Recent content by Octonion

http://arxiv.org/pdf/1107.0797 http://arxiv.org/pdf/1106.5296 http://arxiv.org/pdf/1106.4375 It seems that it may be.

Here's an updated paper submitted in 2000 http://arxiv.org/pdf/gr-qc/0009013v1"

ORRRR you can do some research on the potentiality of a new form of travel where one simply contract the space-time between you and the galaxy over and over again until you are extremely close to it. Miguel Alcubierre wrote a paper on this in 1994 and recently there was proof that such...

If they ask specifically for \psi at later times then I'm guessing you may want to find the parts of \psi that become negligible for large t. Then plugging in it should work.

I know that in general the arrow of time does not itself reverse but is it possible for there to exist 'observers' in our universe that see its progression from, what we think as, finish to start? I just read http://arxiv.org/pdf/hep-th/0611088v3" by Brett McInnes so I understand why the...

If all of the eigenvalues are negative then the fixed point in n-dimensional space is asymptotically stable and if all three are positive then the fixed point is unstable but the term node, as far as I've heard it used in my courses, was reserved for 2D systems. When we did three dimensional...

You're having trouble finding info on it because there isn't much classification to be done. For three linear equations the types of situations that can arise are much more plentiful than in two dimensions. Most work in three-dimensional systems of diff eqs is with NONLINEAR equations that give...

The beams at the LHC are ultimately going to reach 7 TeV so in a collision between two beams the energy we are observing is on the order of 1.4 x 10^13 eV. (14 TeV) A laser even made of the maximum energy X-Rays can only reach 1.2 x 10^6 eV which would be negligible for an interact 7 orders of...

\begin{equation}y_1^{\prime} = y_2 \end{equation} implies that \begin{equation}y_1^{\prime \prime} = y_2^{\prime} \end{equation} The second equation you gave can thus be rewritten in terms of just y_1 and its derivatives, \begin{equation}y_2^{\prime} = y_1^{\prime \prime}= -5y_1 -...

When we look through telescopes, the average velocities of all the objects distant from our galaxy are pointed radially away from us. Indicating that either (a) the milky way is the center of the universe (which it is not), or (b) the universe is itself expanding, where every single point in...

I am currently trying to read through Garret Lisi's paper, An Exceptionally Simple Theory of Everything, and am having trouble understanding what it means for the gravitational fields to be described by a spin connection that is a Clifford bivector valued 1-form \begin{equation} \omega \in...