PPT-Relativity: from Special to General

Geraint F Lewis Sydney Institute for Astronomy School of Physics University of Sydney So far we have looked at the special theory of relativity but today we will expand our understanding to incorporate gravity . Zermelo-Fraenkel. Set . Theory. Michèle. Friend, Philosophy, George Washington University. First International Conference on Logic and Relativity: . Honouring. . István. . Németi’s. 70. th. . by . Hajnal. . Andréka. , . István. & . Péter. Németi. A Logic Based . Foundation and Analysis of. Logic. . Colloquium. , . Sofia. , . July. 31 – August 6 2009. Relativity . Chapter 1. . . Modern physics is the study of the two great revolutions in physics - relativity and quantum mechanics. . Galilean Relativity. . . All inertial reference frames are equivalent! Another way of stating this principle is that . Megan . DeCesar (UWM). In collaboration with Scott Ransom (NRAO), Paul Ray (NRL), Paul Demorest (NRAO), David Kaplan (UWM), and the . Fermi. LAT Collaboration. Discovery of a Highly Eccentric Binary Millisecond Pulsar. Galilean Transformations. x’. y’. P. v. x. y. x = x’ + vt. x’ = x - vt. Divide equations by t. u = u’ + v. u’ = u - v. u’. Example:. A train travels through a station at a constant speed of 8.0ms. Hubble’s Law: v = H. o. d. Velocity increases with distance. Expanding Universe. Hubble’s law .  Universe is expanding. Universe had a beginning !. How long ago?. Age of the universe: 1/H. By: Victor . Jeung. Postulates for Special Theory of Relativity. All laws of physics are valid in all inertial frame of references.. Light travels through space at a speed of c = 3.00 × 10. 8. m/s, relative to all inertial frames of reference. . Albert Einstein. A portion of Einstein’s fame came when he formulated Special Relativity.. He came up with this theory by simply performing thought experiments. He wondered what would happen if you travelled at the speed of light. He started with the most basic principles of physics and worked up from there…. Spacetime and Gravity. http://en.wikipedia.org/wiki/General_relativity_resources. . S3.1 Einstein’s Revolution. Our goals for learning. What are the major ideas of general relativity?. Is all . motion relative. Relativity 2 Relativity 2 Disclaimer: These lecture notes are not meant to replace the course textbook. The content may be incomplete or even inaccurate. Some topics m The second postulate is real Quiz. Breakdown of simultaneity. Length Contraction . Time Dilation. (Some clicker examples here. a. fter derivation). https://. www.youtube.com. /. watch?v. =. wteiuxyqtoM. Simultaneity Movie. Breakdown of Simultaneity . Faranak. Islam. Jose Guevara. Patrick . Conlin. Outline. Creation of special relativity. Why it was created. Two postulates. Predictions. Length contraction. Time dilation. Impact. Then. Now. In the future. Special Relativity The laws of mechanics must be the same in all inertial reference frames Time is the same across all reference frames Simple addition of velocities between frames Galileo’s Principle of Relativity This book opens by setting the mathematical background (differential geometry, hypersurfaces embedded in spacetime, foliation of spacetime by a family of space-like hypersurfaces), and then turns to the 3+1 decomposition of the Einstein equations.