I have gained a preliminary understanding of the mathematical framewrk of Albert Einstein's Theory of Special Relativity. More specifically, I have understood, at least in part, the Minkowski Spacetime Reformulation of Relativity which treats time as a fourth dimension. I now understand the derivation of the time dilation equation.
Before this sudden revelation, I could only stand far back, like a spectator and wonder at the quirky implications of the theory. But now I can get up close and appreciate the true beauty of the theory which lies in its use of non-Euclidean geometry
It's interesting to note that Albert Einstein did not construct the theory this way. He started with the assumption that the speed of light was the universal speed limit. However in Minkowski's Reformulation, this does not need to be assumed. The fact that assuming four dimensions solve many of the problems that Special Relativity faced suddenly makes the 11-dimensional universe suggested by the M-Theory more plausible and believable. An understanding of Higher dimensional Geometry is just within my grasp.
It's interesting to note that Albert Einstein did not construct the theory this way. He started with the assumption that the speed of light was the universal speed limit. However in Minkowski's Reformulation, this does not need to be assumed. The fact that assuming four dimensions solve many of the problems that Special Relativity faced suddenly makes the 11-dimensional universe suggested by the M-Theory more plausible and believable. An understanding of Higher dimensional Geometry is just within my grasp.
4 comments:
Man, I have been sleeping too long. I am still just at curved space(the M/3(c^2)
part). Can you share your source?
I suggest that you visit http://en.wikipedia.org/wiki/Introduction_to_special_relativity and read the section on the Minkowski Formulation very carefully. With a little bit of imagination you'll be fine.
I have been reading Feynman lectures.
There is a good lecture about curved space in volume 2
I'll get right on to it. I've got all three volumes.
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