To: Jeffrey Epstein[jeevacation@gmail.com]:

Fran: Lisa Randall

Sent: Fri 10/2/2009 9:41:49 PM

Subject: Re:

I think I'm reaching the limits of my ability to disentangle grammar and spelling but here goes:

Jeffrey Epstein wrote:

> thanks , question , what does it look like if time is running backward

> , wouldn't it be decelerating„ into flat space from the singularity > outward„ therefore explosion than (then)

expansion.

It looks like big bang, not inflation before horizon. So not explosive expansion.

but always slowing after

> crossing the horizon .

after crossing horizon there isn't really a cosmological interpretation anymore. Time and space have switched back.

looking in reverse it appears things accelerate

> as they approach„ charged would be as a result of the deceleration. don't understand this last comment.

>

> On Fri, Oct 2, 2009 at 5:27 PM, Lisa Randall > <randall@physics.harvard.edu <mailto: > wrote:

>

> Hi Jeffrey. It was interesting-as always.







> For your question, let's first straighten out that there are 3 types > of bhs we might be discussing: Schwarschild, charged, and Kerr. I > didn't say much about Kerr--I mostly discussed charged-- since they > are changing with time and a bit more complicated but indeed they > have 2 horizons (just like charged black holes).









> Two horizon scenario means time and space switch twice so at singularity you are back to ordinary time space identification. So let's first just consider Schwarschild (uncharged, not rotating). In > that case you are on the right track. Reversing time and coming from the singularity, it pretty much looks like a 2d big bang scenario (with the other 2d in a compact sphere). Space expands out until you > reach the horizon and eventually goes over into flat space. It's not really accelerated expansion but still somewhat along lines you





suggested.

>



If there are two horizons (charged black hole case) and you are in between them (we called this Whoville becuase it looks like space > has shrunk to zero but actually spacetime has not and there is a finite time between them so there's a whole world invisible to the outside) what happens is you alternate between big bang and big V > crunch in the full extended spacetime.



V

Jeffrey Epstein wrote:

Lisa . thanks„ for your time,and patience if i understand the Kerr equations , and your explanation correctly , time and space appear to exchange coordinates , inside a black hole. , that

assumes that time is unidirectional. doesn't it appear that if you ran negative time , it would look like any other explosive transaction. great acceleration. emenating from the second horizon outward slowing to a mere expansion . It would appear that " time" got shot out of the black hole. created by a space collapse at the singularity.

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> The information contained in this communication is > confidential, may be attorney-client privileged, may > constitute inside information, and is intended only for > the use of the addressee. It is the property of > Jeffrey Epstein > Unauthorized use, disclosure or copying of this > communication or any part thereof is strictly prohibited > and may be unlawful. If you have received this > communication in error, please notify us immediately by > return e-mail or by e-mail to jeevacation@gmail.com > <mailto:jeevacation@gmail.com>, and > destroy this communication and all copies thereof, > including all attachments.