Stephen Hawking made some remarks on this but they were all qualitative. fzero is right, to be rigorous you would need to show it that your TOE satisfies the assumptions of Godel's theorem.
But also, that doesn't mean a TOE doesn't exist. His incompleteness theorem just shows that you can't...
Nevermind I found the answer on this paper near the bottom http://hussle.harvard.edu/~gabrielse/gabrielse/papers/2008/HarvardElectronMagneticMoment2008.pdf
Currently QED matches exactly within the predictions.
Hi, I know QED is one of the most tested theories in all of science (and one of the most accurate) but I wanted to know if it disagreed at ALL with its predicted values of both
http://en.wikipedia.org/wiki/Fine_structure_constant
http://en.wikipedia.org/wiki/G-factor_(physics )
The thing...
What is meant by "no complete TOE"?
What does it mean exactly when people say "there is currently no complete quantum theory of the remaining fundamental force, gravity" for a Theory of Everything.
I know there are a few competing theories. Spin Foam, String Theory, etc... Are those not...
This is something I've always wondered... Einstein's equivalence principle says that you can't tell the difference between being accelerated in an elevator, or being in a gravitational field. No matter what, there's no mechanical device you can build, etc.
But, what about 'gravitons'...
Mark Srednicki's "Quantum Field Theory"
I just wanted to know what level the book QFT by Mark Srednicki is, that is... Is it considered first year Masters, second year masters... Low PhD..?? I know it's not upper year undergrad, that's for sure.
Just wondering. thanks!
Homework Statement
Expand e^{1/z}/\sin z in powers of z+1+i.Homework Equations
Not sure, see below.The Attempt at a Solution
I already know that
\begin{align}
\sin z & = \sum_{n=0}^\infty \frac{(-1)^{n}}{(2n+1)!}z^{2n+1}
\end{align}
And the other expansion for the exponential (but we just...
So this is a REALLY elementary question but I can't seem to find the answer on the net, or maybe I did but just keep skipping over it some how. (by the way, this is with respect to complex numbers z \in C which is used in Complex Analysis, thus why I chose this forum). I know what it means...
That's great, thanks so much! However, I can't use programming for this. Since they might be potential test questions or exam questions, and we're just supposed to use a pen and paper only. So I'm looking for a more mathematical way of solving these problems, fairly rigorously. In the future...
I wanted to know if there was a standard way of finding out the spectrum of a Hamiltionian given a specific H. For example, H = -\Delta - 10|x|^{3} + |x|^{4} or H = -\Delta -(1+|x|)^{-2}.
I don't need answers to the above, I just want to know if one can describe the spectrums of...
Homework Statement
With f(z) = 2z^{4} +2z^{3} +z^{2} +8z +1
Show that f has exactly one zero in the open first quadrant.Homework Equations
Argument PrincipleThe Attempt at a Solution
I know I'm supposed to use the Argument Principle.. So far, all I can do is show something like, in the unit...
Wow. Thanks so much, I really appreciate it!
PS: This may be another simple question but looking the paper it predicts (obviously) that there's zero probability of a particle being on the dips of the wave. However, whenever one looks at images of this experiment done with Photons (for ex.)...
I know this may be a completely stupid question and it's so fundamental but... As we all know the first thing we learn is basically the duality between waves and particles (e.g electron). This is shown via the double slit experiment.
Now I know how to explain it if it were water waves, and...
I just wanted to know what kind of math is needed to solve questions like 1, 2 and 3 of http://www.math.toronto.edu/deljunco/354/ps4.fall10.pdf and number 5 of http://www.math.toronto.edu/deljunco/354/354final08.pdf .
I don't need solutions, I just need to know what book or online source can...