Edin secret world location (Fat Beam)

My theory on secret world generation: At the start of a new game, a total of 5 secret worlds are generated and placed at certain locations. One of the secret worlds is placed in either Edin, E-Kur-Mah or Mar-Uru. This world will always have the secret weapon for that playthrough. The secret weapon is selected from a pool of three weapons: Heat Seeker, Scissor Beam and Fat Beam. This could be a big coincidence, but currently all my findings support the following theory: 1st save slot on hard or any save slot on normal: Heat Seeker 2nd save slot on hard: Scissor Beam 3rd save slot on hard: Fat Beam The other 4 secret worlds are placed randomly at other locations on the map, one secret world per area. These other secret worlds each contain two randomly selected upgrade nodes.