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Physics for Philosophers

Craig Bourne

in A Future for Presentism

Published in print:
2006
Published Online:
January 2007
ISBN:
9780199212804
eISBN:
9780191707094
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199212804.003.0006
Subject:
Philosophy, Metaphysics/Epistemology

Discusses the Galilean transformations, and the Newtonian conception of space, time, and motion, essentials for understanding the Lorentz transformations and Einstein's special theory of relativity. ... More


Physical Relativity: Space-time structure from a dynamical perspective

Harvey R. Brown

Published in print:
2005
Published Online:
September 2006
ISBN:
9780199275830
eISBN:
9780191603914
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0199275831.001.0001
Subject:
Philosophy, Philosophy of Science

This book explores the nature of the distinction at the heart of Einstein's 1905 formulation of his special theory of relativity: that between kinematics and dynamics. Einstein himself became ... 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


GEOMETRICAL INGREDIENTS

Mathew Penrose

in Random Geometric Graphs

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198506263
eISBN:
9780191707858
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198506263.003.0005
Subject:
Mathematics, Probability / Statistics

This chapter contains some well-known deterministic geometric results for use in subsequent chapters. The Lebesgue density theorem is stated along with some of its consequences concerned with finding ... More


Models for Far-Apart Values

Norma van Surdam Graham

in Visual Pattern Analyzers

Published in print:
1989
Published Online:
January 2008
ISBN:
9780195051544
eISBN:
9780199872183
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195051544.003.0004
Subject:
Psychology, Cognitive Neuroscience

Summation experiments using patterns that are far apart along any dimension (e.g., two lines of very different orientations) can answer the question of whether there are multiple analyzers along that ... 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


Hyperbolic Dynamics and Brownian Motion: An Introduction

Jacques Franchi and Yves Le Jan

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199654109
eISBN:
9780191745676
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199654109.001.0001
Subject:
Mathematics, Mathematical Physics

The idea of this book is to illustrate an interplay between distinct domains of mathematics. Firstly, this book provides an introduction to hyperbolic geometry, based on the Lorentz group PSO(1, d) ... More


Expectations

James Davidson

in Stochastic Limit Theory: An Introduction for Econometricians

Published in print:
1994
Published Online:
November 2003
ISBN:
9780198774037
eISBN:
9780191596117
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198774036.003.0009
Subject:
Economics and Finance, Econometrics

The expectation is defined, applying integration concepts to probability measures. Leading examples are given, and the different characterizations of the expectation of a function are compared. The ... More


The space–time continuum

Louis A. Girifalco

in The Universal Force: Gravity - Creator of Worlds

Published in print:
2007
Published Online:
January 2008
ISBN:
9780199228966
eISBN:
9780191711183
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199228966.003.0014
Subject:
Physics, History of Physics

Events take place in space and time. A fundamental fact is that between any two points, another point can be found and between any two moments, there is always anther moment. There are no gaps in ... More


Background and Assumptions

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/9780199579921.003.0001
Subject:
Philosophy, Metaphysics/Epistemology, Philosophy of Science

This chapter introduces the framework for the subsequent discussion. Of special note are various assumptions adopted throughout the book. Some of them are more controversial than others and continue ... 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


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


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


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


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


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


A Geometric Strategy

John P. Burgess and Gideon Rosen

in A Subject With No Object: Strategies for Nominalistic Interpretation of Mathematics

Published in print:
1999
Published Online:
November 2003
ISBN:
9780198250128
eISBN:
9780191597138
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198250126.003.0003
Subject:
Philosophy, Logic/Philosophy of Mathematics

Develops in some detail a strategy of nominalistic interpretation that assumes that points of spacetime are legitimate, concrete, physical entities. What makes the strategy possible is the fact that ... More


Simple Models of the Casimir Effect

M. Bordag, G. L. Klimchitskaya, U. Mohideen, and V. M. Mostepanenko

in Advances in the Casimir Effect

Published in print:
2009
Published Online:
September 2009
ISBN:
9780199238743
eISBN:
9780191716461
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199238743.003.0002
Subject:
Physics, Condensed Matter Physics / Materials, Atomic, Laser, and Optical Physics

This chapter discusses several basic ideas and methods related to the calculation of the Casimir energies and forces using some simple models. The simplicity of these models means that cumbersome ... More


Against Presentism

Theodore Sider

in Four-Dimensionalism: An Ontology of Persistence and Time

Published in print:
2001
Published Online:
November 2003
ISBN:
9780199244430
eISBN:
9780191598425
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/019924443X.003.0002
Subject:
Philosophy, Metaphysics/Epistemology

The ‘B‐theory’ of time says that all temporal facts ‘reduce’ to tenseless facts about a manifold of equally real past, present, and future objects; the ‘A‐theory’ denies this reduction. Presentism is ... More


In Favor of Four‐Dimensionalism Part 1

Theodore Sider

in Four-Dimensionalism: An Ontology of Persistence and Time

Published in print:
2001
Published Online:
November 2003
ISBN:
9780199244430
eISBN:
9780191598425
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/019924443X.003.0004
Subject:
Philosophy, Metaphysics/Epistemology

Some traditional arguments for four‐dimensionalism are weak: denying four‐dimensionalism does not prohibit the application of modern logic to natural language, does not imply the A‐theory of time and ... More


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