Someone from NeoGAF got the magazine, PSM3 and there was a feature on F.E.A.R 3 and they decided to summarize the article bits... 
 
 

Alma's pregnancy has opened a rift in space and time. Her contractions are causing shockwaves that are fucking up reality like Half Life 2's portal storms. As her labour progresses the contractions will come stronger and more frequently. Point Man is back from the chopper crash in FEAR 1 and has had time to grow out his crewcut into a homeless-man style beard. Paxton Fettel is still psychically possessing Foxtrot 813's body from FEAR 2 Reborn. 

Singleplayer is Point Man only, co-op is Point Man and Fettel. Has a "Generative Scare" system where the Ring/Ju-On style moments are now randomly generated. Fettel can not use weapons but he can stun enemies, suspend them and possess them and can then use their weapons through them. He can also see alternate routes and hidden stashes but the player doesn't have to tell Point Man about them, although the previewers have no idea why you would withold that info. The mechs are still in the game and both brothers get to use them.

Screens looked identical to FEAR 2.    

Someone from NeoGAF got the magazine, PSM3 and there was a feature on F.E.A.R 3 and they decided to summarize the article bits... 
 
 

Alma's pregnancy has opened a rift in space and time. Her contractions are causing shockwaves that are fucking up reality like Half Life 2's portal storms. As her labour progresses the contractions will come stronger and more frequently. Point Man is back from the chopper crash in FEAR 1 and has had time to grow out his crewcut into a homeless-man style beard. Paxton Fettel is still psychically possessing Foxtrot 813's body from FEAR 2 Reborn. 

Singleplayer is Point Man only, co-op is Point Man and Fettel. Has a "Generative Scare" system where the Ring/Ju-On style moments are now randomly generated. Fettel can not use weapons but he can stun enemies, suspend them and possess them and can then use their weapons through them. He can also see alternate routes and hidden stashes but the player doesn't have to tell Point Man about them, although the previewers have no idea why you would withold that info. The mechs are still in the game and both brothers get to use them.

Screens looked identical to FEAR 2.    

I'm pretty sure the first game was bad fan fiction gone wrong, but hell...its a fun game and storywise it's a step up from Bayonetta. 

The ending of the second F.E.A.R game was pretty out there depending on who you ask
 

well, don't even try to close to her. as soon as you see her, try to stay away from her. if you don't, you will die instantly. I guarantee it 100%. 

Wow. I watched the video here on Giantbomb showing off the FEAR 3 game play; but that didn't even hint at this sort of bizarre foundations for the story. ξ