The OP/Opening to the PS3, PSVita, and PS4 version of Steins;Gate Zero, translated by myself.
The translation may not be 100% accurate due to the lyrics being transcribed by ear, we'll see how close I was when the official lyrics are revealed in November. I think I got it close enough though.
The song is "Amadeus", by Itou Kanako.
Thanks to TehVict for help with the video.
明日の天気を 知らぬままがいいと 傘を持たず
Tomorrow's weather is better off not known, there's no need for umbrellas
涙の雨なら 優しすぎる嘘に 書き換えた
A rain of tears already rewrote it into a lie too gentle
The pieces of the sky, locked in the box
Cannot fit into the shape of this future's puzzle
Infinite inferences discharge that noise
Following logic that deceives even God, I'll surely arrive at that promised place...
We will open the Gate of Zero, yet-unseen at the edge of the universe
All will be reduced to particles, beginning anew
I'll prove that I can hold together this wavering consciousness
In that time and at that place
Your time will come once again
Now, let us begin