Tagged Questions
5
votes
0answers
90 views
Where do I go from Linear algebra past Calc III to try to learn complex physics (relativity and quantum group theory)?
I'm mainly a programmer, but I have a love for Mathematics that's been, well, insatiable. I've had my eye on learning Quantum Groups and Relativity, but I want to stay in something I can do with ...
2
votes
1answer
95 views
Physics related question on Divergence Theorem for “general” smooth manifolds
I'm a physics major so bear with me here on the math. This is related to a problem from the textbook General Relativity - Wald. In classical electromagnetism say we have a vector field $V$ defined on ...
2
votes
0answers
67 views
Stability of Orbits in Schwarzschild Spacetime
I'm looking at geodesics in the Schwarzschild geometry, and have come up against something I cannot prove. I've shown that for a particle moving on a geodesic with $r$ constant and $\theta=\pi/2$ we ...
2
votes
2answers
272 views
General Relativity - Proper Time
Suppose we are working with the signature (- + + +). Then $\mathrm{d}s^2=-1,1,0$ for timelike, spacelike and null curves respectively. We define proper time by $\mathrm{d}\tau^2=-\mathrm{d}s^2$. ...
15
votes
1answer
535 views
Stochastic interpretation of Einstein Equations
Einsteins theory of gravitation, general relativity, is a purely geometric theory.
In a recent question I wanted to know what the relation of Brownian Motion to the Helmholtz equation is and got a ...