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Kwok Man Hui
Posted: Tue Feb 20, 2007 12:08 pm
Guest
I have a question on my mind for a long time. Does anyone know who can set
mathematics aside ---- Einstein Field Equations and numerical simulation,
and theorize a situation that colliding two supermassive blackholes but
failing them to stabilize themselves to maintain their combined blackhole
status. The failing mechanism results in the combined entity punctured a
"sizable" hole in spacetime, but quantum mechanics sets in to seal up the
hole with negative flux and dark matter. It looks like a quantum
mechanical back reaction to seal up the hole in spacetime.

Let me phrase it in an analogous way. Suppose two rocks rolling around
above a pond surface which is covered by a thin rubber sheet. When
the two rocks collide at a location, their combined weight is too heavy
for the rubber sheet. The combined rocks break through the pond surface,
and causes the water beneath the rubber sheet to splashing up. Of course,
ripples are all over the pond. In reality, gravitational waves spreading
across the Universe will be very weak to be detected even though it might
be detectable in theory.

If this is possible, all current approaches to quantum gravity may need
certain modification to include this spacetime self-healing mechanism.
With this possibility open, I predict some new astronomical phenomena are
possible. However, I would like to stop short here.

Regards,

Charles Hui

PS: Please pardon me to talk about two combined points (singualrities) are
more "sizable" than a single point (one singular point in a classical
field)
Jonathan Thornburg -- rem
Posted: Sun Feb 25, 2007 10:33 am
Guest
Kwok Man Hui <kmhui@math.utexas.edu> wrote:
Quote:
I have a question on my mind for a long time. Does anyone know who can set
mathematics aside ---- Einstein Field Equations and numerical simulation,
and theorize a situation that colliding two supermassive blackholes but
failing them to stabilize themselves to maintain their combined blackhole
status. The failing mechanism results in the combined entity punctured a
"sizable" hole in spacetime, but quantum mechanics sets in to seal up the
hole with negative flux and dark matter. It looks like a quantum
mechanical back reaction to seal up the hole in spacetime.

I'm not quite sure what you're asking, so I'll try to answer a
question which is (to me) at least a plausible reading of what you
asked, namely, "what happens when two black holes collide?".

The short answer is, you get a bigger black hole, slightly (a few percent)
less massive than the sum of the masses of the two original black holes.
The energy difference is carried off as "ripples in spacetime", a.k.a.
"gravitational radiation". The details of this can be (and now are)
determined by numerical simulation.

So far as we know, the mathematical properties of general relativity
(the Einstein equations) say that if you start off with two black holes,
you *must* eventually get either one or two black holes. That is, we
believe that -- at least within the framework of the Einstein equations
of general relativity -- subject to some technical assumptions which
seem reasonable, the situation you asked about, where the result of
the collision is something other than a black hole, can't happen.

ciao,

--
-- "Jonathan Thornburg -- remove -animal to reply" <jthorn@aei.mpg-zebra.de>
t <= 28.Feb.2007: Max-Planck-Institut fuer Gravitationsphysik
(Albert-Einstein-Institut), Golm, Germany, "Old Europe"
http://www.aei.mpg.de/~jthorn/home.html
t >= 1.Mar.2007: School of Mathematics, U of Southampton, England
"Washing one's hands of the conflict between the powerful and the
powerless means to side with the powerful, not to be neutral."
-- quote by Freire / poster by Oxfam
 
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