Relativistic Invariance
Автор: Dr Mitchell's physics channel
Загружено: 2020-11-17
Просмотров: 1990
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Classical Mechanics and Relativity: Lecture 19
Theoretical physicist Dr Andrew Mitchell presents an undergraduate lecture course on Classical Mechanics and Relativity at University College Dublin. This is a complete and self-contained course in which everything is derived from scratch.
In this lecture I discuss a reformulation of the Lorentz transformations of special relativity that uncovers the underlying hyperbolic geometry of 4-dimensional spacetime. We will see how this naturally leads to the invariance of the spacetime interval to Lorentz transformations: the 'distance' in spacetime between two events is the same in all inertial reference frames. We will develop a matrix formulation of the Lorentz transformations, as a precursor to the more sophisticated theory of 4-vectors to come in a future lecture. This will allow us to prove that a certain family of physical quantities in special relativity are "Relativistic Invariants".
Full lecture course playlist: • Classical Mechanics and Relativity lecture...
Course textbooks:
"Classical Mechanics" by Goldstein, Safko, and Poole
"Classical Mechanics" by Morin
"Relativity" by Rindler
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