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The	
  Arrow	
  of	
  Time	
  
If	
  we	
  let	
  a	
  glass	
  bo3le	
  go	
  down	
  to	
  the	
  
ground...	
  
•  Can	
  this	
  process	
  go	
  backwards?	
  	
  
•  How	
  do	
  we	
  know	
  that	
  >me	
  is	
  going	
  in	
  one	
  
direc>on?	
  
•  Which	
  one	
  is	
  that	
  direc>on?	
  
•  There	
  are	
  processes	
  in	
  Nature	
  where	
  there	
  is	
  
no	
  possibility	
  of	
  going	
  backwards.	
  
•  This	
  happens	
  in	
  most	
  of	
  the	
  biological	
  
processes	
  (	
  for	
  instance	
  the	
  aging	
  of	
  living	
  
organisms)	
  and	
  in	
  everyday	
  phenomena	
  that	
  
have	
  to	
  be	
  considered	
  as	
  intrinsically	
  
irreversible.	
  
•  Irreversibility	
  is	
  one	
  of	
  the	
  most	
  strange	
  
concepts	
  in	
  physics	
  and	
  is	
  related	
  to	
  a	
  physic	
  
magnitude	
  called	
  entropy.	
  
•  Entropy	
  can	
  be	
  considered	
  as	
  a	
  measurement	
  
of	
  the	
  disorder	
  of	
  a	
  system.	
  
•  When	
  we	
  study	
  the	
  different	
  processes	
  that	
  
happens	
  spontaneously	
  in	
  Nature	
  we	
  observe	
  
that	
  normally	
  the	
  disorder	
  has	
  increased	
  in	
  
the	
  systems	
  involved:	
  	
  water	
  that	
  evaporates	
  
when	
  heated,	
  a	
  piece	
  of	
  coal	
  that	
  burns	
  with	
  
fire,	
  an	
  old	
  building	
  that	
  falls	
  down,...in	
  all	
  
these	
  cases	
  there	
  is	
  a	
  tendency	
  towards	
  
disorder	
  and	
  entropy	
  grows.	
  
•  When	
  the	
  bo3le	
  breaks	
  into	
  many	
  pieces	
  the	
  
disorder	
  has	
  grown,	
  as	
  well	
  as	
  the	
  entropy.	
  
•  There’s	
  no	
  possibility	
  for	
  these	
  pieces	
  of	
  glass	
  
to	
  go	
  back	
  and	
  reassamble	
  in	
  order	
  to	
  make	
  
the	
  bo3le	
  again,...at	
  least	
  in	
  the	
  world	
  we	
  
know	
  this	
  doesn’t	
  happen.	
  
•  The	
  Second	
  Law	
  of	
  Thermodynamics	
  in	
  
physics	
  says	
  that	
  the	
  entropy	
  of	
  the	
  Universe,	
  
considered	
  as	
  an	
  isolated	
  system,	
  is	
  
increasing.	
  
•  The	
  irreversible	
  processes	
  are	
  manifesta>ons	
  
of	
  the	
  Second	
  Law	
  of	
  Thermodynamics.	
  
•  Videos	
  	
  
•  We	
   recognise	
   phenomena	
   that	
   can’t	
   be	
  
undone.	
  These	
  processes	
  are	
  irreversible	
  and	
  
they	
  only	
  have	
  one	
  direc>on,	
  the	
  direc=on	
  of	
  
increasing	
  entropy.	
  
•  Entropy	
   requires	
   a	
   direc>on	
   for	
   >me	
   and	
  
allow	
   us	
   to	
   dis=nguish	
   between	
   past	
   and	
  
future:	
   this	
   direc>on	
   is	
   called	
   the	
   arrow	
   of	
  
=me	
  
•  What	
  if	
  the	
  videos	
  are	
  played	
  on	
  reverse?	
  
	
  
•  There	
  is	
  no	
  symmetry	
  of	
  =me	
  for	
  these	
  
irreversible	
  processes	
  	
  à	
  when	
  the	
  videos	
  are	
  
played	
  in	
  reverse	
  mode	
  our	
  intui>on	
  of	
  what	
  
entropy	
  means	
  warns	
  us	
  that	
  something	
  is	
  
wrong.	
  
The Moving Finger writes; and having writ,!
moves on: nor all thy piety nor wit!
shall lure it back to cancel half a line,!
nor all thy tears wash out a word of it.!
Rubaiyat of Omar Khayyam
Persian astronomer, mathematician
and poet from XI Century
	
  

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The arrow of time

  • 1. The  Arrow  of  Time  
  • 2. If  we  let  a  glass  bo3le  go  down  to  the   ground...  
  • 3. •  Can  this  process  go  backwards?     •  How  do  we  know  that  >me  is  going  in  one   direc>on?   •  Which  one  is  that  direc>on?  
  • 4. •  There  are  processes  in  Nature  where  there  is   no  possibility  of  going  backwards.   •  This  happens  in  most  of  the  biological   processes  (  for  instance  the  aging  of  living   organisms)  and  in  everyday  phenomena  that   have  to  be  considered  as  intrinsically   irreversible.  
  • 5. •  Irreversibility  is  one  of  the  most  strange   concepts  in  physics  and  is  related  to  a  physic   magnitude  called  entropy.   •  Entropy  can  be  considered  as  a  measurement   of  the  disorder  of  a  system.  
  • 6. •  When  we  study  the  different  processes  that   happens  spontaneously  in  Nature  we  observe   that  normally  the  disorder  has  increased  in   the  systems  involved:    water  that  evaporates   when  heated,  a  piece  of  coal  that  burns  with   fire,  an  old  building  that  falls  down,...in  all   these  cases  there  is  a  tendency  towards   disorder  and  entropy  grows.  
  • 7. •  When  the  bo3le  breaks  into  many  pieces  the   disorder  has  grown,  as  well  as  the  entropy.   •  There’s  no  possibility  for  these  pieces  of  glass   to  go  back  and  reassamble  in  order  to  make   the  bo3le  again,...at  least  in  the  world  we   know  this  doesn’t  happen.  
  • 8. •  The  Second  Law  of  Thermodynamics  in   physics  says  that  the  entropy  of  the  Universe,   considered  as  an  isolated  system,  is   increasing.   •  The  irreversible  processes  are  manifesta>ons   of  the  Second  Law  of  Thermodynamics.  
  • 10. •  We   recognise   phenomena   that   can’t   be   undone.  These  processes  are  irreversible  and   they  only  have  one  direc>on,  the  direc=on  of   increasing  entropy.   •  Entropy   requires   a   direc>on   for   >me   and   allow   us   to   dis=nguish   between   past   and   future:   this   direc>on   is   called   the   arrow   of   =me  
  • 11. •  What  if  the  videos  are  played  on  reverse?    
  • 12. •  There  is  no  symmetry  of  =me  for  these   irreversible  processes    à  when  the  videos  are   played  in  reverse  mode  our  intui>on  of  what   entropy  means  warns  us  that  something  is   wrong.  
  • 13. The Moving Finger writes; and having writ,! moves on: nor all thy piety nor wit! shall lure it back to cancel half a line,! nor all thy tears wash out a word of it.! Rubaiyat of Omar Khayyam Persian astronomer, mathematician and poet from XI Century