The Producer's comments are here.

From the conclusion:
Quote Originally Posted by Naoki_Yoshida
In Conclusion

The development and operations teams are working diligently to combat the login issues which many of our users are currently facing, and ask for your continued patience and understanding over the next several days as we move to solve these problems.

To thank all of you for bearing with us for so long, we will be looking into different ways to reward our loyal fans and customers, such as an extension of the free trial period. Details on the plans we have in the works will be announced shortly.

In conclusion, I would like to say that we have been overwhelmed with the positive response for A realm Reborn, which is why it doubly pains us to implement any sort of measure that may restrict people from joining us in Eorzea. We sincerely apologize for the unwanted stress these restrictions have caused, and thank you immensely for the understanding you have shown over the past week. The fixes are almost in place and we look forward to seeing all of you very, very soon.

Thank you.
Emphasis added.