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It is assumed in pre-relativity physics that the laws of the configuration of ideal rigid bodies are consistent with Euclidean geometry. What this means may be expressed as follows: Two points marked on a rigid body form an interval. Such an interval can be oriented at rest, relatively to our space of reference, in a multiplicity of ways.
1. A correct relativistic law must hold in all inertial frames, i.e., it must be invariant under the Lorentz transformation. 2. Relativistic definitions and laws must reduce to their nonrelativistic counterparts when applied to systems moving much slower than the speed of light. 3. Our relativistic laws must agree with experiment. Mass
This book, explores the conceptual foundations of Einstein's theory of relativity: the fascinating, yet tangled, web of philosophical, mathematical, and physical ideas that is the source of the theory's enduring philosophical interest. Originally published in 1986.
David Kaiser. Center for Theoretical Physics, MIT. 1 Introduction. General relativity, and its application to cosmological models such as in ation, is a remark-ably beautiful and elegant theory. Yet newcomers to the eld often face at least three types of challenges: conceptual, mathematical, and notational.
Galilean Relativity. The fundamental laws of physics are the same in all frames of reference moving with constant velocity with respect to one another. Metaphor of Galileo’s Ship. Ship traveling at constant speed on a smooth sea. Any observer doing experiments (playing billiard) under deck would not be able to tell if ship was moving or stationary.
Relativistic Dynamics and Particle Physics (cont.) Formal Transformation of E and P as a Four-Vector. Revisit the Relativistic Doppler Effect. Relativistic Invariant E 2 - p 2 for a Collection of Particles. (PDF - 2.0 MB) 15.
Gron Tudor Jones. University of Birmingham. CERN HST2014. Introduction to relativistic kinematics and the concept of mass. Mass is one of the most fundamental concepts in physics. When a new particle is discovered (e.g. the Higgs boson), the first question physicists will ask is, ‘What is its mass?’. Classical physics (v << c) = mv2/2. = p2/2m.
