Where is it?

[Skyblade]

If there is a JME there,Square would show it and hint at it.

Up to now I only find the higher version of JME on the future (not Ulti´s time) and the lower version on Galbadia.

Why would they? JME is, and has always been, of negligible importance. It is a tool, nothing more. Ultimecia is the important thing. She is the driving force. Even had JME never been constructed, she wouldn't have been stopped. Such evil, with such a strong will, is not so easily denied. Ultimecia was the important thing, so she was what was shown. Hell, even if JME was so important, why show it when they reach the future? Ulti had already started Time Compression. Destroying the machine was unlikely to stop it, since Ulti was still around using her magic to continue the process.

[boys from the dwarf]

it makes enough sense for balamd garden to be ultimecias castle what with all ultimecias hate for the SeeDs but theres no real solid proof so lets drop it. i think sky's explained it nicely unless people have other ideas.

[Future Esthar]

Why would they? JME is, and has always been, of negligible importance. It is a tool, nothing more. Ultimecia is the important thing. She is the driving force. Even had JME never been constructed, she wouldn't have been stopped. Such evil, with such a strong will, is not so easily denied. Ultimecia was the important thing, so she was what was shown. Hell, even if JME was so important, why show it when they reach the future? Ulti had already started Time Compression. Destroying the machine was unlikely to stop it, since Ulti was still around using her magic to continue the process.

ULTIMATE RULE OF AN RPG:Every information given on a game should be backed up by an event on the same game.

[Pharoh Amon Khan III]

In the third CD of the game, we know that Ultimecia is using a machine, created by Odine, to possess the sorceresses in the past. But when we are in her castle, i don't remember of seeing this machine in any place.
So, where is it?

I have questioned this till I was chased by angry fan-boys and FFVIII Anti-Therorist mobs when I posted this...

I don't believe there is a machine, but if there is, the closest I've seen to it is the GF: Eden, The Time Machine...