Illustrated Special Relativity Through Its Paradoxes, Standard Edition: A Fusion of Linear Algebra, Graphics, and Reality

Illustrated Special Relativity Through Its Paradoxes, Standard Edition: A Fusion of Linear Algebra, Graphics, and Reality

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LF/202383197/R
English
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This accessible work,with its plethora offull-colorillustrations by the author, shows that linear algebra --- actually, 2×2 matrices --- provide a natural language for special relativity. The book includes an overview of linear algebra with all basic definitions and necessary theorems. There are exercises with hints for each chapter along with supplemental animations atspecial-relativity-illustrated.com.Since Einstein acknowledgedhis debt to Clerk Maxwell in his seminal 1905 paper introducing the theory of special relativity, we fully develop Maxwell's four equations that unify the theories of electricity, optics, and magnetism. Using just two laboratory measurements, these equations lead to a simple calculation for the frame-independent speed of electromagnetic waves in a vacuum. (Maxwell himself was unaware that light was a special electromagnetic wave.)Before analyzing the paradoxes,we establish their linear algebraic context. Inertial frames become (2-dimensional vector spaces) whose ordered spacetime pairs (x, t) are linked by “line-of-sight” linear transformations. These are the Galilean transformations in classical physics, and the Lorentz transformations in the more general relativistic physics. The Lorentz transformation is easily derived once we show how a novel swiveled line theorem, (a geometric concept) is equivalent to the speed of light being invariant for all observers a (a physical concept).Six paradoxes are all analyzedusing Minkowski spacetime diagrams. These are (1) The Accommodating Universe paradox, (2) Time and distance asymmetry between frames, (3) The Twin paradox, (4) The Train-Tunnel paradox, (5) The Pea-Shooter paradox, and the lesser known (6) Bug-Rivet paradox. The Bug-Rivet paradox, animated by the author at Special-Relativity-Illustrated.com, presents another proof thatrigidityis incompatible withspecial relativity.E = mc2finds a simple derivation using only the relativistic addition of speeds (the Pea-Shooter...
LF/202383197/R

Data sheet

Name of the Author
John de Pillis
Jose Wudka
Language
English
Series
Spectrum
ISBN
9780615947655
Release date
2014

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Illustrated Special Relativity Through Its Paradoxes, Standard Edition: A Fusion of Linear Algebra, Graphics, and Reality

This accessible work,with its plethora offull-colorillustrations by the author, shows that linear algebra --- actually, 2×2 matrices --- provide a natural la...

Write your review

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