How to have a multi process architecture for my Flex AIR based application?

You aren't going to have any luck trying this with AIR. Perhaps with the Flash Player, as you could use the HTML page as a surrounding container, but you have no options with AIR for this.

Unfortunately the flash runtime is single threaded. However, you can simulate threads by a judicious use of events. You can gain a perceived performance increase by letting the flash player handle when to execute your code by breaking up large blocks of code into smaller bite-sized methods that get called by events.

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