Natural Science Forum / Physics / Research / February 2007

Can anybody point me to the reference for the PROOF, by Penrose (Oxford
mathematician) & Hawking (Cambridge physicist), that singularities are
an inevitable consequence of the mathematical apparatus of Einstein's
Field Equation?

There must be some work done superimposing disparate swaths of sky to
look for identical, simultaneous signals. Anyone know?

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 ...

To our SPR cousins:
I'd like to ask a question I have been thinking about a lot lately and
see what others have to say.
Would it be fair to say that the "path integral" plays a role in quantum

The Korteweg -deVries equation accounts for the existence of solitons
in water. Al Osborne has done some interesting work on solitons in
water layers such as the giant solitons off the coast of sumatra
mentioned in the link below

It seems that bondi mass is somehow related to positive mass
conjeture.
I looked up Eric Weisstein's world of physics. But, it simply showed a
mathematical formula without any explanations.

Apologies in advance if this has been covered in past discussions
- if so, please point them out.
Lets say we have an experimental situation of a black-body
radiator - such as a 5800K filament or the photosphere of the Sun.

I am interested in knowing if there are any introductory textbooks on
relativistic non-instantaneous action-at-a-distance interactions. The
abstracts that I've read on this topic recently [1] [2] seem very
interesting and I would like to learn where to begin with

"Where's Waldo" is a cartoon phenomena whose goal is to spot Waldo
somewhere in a densely drawn image.  Waldo is there, you just have to
work to spot him.  A simple game that has meant millions for its
author.

A wavefunction is usually complex, and wavefunctions can be thought of
as vectors (I think). That means that vectors are complex too.
I think the vectors themselves are complex or maybe the 'complexness'
comes in only in the form of the scalars that might be used to

Here's a little movie of a hyperelastic string being unreeled through a
horizon (I've used a Rindler horizon, but a large black hole would be
more or less the same):
http://gregegan.customer.netspace.net.au/SCIENCE/Rindler/UnreelMovie.gif

As I fabricate the dashboard for the MOEPED 5, an electric bicycle
with ultracapacitor energy store, I require a tricky bend in Lexan.
I am wonder if five each 2500 F, 2.5 WVDC caps from that vehicle would
provide a suitable hot wire bend with a 14 gage stainless spoke as a

In QM energy is related to frequency by h_bar.  In Relativity mass is
related to energy.  A particle at rest can be represented by a wave
function exp(-i*w_0*t) where w_0 is the frequency corresponding to the
rest mass of the particle.  GR predicts a gravitational red shift.  I

A photon is emitted from source A to receiver B, in perfect vacuum,
with a constant distance r between them, and without gravitational
influences, so they are regarded as inertial systems. It is assumed
that  the emitted photon will follow all posible paths from A to B,

I know this is a very strange question, but what else what you expect
from a mathematician ;).   I was doing some research in abstract
probability theory, and I derived the integral below for a property of
the space I was looking at: