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T
HE
S
PECIAL
T
HEORY
OF
R
ELATIVITY
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T
HE
S
PECIAL
T
HEORY
OF
R
ELATIVITY
An Introduction
Dennis Morris
M
ERCURY
L
EARNING AND
I
NFORMATION
Dulles, Virginia
Boston, Massachusetts
New Delhi
Reprint and Revision Copyright ©2016 by Mercury Learning And Information LLC
All rights reserved.
Original title and copyright:
Empty Space Is Amazing Stuff: The Special Theory of Relativity and
the Nature of Space.
Copyright ©2013 by The Pantaneto Press. All rights reserved. Published by
The Pantaneto Press.
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Publisher: David Pallai
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This book is printed on acid-free paper.
Dennis Morris.
The Special Theory of Relativity: An Introduction.
ISBN: 978-1-942270-72-0
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CONTENTS
Introduction
ix
Chapter 1 An Overview of the Theory of
Special Relativity
1.1
Physics is Invariant Under Rotation
1.2
Space and Time are Not Separate Things
1.3
Mass Dimensions
1.4
Directions in Space-time
1.5
The Constancy of the Speed of Light
1.6
Symmetry and Noether’s Theorem
1.7
Noether’s Theorem
Worked Examples
Exercises
1
1
2
3
3
5
11
12
14
14
Chapter 2 The Results of Special Relativity
Without Detailed Explanation
Exercises
15
29
Chapter 3 Special Relativity in Physics
3.1
The History of Special Relativity
33
34
Chapter 4 The Nature of Space
4.1
Possible Types of Distance Functions
4.2
What is Empty Space?
4.3
Views of the Nature of Space
Exercises
41
42
44
47
53
Chapter 5 Physical Constants
Chapter 6 Numbers
Exercises
55
61
63
Chapter 7 Comments on Matrices
7.1
Symmetric Matrices and Anti-symmetric Matrices
7.2
Rotation Matrices
Exercises
65
67
69
71
Chapter 8 Introduction to Finite Groups
8.1
8.2
8.3
8.4
8.5
How to Find Finite Groups
Sub-groups and Types of Rotation
Geometric Spaces from Finite Groups
More on Groups
Non-commutativity and the Space in Which We Sit
73
74
77
78
78
78

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