-
Hoking Stiven
CRNE RUPE I BEBE-VASELJENE
Prevod: ivkovi Zoran
Hawking Stephen BLACK HOLES AND BABY UNIVERSES, 1993.
-
PREDGOVOR.
1. DETINJSTVO
2. OKSFORD I KEMBRID .
3. MOJE ISKUSTVO SA ALS-om ..
4. ODNOS JAVNOSTI PREMA NAUCI .
5. KRATKA POVEST KRATKE POVESTI
6. MOJ STAV .
7. DA LI JE NA VIDIKU KRAJ TEORIJSKE FIZIKE? .....
8. AJNTAJNOV SAN .....
9. NASTANAK VASELJENE ...
10. KVANTNA MEHANIKA CRNIH RUPA
11. CRNE RUPE I BEBE-VASELJENE .
12. DA LI JE SVE PREDODREENO?
13. BUDUNOST VASELJENE .
14. PLOE ZA PUSTO OSTRVO: INTERVJU
4
6
11
14
17
19
22
25
34
41
47
53
58
63
69
-
4
!" " # $% & '& &'
" & !("& !!) #"" ) # % #
!" * #
"*&+
" " & ,& +-.""! / # # %& & / " & # * & #
(#" ' !" /#$"##" (
#&&!&&+"/&$#&"!&0 # " # + / &$1
# #! # &! ### &!3"## &4
$"#&$&*# $ 4 "& "& ##2/&!$1&"+$5&6 7
82 18" ! &,/&&!$& "&
-
5
29"&"4 & & (7::
-
6
2#&"; "-") #&?6/! " " %" )! 7 +' # # !##2!!*#/!""/#
& &!"#" !# &!" &4:%&"#!(! @"
-
7
B ">5"8,85 " ! (" "#+"97"7" # ! ! 5###")7",
2 5& " #4 & !#""#
# # ! " ! ) $&4!#4 " % 2" ! )2 &3&"&"
##*##$ # " # & ( B& %& @" 7 2# & %&" " ##!
#" " # ! & " " "?#&0 &"!#""5"%" !" / # & " # ? 2%
"#&!!/ #)
2 #""0#("
#"27"
#>) #
-
8
-." & E -F$ %""%!"&!#8 3 (#
%#* # #!"
("?"#!
&7"
" # (3(&7( " &" $"">"&)1")'#4"!" ) #(#&!" ,
#("!#(#772?& !"# " &!4& !9 "" # (&!/7"#!&"( ! #
! ##'!#"#0# # ! " & " "!" 1"& " &'""#0
!""("&%&" " 4 % ( " & #" , , &! '# &""!
4"9&!2!#!"#!)
-
9
858'""&!)&858"#?5&)EF,4#""&)H/"
-
10
!"# ! ( & &*"(2 & ' %" # 2 ! " 2 7 1 " &
0"!0"#& 1# "#
##G4!1# &
-
11
2! % 1"#"# 1"1" #!# 6"!"&!#5" # ?# " . ! #) #" # & "
& "&"4" # " #) " &"0'(& & 3!# 8&8,#&1 "
& ' &"" # * & # &"#/ ( " 6##*!6" #
3 " # " & && / & # ! "
#)! #!"&#!"%4"?#!(& ' " &?&!"&1&
&! & # "&! (# !"!1"",4##/"%C7" ' 7 2 % " #!"""7&
? ( & / " "7&" ("(!"&
-
12
)#"& # #" 0" " 1#%"4>(,"& " & " @ E1 ( 4& ? #
> + F> & & ' "%"""#0& #4# ? $" 4>(,0% &" "
# "5&/"2#"#"/ 6 &! &%&+%/?!"#%" # 2 )"""""#"!1 !
& 27) )%> ( " & '!
-
13
)" >9 ' #$' $ "" $&"#### ' #
"+! & &"!'&8!8"!8 82# & ! "
-
14
+!)#&")"-G68%4>(,H868/8'# # #
" " ? # & % & ! / ! "# &4#'&
&! / # & !,%"&/"""
& /" #%"& & ! # ! # ! # 1 # " " & & , "'"
& "
&&( ""#)&&*##" & ,#%##H3#&H0!"" /*#3% "
&/#"#
! # & > % # & ,# &'$" &!/##" #& &4 #
&2 & ' # " & /# 4!"/
# 1#" %&"" &4 A#" # ! " #'&
-
15
""&%"%(%#5# " & 5 " # " & 0&
"0 #%&"?# $>" 0# #!"##&3
"##'
!E+" " F% %4!""#%" !"#68#
%"""#8 # ' " " " ! !" # 0!"##!(!?# # " '#" " % & / #"!0
& " #
! 1 " " " # " ' #(#"#"#5 " !" & !?#!""##?= "
? " #!
"""&
,&1 # " -D&&0 -. 2
-
16
8@8"' & # & !' % #"1 & 8@8
?2"8;4;!8"&&!/&2 #" ,(!# &!&!1#& & (2
"&8(! '8G4"!
&"#!"&?*0$8?78,*#&/"/ & )& &!
""&!#
"! !5##&&0&
-
17
+ " A" -" & 8(8"!40?" "## / & 4"&"#B"#"##"!" &3
""
"1&"&"&3 / & G E##F"! A#" &
#"*&&"#&04 "# !1 #& "# " &! 1 " & & !
& # " ! "!# & # & C# 0 &! #4""# #%&A & # #
#" #" H*"#&&?!&!" A#" & 5 & & &
"#%"&!5&&,4#@K!2 #/&! &"# & 4 &
"&&"&/ & # 4 & ## # 1 # # & "
!#%&!"
-
18
& # & & ! * / !"&&"# & 1! & "% &
H/ " #
#" " &
3'#53"# "
4
!## # 1 # ( ( 4!"? & " # *##$#&" # > 5" '" & 4
&" /#&$ #
#$&" # G"#'8!8#
!! # !!
# # # *" "
-
19
! -- & 5% 0 /L M0 9)"&:"D.0 (I0E%#-="#+ F) *#%/ 0 /LM0"
0 (I0 !E1)(4&?F'E""&&&F&"-"##&$/&&
! # E1 """F4#
# $6 ""!$4 "
# 2 & &8;1I'
8("##( 4;"?% ' !" ? 4& ( ! #,?;-=& & 8/8"& &
#4 8))8"##58)8!& " # "'+ # ! ( "
& ).
1 # 8)8" 2 " / # ' # &"#"
" #" # ' " " +!'&")$$?)1&E
&F50
-
20
4!297&828"&8&8"8#!8"81#!8,(& # # * & $ )
$"&&,& 0& ## #"&/,#" / & ! /"& "& #
& 6 # & H/&"#&!&&&"&&&
"4#
/&&''$/" $ E # &F ? " &
"88?& # "&"#&!/",#% #"&" & /" !
#"##/8)8"#!#' ! " 0 &0 /" 4! )3&:"& ( 4& ?"
$)3#&H0#"#1""!( 6(7 >+E&F"&EF$!""
NEN"&&&&F'"#
6 8 & H8 7 $6?"7 " E&F # ' " 7
!")E1!&!")?&"F3!"&"&0 5" & & " % " 2 "
-
21
3#!/
"#3" / & & 4 &",% # $" ( 7 ""8)8 "!1"#!1""8)8
&/"8)8 &!" #0# "&9!&"" ( " # " &)A("&" # 9
& &" 0!!"
-
22
'% ) 1 " $6 "88> & " " & '"#"
4 & #
# " # & & " # "#&&2"2 #" """88' 8!86&!"#(#
88>!# 14#"7?# 1!" @!#"1"&&&5 4"#9 " 1 "
#5&1""&&4 "# !%&"" & # &'2,2"#--"" & #
/
& 9 " & / &! # 7 >! ? C!# 1 !"# ; 4"D."4# & #
&1"&4## !0&14#D. ! # & # &
-
23
"##
(>! C! & 5 ?"",,&2# #4 # " #H*
$& ("#"/&4#$*,# # , & & * " # # & 5 "
#" & & ,# " & # , & 8!8 2 # " & # & #$/
#
' #" # & ' 8A&82&1#$ E?
"& "A#F%" &4"&&/# 2&"""#/ ##&
" (# & ' ""1&"&9 & &1 & &% A &"
& 1 &"1"4 #&'& ( & &" #9 & &
$0#6$"5
-
24
&9#" " " 4"&"#" $'/"& $ '' 4# # &4# # & #"#
!(#&"?7$&* 68%& $H82 && # & 88
88#6#"&H1 & # $/""# ' & & # &" "&
$" & /
$ 4 "
-
25
!"#
? -D # >%""& B ! 6"!' " & " "#& &&"&!
""2# &!/" "#" &! !G " /"
%#?"&8! 82 "" #&
" " %
#"#"
%D:&!" & & 5 & & " # & # A H/#&65
&& &!&5 & &$2& & 3 " & $ &
/ &" & # & " ) &*&$ & & # &/#8#
8
-
26
' & & 6 " "
" # "1"& " " ' " "
(&"!&&""$ "##"#!) & # # &&"#
&&"&68(#8' &" & " & & & & $ 0 "
$" 683#$H8"""&"4& & # && & ""9 &
#5"&$/"("## # 2&&+4# " & $ # $ # #
&!&&4 & &" & $" & ""# E 9 # F &
& 9 ! & /
$688"&!#"" "88"!"G! ! '&&"#&!0#&&"#
& 2 &! 6 & """ 2 # & 2 "6" "" 9" 9"&""!"
2!"' & && &! % !" "#&&!
-
27
3 " 6/ ! " 2 """#/!"2!,/
& / ! 2 0 & 4# #.0#! 2&
&9&"&"&"&'"" # 1" ' #3 (!4&&"#"
-
28
" 4( ( $" ! & & & ' (,$ " " &!
" " "OP"O,3D'"& &! # & & ' "" #
"OP"O, 3D ' &"#A / ("$ A+#" & +# " " /" " " # # !
&!"""OP"O, 3D?! "&(,$G!O 3 ;@
-
29
" " &(" (,$ " " # & 4 #! "&D.+$E*+$0 ' " ! & F'"
"#@D.+$#9
# ! ! &! #
D+$"DD+$
(,$ " " " /" " '"""&D:0!D:D"? $ 3 &! &! 0& "
&! &!" " &!;'0 ! ' "3"# !(&
"A#" &! &! # #" (& & # &!
&!""#&)&&" + & &!" &! / "
&!"$ ! &! # &!&!D-&&" & 5 " " !
;E&! &!F"'E F 0E
F"01$"#"#&!&!2""# 3 & " G "!"*&! ! ! &! # #
!? " "! 9 &"&& & & /"! A#" &
-
30
# ! & #"#$E$'F" "!""$' &/"" ! & !'"
!#$"#&"&& 6&"""" $ ' $ ( & H # & 2 & #"
&) " " #
##"&%! H/ ## !0"&! ! " ! 88" &! ! " 88" &! !
/ # &*# & &$"# ! & 9 &" # &" & "
& ( "
&!"#&!!
!5#!"#! &" *
&! ! & & 9 &" ! & '!!"&!(!!&!&!"
! "G!!'&!!&!!# #0&&!
&&'"& & &!" ! (" " &%&!
!""&!#& /#& &!&
-
31
"" "&"#&0 $ 1 " # # $ & $' # 6 " " !" ? $ '6 82 8%
!H( # # # / & " )" & &! : N D , $" /"
"&3& &!""& D $ # ! & /# # # & # # ?"
&% &&5""!!" D ,::!" D - $ / # " & # " # !!5 # # ! D
D $ ! &D-$&2" " 5""1""&!& ! ) &/! # !/K-
"&!
,:R" " &! " #&!,R&!D5"#&!""& / " /K-
&!
0"& &! " 2 & &&!" # " "" " "
/ K - &! 4 # """ !
2" /K- # (! & (,$ ' # "#0$3#" H0
-
32
!/K- % "6&9 !9:& &$ ! 0# " " # &&'" "!
:" !/" & "!" 3 & & , & 5"" & & 0
,",& ( " # "(! ##&'#"#? !&4 H6'!/&"&&&
://&"0 # & 6)#H/"&" #1" & # & #
6 ##?##%# "#& ! 'D-$01" !/K-%"! " 1 "
&&!&3#&!""!
# ! ! " "& & & 4"### # &$"&)&& ("6 #
1&""&" /" # ! # "
-
33
# & & '" &"
-
34
$%' 8'8 ! 8/00 ?;!(I8'& " # " $# # # $? #" $ % "" &
&!9#&&"&1&"#&& # # 4#" & / 68)
!!84)!!!!!1 #& &" &4# 0 "" &"
&&/""$!#"'& /! " )" ( 4& ? * 2 4 / " " " 1 "&
&3 :D(!(
"(!##+"/"!9&&+"#'""&!##& 1 &9 "
&:DDDDD4# H 5 0 3 :DDDDD9&&
:DDDDD"& / 3 (!+--""!22
)&":DDDDD%H%&& H #&1D.""4#&
-
35
1 " & " & $ &&!,&&!&&
&!&&&9 & /" " & 2
& 9""#!% & H ) E8?8&& F> &
'","&"(!#&-DD"#3 % & & " & 4#"D."
/"#""" " & # 2 " !1&&'"&2 & " # & ( ""
4#.##!! & /"!& # """" 3 # "(! (& " " (!
' " !(!3&" " (& 2!"
4##'"&"!& # 6 " )4#/& # $# # & !#$1"!#"
!*0#!&'"3
-
36
&&0 # 4(&"(&! # & 3 '#"& " & # 3 ?
"&&" " &! ! &" 4# 0 $ &9" " & "$#H4# $
#& $ # #!0 & # ?&" # $/&"$
? 4# &" #"$#/"$9@7+##$""#'#"4#68)#8( # " " # "
&&$0!!"# ?"
" # 2 ! 4#!4
-
37
" " + D.""4#&1&"" &!#&
& " &!" 4#"# "&/ " " #" "&&2'0
# & ' #
! &&9 &&4# & ( &!! & 4#/ E#"# &"
& " # # & F'&& ."$7&&!? &!"44# & 9
" &! !A&&!""&!2 &!" 7 & &"#(#&&
#4#&"& & " 4 " &"4##&9&&&'#&1!"
& # 0 " " # " # 2"
-
38
?& 4##&&
-
39
/ " # & "&!
# &! ! 2#">#""&"#3 # &! 3 #
! % # $H2&!(&3"(!3"%+3 (!(&" & & &" 4#
""&& & &0 &$ " $ # # ' & 2# 3 2 #
3&"
-
40
# # & &' #$
-
41
&'-%!80
!8'/'!' $ 6 # ,#H?&"$#H5$""&"#("&! " ! !0 "" &
&$1 &"$ )!'"&$E&F% " $ & 1 " & "
-
42
?#&&$/!9"$&4"&&"H3H/ 1
-
43
6&$ &"#" /
!, %& ! ="4'
-
44
"&!" " ( ?" " 5 & & " &1"&!
' &! " # & ' !
' " !% !" C & $ , " & $' & 5 $ 4 # $ "
1"&&0& " $#2""$ 1 &" #$9 & $ & / &" $
!!#& & 6 " (& " $ "$&+-:"?7 $ " & &" !
0#3"'#3&" "! '#3 7 &6&$ !* & $ ! ( " & $ #4$ "
% " &" 0& #$("$!"" & " $&" !&3 $!"H!
$ #4 & " &$!'" ! & %'6
-
45
4 "
/"#/ & " $ # 2 $'9"
4 ! $'" 4
& #+/# & #2""&1""
# & '" " "$'0 5 " &! "$!A""!$H'# " # $ &"&$""
& '& $''&"""## 3 4 # # 3 " # #
&/"#&&3"&3(&"&8&$ 8 & & "&
3&"5#3&$&&"# # &/" &$"# 4 #!"&$&? 7
# & # !'#$#1"$&1&"# 6 &$& " "
# # ! & (!/&'"
! !4#!"" $6""#&
-
46
$ $ ! "
# 0 "$#! 5 % 6 #$" ?!$
-
47
'(( !0 & " ED.F"# E.F EF'44#"" &4#"" # &
/&68)!!8/"& #("# # &"# #&& 0 #$ & # #"#"" !
,# % & !! 9 !
9"
&!"" ,!*&# & 0 # ! ! , " " ## " " & & " !
"&! ?# ! 3&(&0" " #
!"& (& & ? & # ?&" & # ! & #"&'#
! " # # #
!9 & %"!#&"&1&&
" & :DDDDD"#'"#!
-
48
'"#"""#5 !!6& +!!
& A!# &6 +2R ! , + /! "2" ! %&(&A!#&
-
49
! &" ! &&&!&/& ""&! # & R!" '
E"ND,F"!?&! ! " &! ' ""! ! " ""&)&!> & !
!/#)! & & "! ! & &/"&!!""! & "!#' # &
=" & #! !/" " " ! &!
%" !#1#/""# #&!&!9! &! # & #!"& ) ! &"
!&&"# &&&! #@& % 8 8&!&!""&!#
"8 8&!"&!/ """ E8> 8F 1!"&
&!"#&/#&!&!!""&!? & !&&!! , " !"
&! , ""&! 4&!""!&! ! " %&!
& &!,&!" !#"% #&!!"# & '" " ! !&!
&& " & $!&!&
&! !
-
50
>S," &! & ! ' & &!
# ! %!&(& 0&! # & $ (
"!,&"!" , D % !" # ' "! ," &!""E!!F* ! DDD " ## % !
&!" & 0##!""! & 1"
!$ &%!"" 9!(& D ( " ! $ '" & $ 0 ! # ,& & DD
'& # ? / '" % #"",(4(,"& ! $#>#+ & " ! 88, #,#$
!3'3#& ! #
% " & &! 4 " # " &! # " # ! & ("
-
51
' " # / @ ' 0 ( $ ?"! 7"! #&+ ! 2 & G ! " !'!! "$$ ' ! "
!!&!& $' $1! " " /&$"$'4"!""! 0&! &&
&!,&!" ; " " &! "(&" "! &!
-
52
5 4# # 8) !!8
-
53
"##$#%&'((!'! &/"!#&&%# " ! " & !
#+"##(!!/"!""&$&1#& " "&5&"#
&0#&4%J("#!" $/"#"#6#?!"#
-
54
/" #" & ' #-"%""!H;&!&."4##/"&"##
'#"&9&""! 0 &
, (! % (!" 4 ""(! & " (!#" ! ( "#"& # 0 & ! / !
0!!"#&2 # (! &
-
55
1 "'#4## ! " '""#6"#&"#8!&8" ! >! (/5;"& 48
8(#""&4###&4"# & & ' &" &!
A&&!"&" +:" & & ! / " &"!!""#&&!2!
!' !" & % " " &! &" # & / %&!!H'#&5 &"
* &!" &! & !2""!/"#!##*%! #&! &"
#&!/A"&&"!H'"#",2"
#&$0,#&4"#! " G! ! &!!" & # & ! /" & !
)#"&!##&"!#'"" #& ), &! # # 1 " !/&! G &! /
""&4
&!#,"#$&!# !5""!&$G! "" / # " #
"&!2!682J8
-
56
A&!H)&!,&! ! " &! ! &&! ! '"&!#
&! &!#/" ! &! G!#&!"&!G!""&9
&!(&! & ' " "#&?" " " # ) & &&5,
& "#! $/# # &"# &! $ & 1"$&"" &0/ & ' "
" & # &!# & & & &" &!" #
# 5 # & "&!4 " " , &" # & # & , & &
# &$2,&!0, # '"" &" # &! 2" " &" # , / & !
, 3&&""&&!# ), (! % &" , /""#& & &6
# & # # 4# # $$#4#2&! # / #$ "" # (#&&/",
-
57
! # % ," """ # "$ ?6"&!!# &$G!, #$0,#&" &"&!
( " ! # &" " " # 0 "&&,( , & " & &
-
58
)#"##$))%#$&*!1*;%)68>84 H5 #& "4)"#4&
H4 "
H0#&&3#""H1"!%" ! $ 5#& "#"!?*6
, 4&"! & # &
$&2)4""EF&$#'&!$)"1&"$"#
3 $ & # # ' " &0%""& # # & H2
(8% & " 2 &;H? # # 4#&H/#" & & H (
!##(&"
& /" &3### H 3 H0#,#&4"""#H/ & "& 4
"#&
-
59
# & # #! /##"#@"" 6 $"
& H %& & "!#&!9#&"&"#"&"&4$""" $
& !! & $$ & $ #
-
60
" 5! " # 5# # #/"! @&,#&(#4/*;/"
# ' " 88
% "&H% " 6 # H 4 " " " ("#"
! ! " #!"# >""&'"" & #" 4" '###""$& #9 4 #
#&!% #&! " # &!>D&!0"##& # & ! !
1"&&" G &"&!5"& ,& #'" &"# # ! ! " #
&! # &&' &!&' /&""&"/"& " ' & ,
# , 7 # 2 # 4 ##" 4 #
##&!3&
-
61
2#&
/#"##1"
#" # #& ' 6# # ##
-
62
/" " 4 "# "
!#?6 $ '&
) 2 " " )
-
63
*"# #$ + # %#$ & !'$"#&! "&"#'6#%!""""#&(# !
&0!"#!%"3 " 4 ! & # ' " $ 2" & " 7 -=:-=='##" -== %
& " & -== & 7 , %B0%("""
-
64
'&!9"&% & " " & " &% 3 " " # 2&&"#
& &/&&& # !9 # & "" &" 4& " &
& '" #" & /#"& #& # ##
##2 # 3"$ # % "(! &"
& # ' " 2 &3$#&" % (! +" 2& ' " &1&" # "
& $ # #
6?#" && 5 & 2 &(&' & !" "
"!"3&$4& && !& !85&&8;)@"8;!)!@N8, %
& & & 0 !" " & & & & # $ # 9"" #"
&4! " & 5 "!13#$/ &!%""#&
' # & $2 & & ! &$#)& #&
-
65
! & !& " "#$" &("")#$",#"
&!& & # 4 $ & " !& & # $ &
$&$(&$'&$(#
,0&&$("4&"&(#$&$("88"0 !% " H( &4$&"
# ' ! & # ! #+'" & $ 6
H4&"$#4"$"&$( *" "
G$" # # /&" " # ( $ # 4 " & G $" & ' ""$#" * & '
&&
#"2&!&!/1#? #!
# & 2 " " ! &1 ! &2 & & (""2&&!&
&4 & $4"" & " $ #% "(!# 0#!
-
66
3',&& *"""#(!' &1&"(!
""""#%"$3&(&!"## 2!# ! /" !##+" ) &+# ! &(!2 ""
#!/""!!#/& &! A&&!""4&!!"#!0&&(&! 0
! G! &! ! *!#&'&!"&!"#&!4#DD9!0$"
DD9&!/"$#) $ # & 4 # $ # 5 & $ /" #"
$ & " & 1"&!3# # H 3# " " & &H
-
67
#*&2 &&""#""#( & # & !$3& $ &" &
! &
! !5! $ " " 6 &! "#!"$&
#&'"!"$&0&$""&"##A!&H% " 2&&
"$"$'%& & $ 2 ! & " & $ ? &
#&2" &! & # & &4&"#! $*&!5# &
,&!"#4&&!&&6 3 " # &4 " $&?!2$##
%&% " " # " "# 0 ! (! & "# 4! E# F #* & # $ ! #$)###
( # #" 2 ! "# $ / " & 4 # /#&!")"#6 & $" #
-
68
& 4 & $ / # 3 # # & H*&!0&!" (&/" !
##+/ # ! ' # & ##!") !0 " )$2&/""#%!"####2,"!,##( #E #
F" #" " G 4! # & & # #?&""&& #"&
&$'$(1&"# 7# # & &!4& " " ? 6&! $! &
&0&!#'""&2"#$" &2$# $%"&!"$
" " ! & 5 " " &" # ! & &
-
69
+",' ),),( 8'& 8 # = "!!)00 !" # !"&" ! " "&"#
"#"&""&"&"! ,&!""& 0 E #F""#E'
,)"%#,"
AF5 ! &9 &68 ! 8?&!;?'" & & 5 (7""
)"$(>(*16 / # &" " (" # "& ""#H(05$@/6/&" / , &
" & " !" 3#&" (*161 &" " '&" " # (05$@/6 ' "
##4& &! ' ! G " &! &(*164!"(HG&H(05$@/6(" /
%"" 2 "# " # # 2 &(*16
-
70
"" #!
'# "#"(*16
-
71
/#"###*#)!"##&(##"#& " & ; & "
%#&!"&&&"/""#&$ &&(*16*&!"& ,
,8 " !&8%#"#H(05$@/6/#! "
!!'""
( & (*16!&(05$@/62!!G4(*162""!9!!H(05$@/6/" ! !%&
&" * # &!#B
#"#!(*16082&8(#H(05$@/6(&>1
& " #1 "2&'!/&"(*16&"#"###"H(05$@/6)#(4""!), ##"
#(*16'&H(05$@/6 % " & 7%(# "$ " & "&70&
#"&2#&9&)&":(!#' " 7 % " (*16 # " 1 " # 9 &" '
# &" " #1&H3#H(05$@/6) #8(&&!
!%!"8/
-
72
8 3 (*16'"# # ! & " "#?
H(05$@/6%# 2 9!/&!,&(*164""####%H(05$@/6 1 " &!, '
!
'"##" '# "#'/
"&!&(*164& #&
#!H(05$@/60%")#3 88: 2("0" #2 #&(*16'!!"H(05$@/6?)!">9!
&'""##"&&/"!"(*16%& "" #
,3&"("&&(05$@/6 $" & ' # >'" 2
>(-"&>'#'#:&"
$ & &" & /""8$82#$,,,,,,G !'$#
C)"/&"=/'"$"!")!$$!'&!"(("( # 7"( (&&71&"!$ " !
'" # $" !((&2&(/&(& #(*16/#&"("
" # ,"""(05$@/6(&!#5!#$# "##4
-
73
%"5/,#""&")!(05$@/6
-
74
(*16 " # + " # /" " # "
#>"&""&&6&H(05$@/63)>"!"2#&4$! (*163! # #
?3
8 #8 H4" H(05$@/61"&&4"&" 8&8 !( '!!&4!
(*16A!H(05$@/6( & & # #!3#4!!#&!&0 ! " # # #
0&"! #!(*160&""7&0 ! " !4 ##$"H(05$@/6%! # $ 3
&
'""6!"$/"&(*16 %# # # !
4 # ! "&"&!7&(05$@/6@ ! & # !4"&&! "
!""#H? # H0## "!&!(*16?"("#!,""#&"##H5" &"# & #
&" ##H(05$@/61!'#"G###0!!'#""#(*16*#(05$@/6 2! /& % " ! ;?,
' 5 ##*
-
75
2!'& )"&"2!&(*16 4 " # "("&"$'"#
# ( # & " $
3& & "" " )H(05$@/6?" 5" " $ & ,$'4 #
""$&0&&$&/"")$ &""),(*164)"##6" "
(05$@/6>"&'#!4&""(*164"")'"H(05$@/6 ( # # & $&
& )4 6#$#H4#"#)(*16?&&(05$@/6>
-
76
(*16?## &"("H(05$@/602!
