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Images of time : mind, science, reality

Author: George Jaroszkiewicz
Publisher: Oxford : Oxford University Press, 2016. ©2016
Edition/Format:   Print book : English : First editionView all editions and formats
Summary:
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.
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: George Jaroszkiewicz
ISBN: 9780198718062 0198718063
OCLC Number: 920454182
Description: xvi, 305 pages : illustrations ; 24 cm
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.
Responsibility: George Jaroszkiewicz, the University of Nottingham, UK.
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This book reviews a great range of Images of Time, that is, theories of time, from a diversity of perspectives: historical, religious, biological, mathematical and scientific. It trains the reader to  Read more...

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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 G\u00F6del 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 -- Poincar\u00E9 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 -- Schr\u00F6dinger versus Heisenberg -- de Broglie waves -- The time-energy uncertainty relation -- The relativistic propagator -- Temporal correlations. 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