I tried to bust this myth of twice the flow at half the pressure before, but it was another thread.
In general it is impossible to flow more air at an equivalent or lower pressure, unless you increase the volume of the system, like by increasing RPM, or larger engine, etc....
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Buddy,
Not a myth, possibly a difference of how we view the same data let's focus on the etc.
Since you didn't like my air compressor analogy before lets look at it slightly differently.
Removing all other dynamics (2) pails 1 gallon and 2 gallon, going into (2) receivers both at atmospheric pressure dumped at exact time, which one has more fluid in it>
The 2nd receiver has 1 gallon more in it, both at same pressure when admitted, same goes with the ATT bigger/more efficient wheel is the bigger pail putting in more fluid.
Say for simplicity the GM-X turbo is a 1.5 gallon pail, and the ATT is a 2 gallon pail with each rotation, at each turn there is still a .5 gallon delivery improvement with the ATT at same conditions.
Now I know you have issue with the claim of 2x delivery at same speed, that I can agree with you is a subjective statement and probably incorrect, to know with certainty what the real dynamic flow delta is we need some device for measuring air flow.
If it's only 1.5x, I'll take that as it is still an .5x or even if just .25x improvement and engine isn't struggling as hard to get it, it's all good.
What I can say there is more reserve boost available with the ATT past 1500rpm it happens more quickly with the ATT, than with my GM-X when cruising @ 70 mph my ATT does it with 1.5-2psi vs 2-4 psi required from the GM turbo.
IMO that would lend one to be able to say the ATT does more with less, that is gauge data driven, so it has to have some value as a good data point, is saying 2x more correct probably not, but by boost gauge it could appear that way and lead to discussions right or wrong it is 2x delivery, bottom line there is more delivery with the ATT at whatever final volumetric amount delta exists.
The rest of the stuff you cite is important to speed/efficiency at which the pails fill under restrictions imposed by dynamics of engine operations, if not the case why would we even need different sized turbos for different operating envelopes.