I

5rilNCHE, BUCH: A/ERI ED E^ITROPIfr

The e*flaraf,b, tî! A/acK ht/e erohq.!

ìùt fer*ts o/ icras"Vo sfa"f. t /s on <l

o( tlre uaiar saccessei -/ sfrîu7 tlety

P4au ,e/ tle ta/r' Setn"

Fr.feîlîen -/ b/ac,K ha(es

. B'l-l therutedyaarzr? s : where 4re tle*q ì cfosfa fet ?

' B hcK bran€s iu st't 6R+

. BAacK ho/es ìn't ltt6RfI

' sfríra theerq l'- //e rescueOJ

tle receler7 e/ /ett ratLrashLt'' BeTea/ cxltn.

rt/ar'/,; /t/n/ar

2

6ENFRNL RFLNTIV,T)/

B laeK Ho/e: r elìou t/ ,foce- rotrd"ral

lo ol/ ìfs euvìron'noeqt-

tin,sfeìn tror,h4q/5-76 t,usfeín - y'/,'//erf a"etian

N ln e)* {-nr I

R = ?nG, T,

5r, 4-C lrhwltn ccrstaul

l .

3

lrlot even /r'/t 14 cat, /a/e

+ BI frCK T-IDL E

t : 5 ehw. ra-d;u s

lL,ryton

90

'Jn weaK {,"// /u, àle

4

a

lo d;start elserr€ ard

eutsì/e tilar// e =60"r

Sor. fyetù,'es:

4

B;, he// t,l :( l

î

t

€;rsteìn-M xwe/Z /1.

-rj- r lO =

r

t 2 hari tans -

I

2tx

r.+

I

C

( ,

d

+re=Opz

a l ,lsehertt c eaad;aal"t,I

t

n.aqe '- -G

\a -

r

7

l'l u/Í,' T3- H sa/u an

N

t

' l ínelt ,t :

A= l ^ - -

6

' h a,ir't tl .

fr B- | is ac*uf/eh/y sfec,/,ed

)T ard q

=> si ,!" sla,le, u\jeol

q=+ (.+ J,,

a1

ClavXe e ,ts.: tle tl^ry. -/ a B -H i s

Whee/e, fara/tx ( Ue\

t{ a B-H ha/ % eahuFl , tle /'//

-(

a b"a1 iulo iI vvotcH lay' /o

dedrase '/ /a/ er/fufl

J

+,

2f 'Scl,, w. nefri c

eî nL( tnel'rì cc)

9l.

I

z

r

q-_0îr

I

l -h?|€a,Y heri ton qeerrtelTq :

Gd

QUfrNTUt4 Ì"tEcHfrNtcs

Q uÉNTut4 DyN4 t41C ,I pl nTT R F IELD S

ín a {irrd yu"*yt€frîra? b.K7d

(,.t. no dyr*tuia! Xr^vi | .[ ieH )

ath inleqral + euchi/ean fiue a)=Lr6

c.hwe.rsch;!À bcKXd, T:;., li',

een

d tt 6'2 d".t" + dat + rrr rjJ2:

To aveid a. coniea/ s ,îr/aritl

dù = 4) *lr

Peri edì c- +euc0iAean tímeFt'zt'fefemperahtre

BlacK Hokf ernpertfure

fr à qu*nluml ì .

o{r8 n

w\=

va c40t?n

t( ma.tt",

+ NT= h/p

HawKi:t(a)iaL ten

2,/ 2

t(rr=M!

wTn =

F xfrera/ €ase <à GM q,

? , -t -tex

susy broKen

su y + ExTREr,4nLlTY

=r_

o

Ht l;nite TIr,

is

r2

Q=- l-l

à 5r" = 6rK G M2hc

Hett E MTRO

enef f

+ ctlkl = T, dS

fr=t;

heritan a.rea,

?/a cV( a(a.

+ /'-t

o n idîosdrspi e orì ,f

. I l-t

"Vhefe Are ,h

whee/er faradox ,a/r.J , b,,cF ,

I rnrn ì rei

Itorn. I Va la se/u lian(/

t3

5l-ri "g

th. ni6ht be use(u ( te , tudy

B- Fl sinc e a/f,er e lrrriu aîe pn t7 othe ter in a. .th ereu b I as h i on:' 4ob su cc e!3 e(

n 40- D "paceh'me l'4, = rh,,

l"* en"rXj (!"-o) "U"elive

tleer! a{

p-ben€s: elassi"a( .,.1) solufiens

t,{ tlln fi exfeuded ìn

p "Facz d;r..fiau s

( p sFa"e l,iKe bars /. Ki//;ro1 r'e .-'l-rs )

lrrr T lrp s,cFrfets tf* ,2 /t 7t

l4

p- bîqn€s : charld uràer eufisgna. p*/ (or,

(

'rl*,'*'

TyF"

\ru

I

l

even

oAal

EXrflE I,4nLsa9.

l+trB

+p

+F

(aPs)

susY 15

dtl = Hk rt dOr.di,

12 = Ì,

3r= e

di(o{'n /rrU, +

a

--

6oad"ot*fsiAe" tle B-H. Hc zan f=O

#

,I T

- î tt hete

fr*alry usl,f

8-(z),

t7

f+O

->t,

a,n ";Ì1 siae"

bhe4 l.o/e

. Consfenf d; lo,len

. fr (s5) -€, ceu 61. i , e. tl are i s

'' fr(zt-P) ,i o

r+O

as lp, th e R- ̂ /I

à Ceerdìrna,fes ele " c6p*îF/e fe"

t/o";nferìo ", horiton af f=O

("r// sint(laú\ )

Mo tphhrn: con?act,{f

Air.'à + B lacK h,p-h ì??

Mo!

. f,ra14svers€ dr'/:'6 exfanel

-"paîa(?e(' ,t K

( +r-> ot? )

(2,,+o)

b 1 tle fa,ol(el

a.f tle lrerì ean (r=o)

?xo rya,55 ./

+/t&tl-er hew

exfeasion / t/,

a al co?î l'aÌas

\lacK ho/", "!

te?o vé2 /n*1 €.

rgr(

D,re .tisn s t!, , ls , I, , tlg

Dp- branes anol

D (p -4)- b rane s

the D

5- brqne

'c k'c€

fa.ra(h.0 I'

xr

For a D/- rqnQ

" {

Dl-

sin(t tl"alont

5

12=à=2

a

t2= î:

r\,

ct= cr c4: 0:

V.'. a.s1'r,p. nt/.

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r y t

dt Ata') +J,t

. ((s)- Itue=--

î'

46) = lr ry'r,

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d!' + [rr'H,J'o (u 2+t'an; )

àilaf"

Sanl'C,,'o

I'

9 '

t

2'l amo ict

-d() +

+!ú)' ,,1.,,IsO/

'4,'.

A;Loln, '

IHr&)

Ct = ?rN, I

4G) = /,

/

lr'*r'a n: )

tqnfre 4,"U

c5

.g It

o trc"f-\-/

v+1f-7 O

LIz,'' ' Is on

I

t l t

a Bla

c/e' u{

ov,i on '.

cK H"k:le"Xth ?nR,

L (, ) .ZrrR, r

astlmffulíc

&f eg.

23

B-H "1 F,runE MncRoscoPte EÀ/TR'aPY

ilaves alonî tle Tl-Lrenes a!! ir,r èhe

sat,e d;ree,lìon fe fr.teîve 5e 53-

Th€n:

(c, cs C,rt

f2

tr'qì/ehari a vlqr4,.

1

G')4Gt

^X-f fol %tadr/i-

tpen 5 nlt can

/o* eú""31 A-

aX Èhe o

n the

es

t f-'

K

te

a

5

Ic

tir

l t .ì

it1

lr,a

e

h

Ar

e.

?cI

5l

a,ss ?ets s ta,

i n {(*t sf acefi*e

26

This is the "pposife "l

the ,"Zime in

which Stl6R is vaeid QrN,.>1)ft con{;n. e{ brar,e^ beénre3 e -H

{et us .ount tlis nunber,( s, )( r)

)

*

(t,,t I( 5)

Xi=lrrL'!r= l.r*l Rt

htKt

Î3- l{ D- b (ane certP; l,

Ns coiuciA"af D5- branes n N, maarnà

Dl- b ranes pf "d on T+a SI

uaula l;Xht-|ine (€.9 t - ep,tìa.")

orrrcnfuu (

1n hew tna"! );/{"pr<,t vveís can ez,e

à;thiLtole tle feta/ "zar2îarfuro

e*norî

the /v, ast l"ot exoi o{ île tlsleo, ?

whioh t rt and end ah

I

Slromìn6er

B- H enfroy1 ABtt no d"p"od on 4 +

LaKe V u l! ., R: to have tle Dl-btanos

en tef "/

a.oh etler

27

+ t{f""t;n" /*/ di*. ,uFeretfonaa! tlaoy

"l *hich we Knoùo how fa aun t tle

î4n*cber c *ta,ss("tt d, a. ( .

' l4assks €xoi "{ (rr) ana (-t,5) sfuin1s:

," P, Ms@E ond N, -

V r'€c\e, "nulff/afe7a""re HA'sSi Ve

with 2'N., N5 massle jWe ate

sla,Ye

NI

le{t

Aue

f t a | ."Spinoúa? " tacuutn + 4' Mr' drl r

erîeîq 4OJ

l-btanas -

F", N m&rsl"rs (b.t") (,".01 t

VD, [e, given f"fe,( €na\'! t,,

is' s'D ! y(r"

vhere T, an

tnrrett/a-

be eas;Q ebfaiu*l U P/aoccK

3o

Pr- ,t-,

Tr=tr'MR, €4

D=/

=2r

)

. - - 1 1

5a5r,f : €qua( #) Í

--\ r l+ *uft=

qnà

(;"u

Sriorr= Zr@ = S*rc"o

CENCLUSPN S

?

t/htch w4 lare a" B-

t%t e ,t tL'l

caSe

a.ùf recle/n

04V ?rl

5 ubfained ì lr',r,ew(@3 e1

a