True. I guess a more pressing issue is whether the metric even applies at quantum scales. Still, it seems that the No Hair theorem is suggestive of a link between QM and GR.
Now, I must preface this by saying that my understanding of QFT is limited, and my understanding of GR is even more so. Nevertheless, I was reading about the No Hair Theorem, and it seemed to me to be suggestive of the indiscernibility of Quantum Particles. Obviously, for a macroscopic black...
In Feynman's Path Integrals, you see the appearance of e^{iS/\hbar}, and in problems with rotational invariance, you will find that (up to a degeneracy of dependence on r), the eigenbasis for a free potential is \psi(x)_n\propto e^{il\theta/\hbar};\ l=n\hbar. It appears quite frequently in...
I was wondering about a system, specifically quantum, though classical solutions are still welcome, which was resisting all applications of Noether's Theorem, and related techniques. If a system is invariant under a switch from E→-E AND m→-m, then what are the conserved quantities (in analogy to...
Another reason is that, due to the formulation of QM in Linear Algebra, the "goal" of the Schrodinger Equation is, ultimately, to find a basis for any quantum system (not unlike the i,j,k basis of R^3). It happens that the time-independent S.E. is an eigenvalue problem which, after substitution...
Also, you seem to think that time dilation is a result of a "force." This is not true in either SR or GR. Time dilation is a result of the warping of 4-D space in order to account for its true, world line. In SR, this simply means that, heuristically, "time must slow down so that the speed of...
David, you are wrong about your claims about SR. First, you are claiming that one of the most experimentally accurate theories in modern science is "wrong." You are claiming that SR is wrong and GR is right. They are both right, SR is ONLY to be used in an inertial referenece frame, i.e. one...
Essentially what happens when light enters a medium is that the photons bump into the atoms of the medium and are absorbed. They are then re-emitted quickly, and this "slows down" the signal, even the actually photons are traveling at c. When a substance is cooled, it becomes denser and light...
The speed of light is always constant, even in a medium. It is still traveling at c, it just experiences interference from the medium, which has the effect of "slowing light down."