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Excellent argument, or see it this way: the loudspeaker radiates a different signal into each direction, not only is the transfer function (frequency response) different, which would be possible to simulate, but also the frequency shift. So the reflections from walls/ objects close to the source have another pitch then the direct signal and all this continously changing with the angular movement. We are not even able to electronically create the sound of a Hammond-Organ or a tube-amp, let alone this complex Leslie stuff. In the 70s I've been working with Rock-groups and in a recording studio and we tried in a couple of ways to eliminate the bulky Leslies, but to no avail. Ciao Ban Apricale, IT
Just because you didn't manage to do it doesn't necessarily mean it can't be done. Also, whilst most common transfer functions are LTI, I believe the term is still applicable in UK English to one that isn't. As for movement of the air in the box, it's an awful lot slower than the speed of sound, and as for the horn 'getting in the way' it's rather small in terms of the wavelength.
OK, I admit my posting was a little provocative but there are some bright people working on this: see
I've found it possible to get close to the Leslie sound using Synthmaker
Cheers, Ciao, make of this what you will!
Chris