Without this Amplifier, Yuri will no longer be able to steal the Weather Controller and use it against the Paradox Engine. The counterattack in the Americas will soon begin. We have also located a formidable Epsilon base near the Engine's current location. - Battlefield report
The countdown before the Psychic Amplifier activates differ from each difficulty. On Easy, it starts in 1:30:00, on Normal, 1:15:00, and on Mental, 1:00:00. Do note that the countdown is based from in-game, not real-time.