Wow White Dove you sure know how to get into the meat of things quickly! I am sure not an expert in this field (which has never prevented me from spouting off huge posts before) but here goes....
OK - starting from If Atlantis is not causing the strange disappearances of the Bermuda Triangle, we have to find an alternate explanation. Science has been putting forth a few that might "fit" for certain losses, one being that masses of frozen methane on the ocean floor suddenly burst into bubbles of gas and escape to the surface, causing the sea to lose its bouyancy (making any ships in the path of the methane suddenly sink to the bottom in seconds) and any aircraft that might pass throught it to lose power to their engines from a lack of oxygen - and/or cause a detonation of the methane gas mixed with air from contact with any hot part of the aircraft engine.
I don't particularly agree that this theory will "fit" with many of the incidents, even though methane is widespread it is not everywhere in the region of the Bermuda triangle, and particularly the maps of methane deposits do not match up with maps showing the (approximate) locations of the missing planes and ships.
Then there is the "microburst" theory, in which tiny but powerful storms suddenly appear and sink ships or knock planes out of the sky in a matter of moments, only to blow themselves out and vanish. These have been documented in a few instances, so might "fit" for at least a few of the cases of vanishings. A big problem with it is that microbursts occur mostly in very warm weather, yet the incidents of disappearances seem to occur at any time of the year, with a fair number occuring in quite clear and calm weather. So we have another "maybe" that will fit for SOME cases.
Another idea might sound far-fetched but is based on sound science, and White Dove has already mentioned it - that the region happens to be a site where another dimension or "door" is located. Science has already granted that there are other dimensions of which we are unable to fathom (with current science) perhaps as many as six including one of "smallness" in which the entire Universe fits into a space no larger than a walnut. Time and space may be a single fabric, and the mass of the Earth (and the Sun and any other large planetary objects) do affect this fabric simply by spinning and moving through space, causing what they term "frame dragging" which in effect distorts space itself as well as time. In distorting it, this may cause "loops" or "wormholes" through which an object could conceivably slip accidently from sailing on the calm Caribbean sea into....? Some place in another dimension, which could be a time past or future, another planet or even another alternate universe. (Many scientists now believe that alternate universes can and do exist, occupying the same space as our own but being different.) To give an example of how this would work, the rotation of the Earth causes "frame dragging" of space-time, that drag happening in the Bermuda Triangle (along with the Great Lakes triangle and the Dragon's triangle off of Japan) so a person flying a small plane that crossed the event horizon of the frame-drag passes into the alternate universe. They would likely notice that things did not look quite right, rather like some of the transmissions of Flight 19 as they were on their way into the void.
There is even a bit of evidence that perhaps some of our lost travelers ended up traveling through TIME and found themselves in the past. (Like this stone Mortar and Pestle:
found in the California gold fields, and dating back 33 to 55 MILLION years! ) Remember Man is not supposed to have been around more than a million or two years. (from Forbidden Archaeology site:
http://www.mcremo.com/door5.htm
http://www.forbiddenarcheology.com/
http://www.byerly.org/whatifo.htm)
However there are still other possible explanations, one being that those disappearances are the result of abductions by aliens. As far-fetched as that idea sounds, no one has ever returned to tell us what happened so it is as good as any other explanation. This is pure supposition on my part, but if a more advanced civilization were exploring space and discovered Earth, surely they would feel justified in obtaining a few specimens of the plants and animals, especially the most advanced critter on the planet. This is objected to by some on the grounds that such a civilization would surely land on the White House lawn and open direct communications, but think about it a moment and that seems unlikely. Do we get in touch with the alpha male of a Chimpanzee tribe before grabbing one for testing or for our Zoos? Of course not, we consider ourselves much more advanced than any Chimp and the ape would have no chance of understanding our motives and actions, seeing it only as some strange beings taking away Chimps without asking, and that is likely how any advanced Alien space explorers would view us. The Bermuda Triangle is considered a "hotspot" for UFO sightings and the mysterious USOs, so perhaps this explanation is not quite so far-fetched as it appears at first glance.
Then there is the old standard skeptic answer to all such disappearances - it was just a case of a ship running aground or swamping in a storm, likewise with airplanes, they hit a downdraft or ran out of fuel etc in every case. Nothing mysterious at all, just poor sailors and pilots. Just my opinion but that flippant explanation only shows a person too lazy to actually investigate the facts involved.
On the other hand, if Edgar Cayce had it right, then Atlantis had some very dangerous machines that are still operating there, and it would be in our best interests to locate these machines and put them out of operation if possible. I do suspect that he got part of his prediction right - Bimini is a good candidate for the western part of Atlantis, along with Andros island nearby. There are geoglyphs in Andros that are (in my opinion) very likely left by Atlanteans.
Gosh sorry for that long-winded post amigos, I hope I didn't bore anyone to tears just yet! Good luck and good hunting to you all, I hope you find the treasures that you seek.
your friend,
Oroblanco