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Images of time : mind, science, reality / George Jaroszkiewicz, the University of Nottingham, UK.
Author
Jaroszkiewicz, George
[Browse]
Format
Book
Language
English
Εdition
First edition.
Published/Created
Oxford : Oxford University Press, 2016.
©2016
Description
xvi, 305 pages : illustrations ; 24 cm
Availability
Available Online
Oxford Scholarship - Oxford University Press: Physics
Copies in the Library
Location
Call Number
Status
Location Service
Notes
Firestone Library - Stacks
BD638 .J37 2016
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Lewis Library - Stacks
BD638 .J37 2016
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Details
Subject(s)
Time
—
Mathematical models
[Browse]
Metaphysics
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First philosophy
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Summary note
Images of Time covers historical, cultural, philosophical, biological, mathematical and physical Images of Time, including classical and quantum mechanics, special and general relativity and cosmology.
Bibliographic references
Includes bibliographical references (pages 289-299) and index.
Contents
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
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
Generalized propositions
Subjective images of time. The Greeks
The dogmatists
The sceptics
The Age of Reason
The classical mechanists
The metaphysicists
The mathematical physicists
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
Literary images of time. Introduction
Literary varieties
Objective images of time. Introduction
Optics
Other factors
Time in the laboratory
Laboratory frames and observer choruses
Chorus protocol
Superobservers
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
Illusionary images of time. The Block Universe
Persistence and transtemporal identity
The problem of time in cosmology
Causal images of time. Introduction
Causality
Blame and responsibility
Determinism and known unknowns
Teleology
Chaos
Physics and time. Physics and persistence
Scales of time
Biological time. Introduction
The solar model
Lifetimes of organisms
Chronobiology
Biological time travel
The dimensions of time. Introduction
Partial differential equations and the flow of information
The signature of spacetime
Empirical studies
The architecture of time. What is temporal architecture?
Examples of temporal architectures
Architectural levels of observation
Absolute time. Introduction
Clocks
The reparametrization 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
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
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
Special relativity. Lorentz transformations
Simultaneity in special relativity
Time dilation
The clock hypothesis
The Twin Paradox
Lightcones
The Klein-Gordon equation
The causal propagation of special relativistic fields
Fock-Kemmer front velocity and the memory field
Generalized transformations. Introduction
Constraints
The Michelson-Morley constraint
Some standard transformations
The splitting of causality
Empirical evidence for a preferred frame
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
Time travel. Introduction
Information flow
Tachyons
Spreadsheet time travel
The Gödel metric
Timelike geodesics
Imaginary time. Introduction
Minkowski's imaginary time
Application to wave mechanics
Propagators and Green's functions
Path integrals
Quantum gravity
Quantum thermodynamics
Black hole thermodynamics
Quantum cosmology
Conclusions
Irreversible time. Introduction
Glauber's correlations
Probability
The expansion of the universe
Poincaré recurrence
Discrete time. Introduction
Difference equations
The action sum
Caldirola's proper time chronon
Caldirola's microverse model
Discrete-time classical electrodynamics
Time and quanta. Introduction
Schrödinger versus Heisenberg
de Broglie waves
The time-energy uncertainty relation
The relativistic propagator
Temporal correlations. Introduction
Classical bit temporal correlations
Quantum bit temporal correlations
The Leggett-Garg correlation
Understanding the Leggett-Garg prediction
Time reversal. Introduction
Classical active time reversal
Schrödinger wave mechanics
The time-reversal operator
The Pauli equation
The Dirac wave equation
TCP theorem
Kaons
Quantized spacetime. Introduction
Mach's relationalism
Einstein's relationalism
Planck, quanta, photons, and existence
Snyder's quantized spacetime
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.
Show 186 more Contents items
ISBN
9780198718062
0198718063
LCCN
2015949945
OCLC
920454182
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Images of time : mind, science, reality / George Jaroszkiewicz.
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