like an old man shouting at clouds.
It's not productive to continue to continue the arguments over whether convergence occurs with .22LR. If other readers want to comment on whether smaller (MOA) groups are a regular thing it's best left to them.