Physics and spirituality: the next grand unification?
1987, Physics Education
https://doi.org/10.1088/0031-9120/22/1/002…
5 pages
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Abstract
... Physics and spirituality: ... namely that the successful applications of a particular principle are emphasised, while the situa-tions where the principle cannot be successfully applied or where there are some difficulties with the standard view are ignored or overlooked, creating thus ...
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Preface and acknowledgements page xv 2 From Ptolemy to Kepler-the Copernican revolution 2.1 Ancient history 2.2 The Copernican revolution 2.3 Tycho Brahe-the lord of Uraniborg 2.4 Johannes Kepler and heavenly harmonies 2.5 References 3 Galileo and the nature of the physical sciences 3.1 Introduction 3.2 Galileo as an experimental physicist 3.3 Galileo's telescopic discoveries 3.4 The trial of Galileo-the heart of the matter 3.5 The trial of Galileo 3.6 Galilean relativity 3.7 Reflections 3.8 References vii viii Contents 4 Newton and the law of gravity 4.1 Introduction 4.2 Lincolnshire 1642-61 4.3 Cambridge 1661-5 4.4 Lincolnshire 1665-7 4.5 Cambridge 1667-96 4.6 Newton the alchemist 4.7 The interpretation of ancient texts and the scriptures 4.8 London 1696-1727 4.9 References Appendix to Chapter 4: Notes on conic sections and central orbits A4.1 Equations for conic sections A4.2 Kepler's laws and planetary motion A4.3 Rutherford scattering Case Study II Maxwell's equations 5 The origin of Maxwell's equations 5.1 How it all began 5.2 Michael Faraday-mathematics without mathematics 5.3 How Maxwell derived the equations for the electromagnetic field 5.4 Heinrich Hertz and the discovery of electromagnetic waves 5.5 Reflections 5.6 References Appendix to Chapter 5: Useful notes on vector fields A5.1 The divergence theorem and Stokes' theorem A5.2 Results related to the divergence theorem A5.3 Results related to Stokes' theorem A5.4 Vector fields with special properties A5.5 Vector operators in various coordinate systems A5.6 Vector operators and dispersion relations A5.7 How to relate the different expressions for the magnetic fields produced by currents 6 How to rewrite the history of electromagnetism 6.1 Introduction 6.2 Maxwell's equations as a set of vector equations 6.3 Gauss's theorem in electromagnetism 6.4 Time-independent fields as conservative fields of force 6.5 Boundary conditions in electromagnetism 6.6 Ampère's law 6.7 Faraday's law 6.8 The story so far Contents ix 6.9 Derivation of Coulomb's law 6.10 Derivation of the Biôt-Savart law 6.11 The interpretation of Maxwell's equations in material media 6.12 The energy densities of electromagnetic fields 6.13 Concluding remarks 6.14 References Case Study III Mechanics and dynamics-linear and non-linear III.1 References 7 Approaches to mechanics and dynamics 7.1 Newton's laws of motion 7.2 Principles of 'least action' 7.3 The Euler-Lagrange equation 7.4 Small oscillations and normal modes 7.5 Conservation laws and symmetry 7.6 Hamilton's equations and Poisson brackets 7.7 A warning 7.8 References Appendix to Chapter 7: The motion of fluids A7.1 The equation of continuity A7.2 The equation of motion for an incompressible fluid in the absence of viscosity A7.3 The equation of motion for an incompressible fluid including viscous forces 8 Dimensional analysis, chaos and self-organised criticality 8.1 Introduction 8.2 Dimensional analysis 8.3 Introduction to chaos 8.4 Scaling laws and self-organised criticality 8.5 Beyond computation 8.6 References Case Study IV Thermodynamics and statistical physics IV.1 References 9 Basic thermodynamics 9.1 Heat and temperature 9.2 Heat as motion versus the caloric theory of heat 9.3 The first law of thermodynamics 9.4 The origin of the second law of thermodynamics 9.5 The second law of thermodynamics 9.6 Entropy x Contents 9.7 The law of increase of entropy 9.8 The differential form of the combined first and second laws of thermodynamics 9.9 References Appendix to Chapter-Maxwell's relations and Jacobians A9.1 Perfect differentials in thermodynamics A9.2 Maxwell's relations A9.3 Jacobians in thermodynamics 10 Kinetic theory and the origin of statistical mechanics 10.1 The kinetic theory of gases 10.2 Kinetic theory of gases-first version 10.3 Kinetic theory of gases-second version 10.4 Maxwell's velocity distribution 10.5 The viscosity of gases 10.6 The statistical nature of the second law of thermodynamics 10.7 Entropy and probability 10.8 Entropy and the density of states 10.9 Gibbs entropy and information 10.10 Concluding remarks 10.11 References Case Study V The origins of the concept of quanta V.1 References 11 Black-body radiation up to 1895 11.1 The state of physics in 1890 11.2 Kirchhoff's law of emission and absorption of radiation 11.3 The Stefan-Boltzmann law 11.4 Wien's displacement law and the spectrum of black-body radiation 11.5 References 12 1895-1900: Planck and the spectrum of black-body radiation 12.1 Planck's early career 12.2 Oscillators and their radiation in thermal equilibrium 12.3 The equilibrium radiation spectrum of a harmonic oscillator 12.4 Towards the spectrum of black-body radiation 12.5 The primitive form of Planck's radiation law 12.6 Rayleigh and the spectrum of black-body radiation 12.7 Comparison of the laws for black-body radiation with experiment 12.8 References Appendix to Chapter 12: Rayleigh's paper of 1900 'Remarks upon the law of complete radiation' Case Study VI Special relativity VI.1 Reference 16 Special relativity-a study in invariance 16.1 Introduction 16.2 Geometry and the Lorentz transformation 16.3 Three-vectors and four-vectors 16.4 Relativistic dynamics-the momentum and force four-vectors 16.5 The relativistic equations describing motion 16.6 The frequency four-vector xii Contents 16.7 Lorentz contraction and the origin of magnetic fields 16.8 Reflections 16.9 References Case Study VII General relativity and cosmology An introduction to general relativity 17.1 Introduction 17.2 Essential features of the relativistic theory of gravity 17.3 Isotropic curved spaces 17.4 The route to general relativity 17.5 The Schwarzschild metric 17.6 Particle orbits about a point mass 17.7 Advance of perihelia of planetary orbits 17.8 Light rays in Schwarzschild space-time 17.9 Particles and light rays near black holes 17.10 Circular orbits about Schwarzschild black holes 17.11 References Appendix to Chapter 17: Isotropic curved spaces A17.1 A brief history of non-Euclidean geometries A17.2 Parallel transport and isotropic curved spaces 19.9 The best-buy cosmological model 19.10 References Appendix to Chapter 19: The Robertson-Walker metric for an empty universe Epilogue Index * Editorial commas.

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