Images of time : mind, science, reality / George Jaroszkiewicz, The University of Nottingham, UK.

Format:

Book

Author/Creator:

Jaroszkiewicz, George, author.

Language:

English

Subjects (All):

Time--Mathematical models.

Time.

Metaphysics.

Physical Description:

xvi, 305 pages : illustrations ; 25 cm

Edition:

First edition.

Place of Publication:

Oxford : Oxford University Press, 2016.

Summary:

Provides a broad survey of many of these views, these Images of Time, covering historical, cultural, philosophical, biological, mathematical and physical Images of Time, including classical and quantum mechanics, special and general relativity and cosmology.

Contents:

1 Introduction : Plan of this book

What is time?

Paradigms

Events in time

Temporal ordering and time labels

The contextuality of temporal ordering

Arrows of time

Arrows versus cycles. 2 Observers and time : Introduction

metaphysics, physics, and validation

Observers and the physical universe

The contextuality of scientific truth

Contextual completeness

Time and contextuality

The contextuality of the existential quantifier

Primary observers

experiments

Heisenberg cuts

Generalize propositions. 3 Subjective images of time : The Greeks

The dogmatists

The sceptics

The Age of Reason

The classical mechanists

The metaphysicists

The mathematical physicists. 4 Cultural images of time : Cosmogony and theogony

Stone Age calendars

The Mesopotamians

The Middle east

The Europeans

Eastern philosophies

Australian Aboriginal concepts of time

The Central Americans

The Far East. 5 Literary images of time : Introduction

Literary varieties. 6 Objective images of time : Introduction

Optics

Other factors

Time in the laboratory

Laboratory frames and observer choruses

Chorus protocol

Superobservers. 7 Mathematical images of time : Introduction

Some reasonable requirements

Sets

Temporal ordering and ordered sets

Functions and the mathematical arrow of time

Cardinality

The natural numbers

Linear continua

Further concepts. 8 Illusionary images of time : The Block Universe

Persistence and transtemporal identity

The problem of time in cosmology. 9 Causal images of time : Introduction

Causality

Blame and responsibility

Determinism and known unknowns

Teleology

Chaos. 10 Physics and time : Physics and persistence

Scales of time. 11 Biological time : Introduction

The solar model

Lifetimes of organisms

Chronobiology

Biological time travel. 12 The dimensions of time : Introduction

Partial differential equations and the flow of information

The signature of spacetime

Empirical studies. 13 The architecture of time : What is temporal architecture?

Examples of temporal architectures

Architectural levels of observation. 14 Absolute time : Introduction

Clocks

The reparameterization of time

Absolute space

Aristotelian space-time versus Galilean-Newtonian space-time

Particle worldlines

The Newtonian mechanical paradigm

The Euler-Lagrange mechanical paradigm

Phase space

Canonical transformation theory

Infinitesimal transformations. 15 The reparametrization of time : Introduction

Temporal parametrization

Temporal reparametrization

Action integrals

Temporal reparametrization in detail

Reparametrization form invariance

The extended equations of motion

Transformation to phase space

Reparametrized primary identity. 16 Origins of relativity : Inertial frames

The speed of light and Galilean transformations

The Michelson-=Morley experiment

FitzGerald length contraction

Derivation of FitzGerald length contraction

FitzGerald time dilation

Lorentz transformations. 17 Special relativity : Lorentz transformations

Simultaneity in special relativity

Time dilation

The clock hypothesis

The Twin Paradox

Lightcones

The Klein-Gordon equation

The causal propgation of special relativistic fields

Fock-Kemmer front velocity and the memory field. 18 Generalized transformations : Introduction

Constraints

The Michelson-Morley constraint

Some standard transformations

The splitting of causality

Empirical evidence for a preferred frame. 19 General relativistic time : Space-time versus spacetime

Lorentzian signature metrics

Pseudo-Riemannian manifolds

The Schwarzschild metric

Gravitational time dilation

Black hole geometry

The spinning disc. 20 Time travel : Introduction

Information flow

Tachyons

Spreadsheet time travel

The Gödel metric

Timelike geodesics. 21 Imaginary time : Introduction

Minkowski's imaginary time

Application to wave mechanics

Propagators and Green's functions

Path integrals

Quantum gravity

Quantum thermodynamics

Black home thermodynamics

Quantum cosmology

Conclusions. 22 Irreversible time : Introduction

Glauber's correlations

Probability

The expansion of the universe

Poincaré recurrence. 23 Discrete time : Introduction

Difference equations

The action sum

Caldirola's proper time chronon

Caldirola's microverse model

Discrete-time classical electrodynamics. 24 Time and quanta : Introduction

Schrödinger versus Heisenberg

de Broglie waves

The time-energy uncertainty relation

The relativistic propagator. 25 temporal correlations : Introduction

Classical bit temporal correlations

Quantum bit temporal correlation

Understanding the Leggett-Garg prediction. 26 Time reversal : Introduction

classical active time reversal

Schrodinger wave mechanics

THe time-reversal operator

The Pauli equation

The Dirac wave equation

TCP theorem

Kaons. 27 Quantized spacetime : Introduction

Mach's relationalism

Einstein's relationalism

Planck, quanta, photons, and existence

Snyder's quantized spacetime. 28 Epilogue. Appendix : Sets

Groups

Metric spaces

RIngs and fields

Vector spaces

Hilbert space

Observables

Antilinear and antiunitary operators

Affine spaces

Manifolds

Signature

Variational derivation of Einstein's field equations from the Hilbert action

Doppler shifts. Bibliography

Index.

Notes:

Includes bibliographical references (pages 289-299) and index(es).

ISBN:

9780198718062

0198718063

OCLC:

920454182