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Persisting Objects in Minkowski Spacetime

Yuri Balashov

in Persistence and Spacetime

Published in print:
2010
Published Online:
September 2010
ISBN:
9780199579921
eISBN:
9780191722899
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199579921.003.0005
Subject:
Philosophy, Metaphysics/Epistemology, Philosophy of Science

The chapter situates the rival view of persistence in the relativistic framework of Minkowski spacetime. This immediately introduces novel features (such as ”crisscrossing slices” and ”corner slices” ... More


Classical and Relativistic Spacetime

Yuri Balashov

in Persistence and Spacetime

Published in print:
2010
Published Online:
September 2010
ISBN:
9780199579921
eISBN:
9780191722899
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199579921.003.0003
Subject:
Philosophy, Metaphysics/Epistemology, Philosophy of Science

A simplified overview of the geometrical structure of Newtonian, neo‐Newtonian (Galilean), and special relativistic (Minkowski) spacetime, intended for the non‐specialist. The notions of reference ... More


Strange Coexistence?

Yuri Balashov

in Persistence and Spacetime

Published in print:
2010
Published Online:
September 2010
ISBN:
9780199579921
eISBN:
9780191722899
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199579921.003.0007
Subject:
Philosophy, Metaphysics/Epistemology, Philosophy of Science

CASH‐based account of coexistence in Minkowski spacetime, developed in Chapter 6, is put to work to argue for the perdurance view of persistence against its endurance and exdurance rivals. The ... More


Coexistence in Spacetime

Yuri Balashov

in Persistence and Spacetime

Published in print:
2010
Published Online:
September 2010
ISBN:
9780199579921
eISBN:
9780191722899
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199579921.003.0006
Subject:
Philosophy, Metaphysics/Epistemology, Philosophy of Science

Any view of persistence must incorporate an interesting—neither empty nor universal—notion of coexistence. Such a notion is easily available in the classical context. Can the interesting notion of ... More


Special relativity: The geometric formulation

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/9780199573639.003.0003
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

Constancy of light speed allows us to interpret geometrically the relativistic invariant interval s as a length in the 4D manifold, called Minkowski spacetime, with a metric equal to diag(-1,1,1,1). ... More


Special Relativity

Yvonne Choquet-Bruhat

in General Relativity and the Einstein Equations

Published in print:
2008
Published Online:
May 2009
ISBN:
9780199230723
eISBN:
9780191710872
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199230723.003.0002
Subject:
Mathematics, Applied Mathematics

This chapter begins with a discussion of Newton's mechanics. It then covers Maxwell's equations, Minkowski spacetime, Poincaré group, Lorentz group, special relativity, Newtonian law, relativistic ... More


Relativity and the Passage of Time

Bradford Skow

in Objective Becoming

Published in print:
2015
Published Online:
March 2015
ISBN:
9780198713272
eISBN:
9780191781674
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198713272.003.0009
Subject:
Philosophy, Philosophy of Mind

Several ways of setting the moving spotlight theory in Minkowski spacetime are described. Some involve privileging one foliation of spacetime by instants, as the instants along which presentness ... More


Axioms for QM∞

Laura Ruetsche

in Interpreting Quantum Theories

Published in print:
2011
Published Online:
September 2011
ISBN:
9780199535408
eISBN:
9780191728525
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199535408.003.0005
Subject:
Philosophy, Philosophy of Science

This chapter employs the mathematical apparatus developed in Chapter 4 to present several sets of axioms supposed to govern quantum field theory in Minkowski spacetime, quantum field theory in curved ... More


Shapes and Other Arrangements in Minkowski Spacetime

Yuri Balashov

in Persistence and Spacetime

Published in print:
2010
Published Online:
September 2010
ISBN:
9780199579921
eISBN:
9780191722899
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199579921.003.0008
Subject:
Philosophy, Metaphysics/Epistemology, Philosophy of Science

Shapes and other spatial arrangements are perspectival phenomena in Minkowski spacetime, as they are relative to a reference frame. The fact is used to develop another argument favoring perdurance ... More


The Challenge from Relativity

Bradford Skow

in Objective Becoming

Published in print:
2015
Published Online:
March 2015
ISBN:
9780198713272
eISBN:
9780191781674
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198713272.003.0008
Subject:
Philosophy, Philosophy of Mind

The basics facts about the geometry of Minkowski spacetime, the spacetime of the special theory of relativity, are introduced. The concepts of the spacetime interval, the light cone, and of temporal ... More


CPT Invariance and the Spin–Statistics Connection in Non-Relativistic Quantum Field Theories

Jonathan Bain

in CPT Invariance and the Spin-Statistics Connection

Published in print:
2016
Published Online:
May 2016
ISBN:
9780198728801
eISBN:
9780191795541
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198728801.003.0004
Subject:
Physics, Theoretical, Computational, and Statistical Physics, Particle Physics / Astrophysics / Cosmology

Chapter 3 addresses the question “Why are CPT invariance and the spin–statistics connection not derivable properties in non-relativistic quantum field theories (NQFTs)?” It first describes the ... 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


General relativistic time

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/9780198718062.003.0019
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter discusses the transition from special relativistic (Minkowski) spacetime to general relativistic spacetimes. It reviews the concept of timelike, spacelike, and null (or lightlike) vector ... More


Minkowski spacetime

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/9780198786399.003.0019
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter presents the main features of the Minkowski spacetime, which is the geometrical framework in which the laws of relativistic dynamics are formulated. It is a very simple mathematical ... More


Accelerated frames

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/9780198786399.003.0023
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter shows how, within the framework of special relativity, Newtonian inertial accelerations turn into mere geometrical quantities. In addition, the chapter states that labeling the points of ... More


Quantized spacetime

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/9780198718062.003.0027
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter focuses on the fact that by definition, empty spacetime cannot be observed. Therefore, there is room here not only for different mathematical models of the information void (the ... More


The Einstein equations

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/9780198786399.003.0044
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter deals with Einstein equations. In the absence of matter there is no gravitational field, and the spacetime which represents this empty universe is Minkowski spacetime. More precisely, if ... More


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