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Einstein's Principle-theory Approach

Harvey R. Brown

in Physical Relativity: Space-time structure from a dynamical perspective

Published in print:
2005
Published Online:
September 2006
ISBN:
9780199275830
eISBN:
9780191603914
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199275831.003.0005
Subject:
Philosophy, Philosophy of Science

This chapter focuses on how Einstein arrived at his special theory of relativity. It discusses Einstein's postulates, his derivation of the Lorentz transformations, and experimental evidence for the ... More


What is Special Relativity?

Harvey R. Brown

in Physical Relativity: Space-time structure from a dynamical perspective

Published in print:
2005
Published Online:
September 2006
ISBN:
9780199275830
eISBN:
9780191603914
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199275831.003.0008
Subject:
Philosophy, Philosophy of Science

This chapter begins with a discussion of Minkowski's geometrization of special relativity (SR). It then discusses Minkowski space-time, what absolute geometry explains, and special relativity. It is ... More


Fourvectors and Operators

Oliver Johns

in Analytical Mechanics for Relativity and Quantum Mechanics

Published in print:
2005
Published Online:
January 2010
ISBN:
9780198567264
eISBN:
9780191717987
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567264.003.0015
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter develops techniques that allow relativistically covariant calculations to be done in an elegant manner and introduces what are known as fourvectors. Fourvectors are analogous to the ... More


Special relativity: The basics

Ta-Pei Cheng

in Relativity, Gravitation and Cosmology: A Basic Introduction

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199573639
eISBN:
9780191722448
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199573639.003.0002
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

Special relativity is introduced as the symmetry of Maxwell's theory of electromagnetism. The fact that a signal cannot be transmitted instantaneously led Einstein to propose a new kinematics: the ... More


The Lorentz Transformations and the Structure of Explanations by Constraint

Marc Lange

in Because Without Cause: Non-Causal Explanations in Science and Mathematics

Published in print:
2016
Published Online:
December 2016
ISBN:
9780190269487
eISBN:
9780190269500
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780190269487.003.0003
Subject:
Philosophy, Philosophy of Science, General

This chapter continues to develop an account of non-causal “explanations by constraint.” It studies a longstanding dispute regarding Albert Einstein’s special theory of relativity: whether the ... More


Dynamics III: Relativistic quantum mechanics

Anthony Duncan

in The Conceptual Framework of Quantum Field Theory

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199573264
eISBN:
9780191743313
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199573264.003.0005
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter analyzes the implications of the basic underlying symmetry of relativistic quantum field theory: the Poincaré group incorporating the symmetry of such theories under Lorentz ... More


How to explain the Lorentz transformations

Marc Lange

in Metaphysics and Science

Published in print:
2013
Published Online:
September 2013
ISBN:
9780199674527
eISBN:
9780191760013
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199674527.003.0004
Subject:
Philosophy, Philosophy of Science, Metaphysics/Epistemology

There are rival views regarding why the Lorentz transformations hold. To understand what would make one or another of these views correct, we must understand what it would be for the principle of ... More


Tensors in special relativity

Ta-Pei Cheng

in Relativity, Gravitation and Cosmology: A Basic Introduction

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199573639
eISBN:
9780191722448
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199573639.003.0012
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

Tensors in a general coordinate system are introduced. When a tensor is expanded in terms of a set of basis (or inverse basis) vectors, the coefficients of expansion are its contravariant (or ... More


Relativity and Spacetime

Oliver Johns

in Analytical Mechanics for Relativity and Quantum Mechanics

Published in print:
2005
Published Online:
January 2010
ISBN:
9780198567264
eISBN:
9780191717987
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567264.003.0014
Subject:
Physics, Atomic, Laser, and Optical Physics

When it was proposed at the start of the 20th century, special relativity was revolutionary and controversial. Now, some hundred years later, the consensus in physics is that, at least in local ... More


GRAVITATIONAL ANOMALIES

Kazuo Fujikawa and Hiroshi Suzuki

in Path Integrals and Quantum Anomalies

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198529132
eISBN:
9780191712821
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198529132.003.0010
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter discusses chiral anomalies associated with the gravitational field, namely, gravitational anomalies. It discusses gravitational generalization of chiral U(1) anomalies for ordinary gauge ... More


Minkowskian space–time

in Advanced General Relativity: Gravity Waves, Spinning Particles, and Black Holes

Published in print:
2013
Published Online:
September 2013
ISBN:
9780199680696
eISBN:
9780191760662
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199680696.003.0001
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

The relationship between the proper, orthochronous Lorentz group, the special linear group of 2×2 matrices with complex entries and unit determinant, and the group of fractional linear ... More


Canonical Transformations

Oliver Johns

in Analytical Mechanics for Relativity and Quantum Mechanics

Published in print:
2005
Published Online:
January 2010
ISBN:
9780198567264
eISBN:
9780191717987
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567264.003.0017
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter considers a broader class of transformations known as canonical transformations, which transform the whole of the extended phase space in a more general way. Each new canonical ... More


Special Relativity: The New Kinematics

Ta-Pei Cheng

in A College Course on Relativity and Cosmology

Published in print:
2015
Published Online:
August 2015
ISBN:
9780199693405
eISBN:
9780191803130
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199693405.003.0002
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

Special relativity is based on the principles of relativity and constancy of the speed of light. The apparent contradiction between these two postulates was resolved by Einstein with his realization ... More


Relativistic quantum mechanics

G. Barr, R. Devenish, R. Walczak, and T. Weidberg

in Particle Physics in the LHC Era

Published in print:
2016
Published Online:
March 2016
ISBN:
9780198748557
eISBN:
9780191811203
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198748557.003.0006
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter starts with a brief summary of special relativity, describing how 4-vectors and the Lorentz transformation can be represented by complex matrices. Spinors are introduced as basic ... More


Special Relativity: Flat Spacetime

Ta-Pei Cheng

in A College Course on Relativity and Cosmology

Published in print:
2015
Published Online:
August 2015
ISBN:
9780199693405
eISBN:
9780191803130
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199693405.003.0003
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

The relativistic invariant interval is presented geometrically as a length in a four-dimensional manifold, called Minkowski spacetime, having a flat-space metric diag(−1, 1, 1, 1). The physics of ... More


Three Payoffs of My Account

Marc Lange

in Laws and Lawmakers Science, Metaphysics, and the Laws of Nature

Published in print:
2009
Published Online:
September 2009
ISBN:
9780195328134
eISBN:
9780199870042
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195328134.003.0003
Subject:
Philosophy, Philosophy of Science

After examining several unsuccessful explanations of the laws' immutability, this chapter argues that the account (given in earlier chapters) in terms of stability explains nicely how a temporary law ... More


The Theory of Special Relativity

Hanoch Gutfreund and Jürgen Renn

in The Formative Years of Relativity: The History and Meaning of Einstein's Princeton Lectures

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691174631
eISBN:
9781400888689
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691174631.003.0015
Subject:
Physics, History of Physics

This chapter shows how the principle of special relativity and the principle of the constancy of the velocity of light uniquely determine the Lorentz transformation. Unlike in pre-relativity physics, ... More


Laws Form Counterfactually Stable Sets

Marc Lange

in Laws and Lawmakers Science, Metaphysics, and the Laws of Nature

Published in print:
2009
Published Online:
September 2009
ISBN:
9780195328134
eISBN:
9780199870042
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195328134.003.0001
Subject:
Philosophy, Philosophy of Science

This chapter identifies the special invariance under counterfactuals (“sub-nomic stability”) that distinguishes laws from accidents. It is shown that no nonmaximal set of sub-nomic truths containing ... More


Rotations and Lorentz transformations

Joseph F. Boudreau and Eric S. Swanson

in Applied Computational Physics

Published in print:
2017
Published Online:
February 2018
ISBN:
9780198708636
eISBN:
9780191858598
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198708636.003.0014
Subject:
Physics, Theoretical, Computational, and Statistical Physics

A computational approach to rotations and Lorentz transformation is presented. The discussion starts with the mathematical properties of the rotation and the proper orthochronous Lorentz groups. ... More


Special Relativity

Nicholas Manton and Nicholas Mee

in The Physical World: An Inspirational Tour of Fundamental Physics

Published in print:
2017
Published Online:
July 2017
ISBN:
9780198795933
eISBN:
9780191837111
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198795933.003.0005
Subject:
Physics, Condensed Matter Physics / Materials

This chapter is about Einstein’s theory of special relativity, which is constructed around the premise that there is a maximum speed of interaction, the speed of light, a notion that leads naturally ... More


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