The way I've been playing it is tuning down a 1/2 step and playing MBV-esque chords with 
the D and G strings droning. Not sure exactly about the chord names but here goes:

Csus2 - x3001x
Dsus4 - x5003x
Fsus2add6 - x8006x
E7 (no 5th)- x7005x

It pretty much repeats this pattern through the whole song:

C - D x 2
F - E x 2

Lyrics:
I may have been gazing out too late at night
I see a deeper window into my eyes
Every day they screech outside my window,
The crashing cars never seem to collide

Sometimes when I'm staring out my window
To catch the stars, I watch as they go by
I've been getting messages from outer space
They expire light in the window in the sky
There goes my mind

If we dare walk onto my window
I could hear them if I open my eyes

Sometimes flashing lights seem soulful in the window
You may have seen them circle me at night
I keep sending signals into outer space
They expire by your window in the sky
There goes my mind

Every day when restlessness takes over me
I can't see it as I'm closing my eyes
I keep sending signals into outer space
They expire light in the window in the sky

Sometimes when I'm staring out my window
To catch the stars, I watch as they go by
I've been getting messages from outer space
They expire light in the window in the sky

By your window in the sky