A Problem-based Introduction To Special And General Relativity: Including Worked Problems And Discussions Of The Ehrenfest Paradox And The Maxwell Equations

It is Einstein's Theory of Relativity that braids space and time into a thread from which the fabric of existence is woven; it is Relativity that forces the existence of magnetism, and the Pauli Principle, and the biochemistry of living things. A Newtonian universe would be sterile. There is a fever-dream alienness to Einstein's theory, which offers students a first opportunity to see how profoundly different physical reality is from our familiar (and grossly inaccurate) classical picture. This divergence springs inescapably from a single, simple observation: the speed with which a beam of light travels through empty space is always, always, always 299,792,458 meters per second. It does not matter if the source of light is moving with respect to the measuring apparatus. The speed of light never changes. This book comprises fourteen units spanning Special and General Relativity. If used as a course textbook, the material can serve as the backbone of weekly meetings in which students work together in small groups (closely supervised by the instructor) to solve a number of simple problems, then to discuss the conclusions one can draw from the results. In this way, students will derive for themselves some of the surprising features of our post-classical reality. We will review mathematical techniques as required. Students will be expected to become comfortable using calculus to solve problems as necessary. Completion of each of the four longer problems presented at the end of each unit will require two or three hours. Read more