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We present a comprehensive introduction to the kinematics of special relativity based on Minkowski diagrams and provide a graphical alternative to each and every topic covered in a standard introductory sequence. Compared to existing literature on the subject, our introduction of Minkowski diagrams follows a more structured and contemporary approach. This work also demonstrates new ways in which Minkowski diagrams can be used and draws several new insights from the diagrams constructed. In this regard, the sections that stand out are: 1. the derivation of Lorentz transformations (section IIIA through IIID), 2. the discussion of spacetime (section III F), 3. the derivation of velocity addition rules (section IV C), and 4. the discussion of relativistic paradoxes (section V). Throughout the development, special attention has been placed on the needs and strengths of current undergraduate audiences.
The goal of this lecture is to introduce the student to the theory of Special Relativity. Not to overload the content with mathematics, the author will stick to the simplest cases; in particular only reference frames using Cartesian coordinates and t
Many professional physicists do not fully understand the implications of the Einstein equivalence principle of general relativity. Consequently, many are unaware of the fact that special relativity is fully capable of handling accelerated reference f
Understanding the deflection of light by a massive deflector, as well as the associated gravitational lens phenomena, require the use of the theory of General Relativity. I consider here a classical approach, based on Newtons equation of motion for m
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We introduce the special issue on the Statistical Mechanics of Climate published on the Journal of Statistical Physics by presenting an informal discussion of some theoretical aspects of climate dynamics that make it a topic of great interest for mat