The email itself links to http://www.titanfall.com/standby-for-titanfall. Anybody can click this link and register for the Alpha, provided they have an Origin account.
After signing into your Origin account, you will receive a page similar to this:
MoreConsole.net claims that “contacted a representative from EA directly” and was told that “the alpha test would begin on Friday, January 17th with emails and codes all being sent out to the qualifying individuals then. He also confirmed that this test would be exclusive to Xbox One users.”
Be sure to headover to the website and register your interest for the Titanfall Alpha by clicking here. Spaces are limited!
Yesterday, Xbox revealed a Limited Edition Xbox One Titanfall Controller, releasing in time for the games launch in March 11th, 2014.