Great song. Chording it according to the song is a little weird, so I just made it 
by ear. Standard tuning

Dadd9
E|-2
B|-3
G|-0
D|-2
A|-0
E|-0

Dadd9          A           Dadd9       A
Fall into the century on a supersonic cross
Dadd9            A          D
Blessed she in aching silence- eternal loss
Dadd9                  A         Dadd9            A
Calling out "I won't surrender." A locket of her hair
Dadd9                  A       D              Bm
Sympathize her pious pleasures. Go down the stairs 

Bm      F#m   Em       
into the dark again
D       F#m   Em         G
To feel alive again, and wait for
Dsus9  D 
Real   love
F#m      Em
Or is it me you're after
Is it time?
Because it's now or never
Real love
Real love forever
Real love

Born of the fallen chain
Into a world sustained with sorrow
Real love
A real touch we speak in
Is it lies.
Or is what we're seeking
Real love

Dadd9          A                      Dadd9       A
In the eyes. Behold and you'll find the 21st century
Dadd9          A         D
Detonate her will and her widowed speech
Dadd9          A              Dadd9             A
Buried in the backyard shadow: The rusty coffee tin
    Dadd9                A            D          Bm
That held her mother's first kiss in a nameless dream

Bm            F#m   Em       
Fall down the stairs again
D        F#m   Em          G
To feel alive again, it's tommorow
Dsus D
Real love
F#m      Em
Or is it me you're after
Is it time
Cause it's now or never
Real love
Real love forever
Is it love
Or just yours to treasure
Real love
Real love
Real love

Em       
We never listen
D     F#m
Real love will listen

And tell of a fortune
Real love is riches

Scratch through the changes
Real love is nameless

So tired and hopeless
Real love is painless

Nobody mentions
We ever move to collect

The solar questions
Demon scorn should not relax
Em           F#m       D Em D Em D Em
The laws of gravity
D
Real Love