Images of time : mind science reality 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 Minkowskis imaginary time Application to wave mechanics Propagators and Greens functions Path integrals Quantum gravity Quantum thermodynamics Black home thermodynamics Quantum cosmology Conclusions. 22 Irreversible time : Introduction Glaubers correlations Probability The expansion of the universe Poincaré recurrence. 23 Discrete time : Introduction Difference equations The action sum Caldirolas proper time chronon Caldirolas 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 Machs relationalism Einsteins relationalism Planck quanta photons and existence Snyders 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 Einsteins field equations from the Hilbert action Doppler shifts. Bibliography Index 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