Why did the Sonar Experts Fail to Solve the Problem?
How, you ask me, can a lone mathematician/inventor/computerist in Baton Rouge have solved the Dolphin Sonar Problem when MIT and the navies of the world have not?! Seems unlikely.
Perhaps the problem was, in fact, solved earlier and has been a military secret. If this is so then readily avaiable information on the "echolocation" of dolphins might be distorted by omission and by misdirection from people working for government.
But, not every capable researcher in the world is bound by military secrecy.
So, perhaps I have not solved the problem and my more than 15 years of simulations are illusions. That, objectively, is a possibility. Indeed, that would, were I on the outside looking in, be my main guess.
Here is an outline of the "solution to the dolphin-sonar problem:"
Suppose that simple, partial theory is correct and is at least a first stage of the problem. That creates the puzzle -- did teams of experts fail to anticipate the anatomy that now seems an obvious possibility?
I suspect that, until recently, many experts all assumed that dolphins have only two ears -- or, in words that give clarity to the mistake, only two acoustic sensors. That the size, in dolphins, of the two auditory nerves, that lead from the frequency-analyzing cochlea into the brain, is larger than in humans suggests that frequencies in the hearing of dolphins are important to them. And surely they are important - for uses other than high-resolution sonic imaging.
Then, believing the frequency-analyzing cochlea to be involved, the powerful spectral tool of Fourier Analysis was used. And that could have been a hugely distracting consumer of mental energy.
By contrast, I use geometry that is 2300 years old (as augmented by Rene Descartes much more recently). And is easy, by comparison.
More "tricks" to making Echoscopy practical are not yet revealed pending patent-protection.
To be continued ...
You can ask me about these things or correct my errors via firstname.lastname@example.org