The song uses Dropped D tuning (surprise, surprise)
Played with distortion, but not an overwhelming amount.

*Intro ("breathing" for a while, then...)

E------------------------
B------------------------
G------------------------  Played 8 times (drums & bass enter 5th time)
D------------------------
A------------------------
D--2p0h2h5p2p0-2p0-2-----

*Verse (just bass & drums)
8 bars

"Some say the end is near.."

*Pre-chorus

E-----------------------------------------------------------------
B-----------------------------------------------------------------
G-----------------------------------------------------------------
D-----------------------------------------------------------------
A-----------------------------------------------------------------
D--2-2-0h2-2-2-----2-2-0h2-2-2-----5-5-0h5-5-5----5-5-0h5-5-5-----

  "Bull      -      ***           three           ring

E---------------------------------------------------------------------
B---------------------------------------------------------------------
G---------------------------------------------------------------------
D------2-------------------------------5---------------------5-5-5-0--
A------2---------------2---------------5-5-------------5-5-5-5-5-5-0--
D--2-2---0-2-2-----2-2---2-2-2-----5-5-----5-5---5-5-5-5-5-5-5-5-5-0--
                                                                 ^ ^
   cir     -       cus             side      -      show         of...

*Chorus

E--------------------------------------------------------------
B--------------------------------------------------------------
G--------------------------------------------------------------
D--2-------2-------2-------5-0--2-------2-------2-------3-0----
A--2-------2-------2-------5-0--2-------2-------2-------3-0----
D--2-x-x-x-2-x-x-x-2-x-x-x-5-0--2-x-x-x-2-x-x-x-2-x-x-x-3-0----
     PM--]   PM--]   PM--] ^      PMetc.                ^

   Freaks Here in this..."                          "...all away"

E-----------------------------------------------------------------
B-----------------------------------------------------------------
G-----------------------------------------------------------------
D--2-------2-------2-------5-0--2-------2-------2--------/10-/12--
A--2-------2-------2-------5-0--2-------2-------2--------/10-/12--
D--2-x-x-x-2-x-x-x-2-x-x-x-5-0--2-x-x-x-2-x-x-x-2-x-x-x--/10-/12--
                           ^
   "Any ***in' time..."

*Interlude

|----------------------------------------------------------
|----------------------------------------------------------
|----------------------------------------------------------
|-----2-----------(2)/(5)\(0)/(2)---------(2)/(5)\(0)----
|-----2-----------(2)/(5)\(0)/(2)---------(2)/(5)\(0)----
|-----2-----------(2)/(5)\(0)/(2)---------(2)/(5)\(0)----
                 slide w/o picking
  ^
 *Gradually* fade in w/volume knob (the easiest way to do this is to catch
the knob with the 3rd or 4th finger on your picking hand after you hit the
last chord on the chorus, quickly turn it all the way down, then pick this
chord and turn it up slowly.  It's not exactly like the album, but then
again, most of this probably isn't.  If you're rich enough to have a
volume pedal (like Adam probably uses for this part,)  more power to ya.)

*Verse II

|----------------------------------------------------
|----------------------------------------------------
|----------------------------------------------------  Play twice
|----------------------------------------------------
|----------------------------------------------------
|--2-2-2--2-2--2-2-2--2-2--5-5-5--5-5--5-5-5--5-5----
   PM throughout

*Pre-chorus   \
                these two are the same as the first time, as near as I can
*Chorus       /       tell.

*Interlude II

|------------------------------------------------
|------------------------------------------------
|------------------------------------------------  Play twice
|--0--0--/10-10-10-/12--2--2--/10-10-10-/12------
|--0--0--/10-10-10-/12--2--2--/10-10-10-/12------
|--0--0--/10-10-10-/12--2--2--/10-10-10-/12------

|-----------------------------------------------------------------------
|------------------------------/13-13-13-/15---15-15\13-13-13/15--------
|------------------------------/12-12-12-/14---14-14\12-12-12/14--------
|--0--0-0-/10-10-10-/12--2--2--/10-10-10-/12---12-12\10-10-10/12---2----
|--0--0-0-/10-10-10-/12--2--2--------------------------------------2----
|--0--0-0-/10-10-10-/12--2--2--------------------------------------2----

(bass, drums & breathing for a while)

 clean w/chorus
|------------------------------------------------------------------
|------------------------------------------------------------------
|------------------------------------------------------------------
|--9------------------------7------------------10------------9\----
|--------------------------------------------------------------\---
|-------------------------------------------------------------- \--
                                                          dive w/bar
  "Some say a comet will..."

|----------------------------------------------------------
|----------------------------------------------------------
|----------------------------------------------------------
|--9-------------7----------------5---------4\-------------
|-----------------------------------------------5----------
|----------------------------------------------------------

   "Followed by faultlines..."

 distorted
|-------------------------------------------
|-------------------------------------------
|-------------------------------------------
|--2----------------------------------------
|--2----------------------------------------
|--2----------------------------------------
  (softly, let ring)         feedback

  "Some say the end is near..."

|--------------------------------------------
|--------------------------------------------
|--------------------------------------------
|--(2)/(5)-----------------------------------
|--(2)/(5)-----------------------------------
|--(2)/(5)-----------------------------------
  slow slide                       feedback

       "Certainly hope we will..."

|-----------------------------------------------------------------
|-----------------------------------------------------------------
|-----------------------------------------------------------------
|--(5)\(2)--2-------------------------------(2)/(5)---------------
|--(5)\(2)--2-------------------------------(2)/(5)---------------
|--(5)\(2)--2-------------------------------(2)/(5)---------------
          (softly)        feedback
           "...stupid ***..."                  "One great big..."

|--------------------------------------------------------------
|--------------------------------------------------------------
|--------------------------------------------------------------
|-(5)\(2)------------------------------------2-----------------
|-(5)\(2)------------------------------------2-----------------
|-(5)\(2)------------------------------------2-----------------
                          feedback           ^
  "...keep you all occupied..."       (hit chord before 3rd "learn to
                                        swim")

|--------------------------------------------------
|--------------------------------------------------
|--------------------------------------------------
|--2/5---------------------------------------------
|--2/5---------------------------------------------
|--2/5---------------------------------------------

   "'Cause mom's gonna fix it all soon..."

|--------------------------------------------
|--------------------------------------------
|--------------------------------------------
|--------------------------------------------  Into Solo
|-----------------------------------3/5------
|--------------------------------------------

             "...back the way it oughta be---"

*Solo

|---------------|----------------------------------------------
|---------------|----------------------------------------------
|----------9\---|--/12---12-12--14-14-12------12------14\------
|--7/9-7/9------|-------------------------/9------12-----------
|---------------|----------------------------------------------
|---------------|----------------------------------------------
 ^*repeat four times*

|---------------|------------------------------------------------
|---------------|------------------------------------------------
|-----------9\--|--/9--9--------12\-14\---/7----12----12\--12\---
|--7/9-7/9------|---------9--9-----------------------------------
|---------------|------------------------------------------------
|---------------|------------------------------------------------
 ^*repeat four times*

|-----------------------------------
|--------/15-15-15-15-15------------
|--12\---/14-14-14-14-14------------
|--------/12-12-12-12-12------------
|-----------------------------------
|-----------------------------------

*The "*** Everything" part

|----------------------------
|----------------------------
|----------------------------  Play twice
|--2-2-2-2-2-2-2-2-2-2-2-2---
|--2-2-2-2-2-2-2-2-2-2-2-2---
|--2-2-2-2-2-2-2-2-2-2-2-2---
  PM---------------------]

 "learn to swim, learn to swim, learn to swim..."

|-------------------------------------------
|-------------------------------------------
|-----------------nh-nh---------------  Repeat from last *
|--/5.--------------------------------------  (w/out harmonics)
|--/5.--------------------------------------
|--/5.--------------------------------------
     ^mute strings w/picking hand (nh=natural harmonic)
   "*** (whatever)..." (play entire section twice, these lyrics change
    2nd time)

(3rd time)
|----------------------------------------------------------
|---8--8-8--8-8--8--8--8-8/20-20-20-20-\8-8/20-20-20-20----
|---7--7-7--7-7--7--7--7-7/19-19-19-19-\7-7/19-19-19-19----  Play twice
|---5--5-5--5-5--5--5--5-5/17-17-17-17-\5-5/17-17-17-17----
|----------------------------------------------------------
|----------------------------------------------------------

   "*** smiley glad-hands with hidden agendas..."

|---------------------------
|-------/17-17-17-17-17\----
|-------/16-16-16-16-16\----  Play 4 times
|--2--2-/14-14-14-14-14\----
|--2--2---------------------
|--2--2---------------------

clean w/chorus
|----------------------|-----------------------------------------------
|--$8------------------|------8----------------------------------------
|--$7------------------|--------7-------------------------------7------
|--$5------------------|----------5-----------------------------5------
|--$5------------------|----------------------------------------5------
|--$5------------------|-----------------------------------------------
                        ^*play this section twice*
 "...prayin' for rain..."     "I wanna see the ground give way..."

distorted again
|--------------------------------------------------------------
|--------------------------------------------------------------
|-------------------------------------------------------------- Play twice
|--5/9---------7-7-7--7-7/10-10-10-10--10-10\9-9/10-10---------
|--------------------------------------------------------------
|--------------------------------------------------------------
      let ring
  "Mom please flush it all away..."

*Outro

|------------------------------------------------------------
|----------------------/12-12-12--------/12-12-12------------
|----------------------/11-11-11--------/11-11-11------------ Play 3 times
|--2-2--0-0--5-5--0-0--/9--9--9---------/9--9--9-------------
|--2-2--0-0--5-5--0-0--/9--9--9---------/9--9--9-------------
|--2-2--0-0--5-5--0-0--/9--9--9-(0)-(0)-/9--9--9-(0)-(0)-----

                      "Don't just call me pessimist..."

|---------------------------------------------------------
|--5-5\3-3/8-8\3-3--/12-12-12--------/12-12-12------------
|--4-4\2-2/7-7\2-2--/11-11-11--------/11-11-11------------
|--2-2\0-0/5-5\0-0--/9--9--9---------/9--9--9-------------
|--2-2\0-0/5-5\0-0--/9--9--9---------/9--9--9-------------
|--2-2\0-0/5-5\0-0--/9--9--9-(0)-(0)-/9--9--9-(0)-(0)-----


                             (in time w/"breathing")
|---------------------------|--------------
|--/12-12-12----/12-12-12^--|--------------
|--/11-11-11----/11-11-11^--|--4^-4^-4^---- Repeat this a bunch of times
|--/9--9--9-----/9--9--9----|--2^-2^-2^---- and hold the last chord for a
|--/9--9--9-----/9--9--9----|-------------- few seconds, then you're done.
|--/9--9--9-----/9--9--9----|--------------
                             slight bends

               (2nd guitar, underneath bends, in different rhythm)
                            |--------------
                            |--------------
                            |--------------
                            |-x-x-x--x-x-x-
                            |-x-x-x--x-x-x-
                            |-x-x-x--x-x-x-