Relativity without Spacetime

In 1908, three years after Einstein first published his special theory of relativity, the mathematician Hermann Minkowski introduced his four-dimensional "spacetime" interpretation of the theory. Einstein initially dismissed Minkowski's theory, remarking that "since the mathematicians have invaded the theory of relativity I do not understand it myself anymore. Les mer
Vår pris
1350,-

(Paperback) Fri frakt!
Leveringstid: Usikker levering*
*Vi bestiller varen fra forlag i utlandet. Dersom varen finnes, sender vi den så snart vi får den til lager
På grunn av Brexit-tilpasninger og tiltak for å begrense covid-19 kan det dessverre oppstå forsinket levering.

Paperback
Legg i
Paperback
Legg i
Vår pris: 1350,-

(Paperback) Fri frakt!
Leveringstid: Usikker levering*
*Vi bestiller varen fra forlag i utlandet. Dersom varen finnes, sender vi den så snart vi får den til lager
På grunn av Brexit-tilpasninger og tiltak for å begrense covid-19 kan det dessverre oppstå forsinket levering.

Om boka

In 1908, three years after Einstein first published his special theory of relativity, the mathematician Hermann Minkowski introduced his four-dimensional "spacetime" interpretation of the theory. Einstein initially dismissed Minkowski's theory, remarking that "since the mathematicians have invaded the theory of relativity I do not understand it myself anymore." Yet Minkowski's theory soon found wide acceptance among physicists, including eventually Einstein himself, whose conversion to Minkowski's way of thinking was engendered by the realization that he could profitably employ it for the formulation of his new theory of gravity. The validity of Minkowski's mathematical "merging" of space and time has rarely been questioned by either physicists or philosophers since Einstein incorporated it into his theory of gravity. Physicists often employ Minkowski spacetime with little regard to the whether it provides a true account of the physical world as opposed to a useful mathematical tool in the theory of relativity. Philosophers sometimes treat the philosophy of space and time as if it were a mere appendix to Minkowski's theory. In this critical study, Joseph Cosgrove subjects the concept of spacetime to a comprehensive examination and concludes that Einstein's initial assessment of Minkowksi was essentially correct.

Fakta

Innholdsfortegnelse

Introduction

Chapter One: A Critique of Minkowski Spacetime

Part I: The Concept of Minkowski Spacetime

Chapter Two Minkowski's "Space and Time"

2.1 Minkowski and Goettingen Science

2.2 "Space and Time," Sections I and II

2.3 "Space and Time," Section III

2.4 "Space and Time," Section IV

Chapter Three Special Relativity and Spacetime

3.1 The Concept of a Continuum

3.2 The "Geometry of Spacetime": Graphs and Images

3.3 The Role of Invariance in Special Relativity

3.3.1 Invariance and Frame-Independence

3.3.2 Invariance and the Clock Paradox

3.4 Transition to Part II: Conceptual Difficulties of Minkowski Spacetime and the Need for a Historical Approach

Part II: The Symbolic-Algebraic Constitution of the Concept of Spacetime

Introduction to Part II The Concept of a Sense-History

Chapter Four The Historical Sense-Structure of Symbolic Algebra

4.1 The Concept of Number in Greek Mathematics

4.1.1 Arithmetical Operations in Euclid

4.1.2 The Concept of Ratio in Euclid

4.1.3 Arithmetic and Geometry in Euclid

4.2 Algebraic Equations in Greek Mathematics: Diophantus of Alexandria

4.2.1 The Concept of Number in Diophantus

4.2.2 Algebraic Calculations with "Species"

3.3 Modern Symbolic Algebra

4.3.1 Vieta's Reinterpretation of Diophantine Species

4.3.2 Vieta's Law of Homogeneity and the Symbolic Concept of Number

4.3.3 Vieta's Algebra as Mathesis Universalis

4.4 Descartes and Symbolic Space

4.4.1 Geometrical Representation of Numerical Operations

4.4.2 Symbolic Interpretation of Geometrical Magnitude

4.4.3 Symbolic Space

Chapter Five The Historical Sense-Structure of Modern Algebraic Physics

5.1 Pre-Algebraic Physics in Galileo

5.2 The Assimilation of Algebra into Physics

5.3 Case Study: Newton and Quantity of Motion

Chapter Six Desedimentation of Minkowski Spacetime

Part III General Relativity without Spacetime

Chapter Seven The Irrelevance of Minkowski Spacetime in General Relativity

7.1 Tensor Calculus and "Geometrical Objects"

7.1.1 Tensors as Ratio-Compounding Machines

Om forfatteren