New Perspectives On Einstein's E = Mc2

Front Cover
World Scientific, Sep 18, 2018 - Science - 200 pages
Einstein's energy-momentum relation is applicable to particles of all speeds, including the particle at rest and the massless particle moving with the speed of light. If one formula or formalism is applicable to all speeds, we say it is 'Lorentz-covariant.' As for the internal space-time symmetries, there does not appear to be a clear way to approach this problem. For a particle at rest, there are three spin degrees of freedom. For a massless particle, there are helicity and gauge degrees of freedom. The aim of this book is to present one Lorentz-covariant picture of these two different space-time symmetries. Using the same mathematical tool, it is possible to give a Lorentz-covariant picture of Gell-Mann's quark model for the proton at rest and Feynman's parton model for the fast-moving proton. The mathematical formalism for these aspects of the Lorentz covariance is based on two-by-two matrices and harmonic oscillators which serve as two basic scientific languages for many different branches of physics. It is pointed out that the formalism presented in this book is applicable to various aspects of optical sciences of current interest.
 

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Contents

1 Introduction
1
2 Einsteins Philosophical Base
9
3 More about Einstein
21
4 Einstein in the United States
33
5 Introduction to the Lorentz Group
53
6 Wigners Little Groups
65
7 Lorentz Completion of the Little Groups
85
8 Lorentzcovariant Harmonic Oscillators
105
9 Quarks and Partons
127
10 Feynmans Rest of the Universe
147
11 Further Applications of the Lorentz Group
167
Bibliography
175
Index
187
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