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The Twin Paradox

David M. Wittman

in The Elements of Relativity

Published in print:
2018
Published Online:
August 2018
ISBN:
9780199658633
eISBN:
9780191863653
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199658633.003.0010
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

To prepare for the high‐speed world where Galilean relativity breaks down, we now practice the skill of thinking in different frames. Practicing this in our familiar lowspeed world will help us avoid ... More


Electromagnetism and special relativity

J. Pierrus

in Solved Problems in Classical Electromagnetism: Analytical and Numerical Solutions with Comments

Published in print:
2018
Published Online:
October 2018
ISBN:
9780198821915
eISBN:
9780191861055
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198821915.003.0012
Subject:
Physics, Condensed Matter Physics / Materials

In 1905, when Einstein published his theory of special relativity, Maxwell’s work was already about forty years old. It is therefore both remarkable and ironic (recalling the old arguments about the ... More


Scale as an Investigative Tool

T.F.H. Allen and Thomas B. Starr

in Hierarchy: Perspectives for Ecological Complexity

Published in print:
2017
Published Online:
September 2018
ISBN:
9780226489544
eISBN:
9780226489711
Item type:
chapter
Publisher:
University of Chicago Press
DOI:
10.7208/chicago/9780226489711.003.0013
Subject:
Biology, Ecology

The diversity of life forms depends on the existence of the eukaryotic cell. Eukaryotes overcome scaling conflicts where increased size separates the working structural parts from genetic ... More


Reasoning with Frames and Spacetime Diagrams

David M. Wittman

in The Elements of Relativity

Published in print:
2018
Published Online:
August 2018
ISBN:
9780199658633
eISBN:
9780191863653
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199658633.003.0004
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

To prepare for the high‐speed world where Galilean relativity breaks down, we now practice the skill of thinking in different frames. Practicing this in our familiar lowspeed world will help us avoid ... More


Acceleration and Force

David M. Wittman

in The Elements of Relativity

Published in print:
2018
Published Online:
August 2018
ISBN:
9780199658633
eISBN:
9780191863653
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199658633.003.0002
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

This chapter develops crucial distinctions between constant‐velocity (also called inertial) frames of reference and accelerating ones. Inertial frames respect Newton’s first law—objects maintain ... More


Dynamics of a point particle

Nathalie Deruelle and Jean-Philippe Uzan

in Relativity in Modern Physics

Published in print:
2018
Published Online:
October 2018
ISBN:
9780198786399
eISBN:
9780191828669
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198786399.003.0024
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter attributes an inertial ‘mass–energy’ to particles. It also distinguishes between the action of an external field and of long-range and short-range internal forces, which is useful for ... More


Origins of relativity

George Jaroszkiewicz

in Images of Time: Mind, Science, Reality

Published in print:
2016
Published Online:
January 2016
ISBN:
9780198718062
eISBN:
9780191787553
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198718062.003.0016
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter discusses inertial frames, the speed of light, Maxwell‘s equations, and Galilean transformations, as they were understood before the advent of special relativity. It discusses the ... More


Introductory Rotational Dynamics

Peter Mann

in Lagrangian and Hamiltonian Dynamics

Published in print:
2018
Published Online:
August 2018
ISBN:
9780198822370
eISBN:
9780191861253
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198822370.003.0003
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter discusses the importance of circular motion and rotations, whose applications to chemical systems are plentiful. Circular motion is the book’s first example of a special case of motion ... More


Physics and Geometry

David D. Nolte

in Introduction to Modern Dynamics: Chaos, Networks, Space, and Time

Published in print:
2019
Published Online:
November 2019
ISBN:
9780198844624
eISBN:
9780191880216
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198844624.003.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter emphasizes the importance of a geometric approach to dynamics. The central objects of interest are trajectories of a dynamical system through multidimensional spaces composed of ... More


Einstein: The Great Clarification

John C. H. Spence

in Lightspeed: The Ghostly Aether and the Race to Measure the Speed of Light

Published in print:
2019
Published Online:
October 2019
ISBN:
9780198841968
eISBN:
9780191878084
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198841968.003.0008
Subject:
Physics, Atomic, Laser, and Optical Physics, History of Physics

The confused state of theoretical physics in 1900 and the great unresolved issues are summarized, one of which led to the birth of quantum mechanics, and the other to relativity. How it seemed ... More


Electromechanics and its devices

Sandip Tiwari

in Nanoscale Device Physics: Science and Engineering Fundamentals

Published in print:
2017
Published Online:
August 2017
ISBN:
9780198759874
eISBN:
9780191820847
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198759874.003.0005
Subject:
Physics, Condensed Matter Physics / Materials, Atomic, Laser, and Optical Physics

Electromechanics—coupling of mechanical forces with others—exhibits a continuum-to-discrete spectrum of properties. In this chapter, classical and newer analysis techniques are developed for devices ... More


Galilean Relativity

David M. Wittman

in The Elements of Relativity

Published in print:
2018
Published Online:
August 2018
ISBN:
9780199658633
eISBN:
9780191863653
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199658633.003.0003
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

Galilean relativity is a useful description of nature at low speed. Galileo found that the vertical component of a projectile’s velocity evolves independently of its horizontal component. In a frame ... More


The field of a moving charge

Nathalie Deruelle and Jean-Philippe Uzan

in Relativity in Modern Physics

Published in print:
2018
Published Online:
October 2018
ISBN:
9780198786399
eISBN:
9780191828669
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198786399.003.0035
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter begins the study of electromagnetic radiation by calculating the field created by a single moving charge, first when in uniform motion, and then when it is accelerated. It reveals the ... More


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