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目次情報: 続きを見る

A The essentiality of : existence

B Existential insecurity and : gravity

C Existential inconstancy and : relativity

D Hypothetic : existence

E Actuality of a mass : point

F Actuality of two mass : points

G Basic : propositions

H Special relativity and Lorenz : function

A The essentiality of : existence

B Existential insecurity and : gravity

C Existential inconstancy and : relativity

目次情報: 続きを見る

Acknowledgements

Preface

Are fashion, faith, or fantasy relevant to fundamental science?

Fashion / 1：

Mathematical elegance as a driving force / 1.1：

Some fashionable physics of the past / 1.2：

Particle-physics background to string theory / 1.3：

The superposition principle in QFT / 1.4：

The power of Feynman diagrams / 1.5：

The original key ideas of string theory / 1.6：

Time in Einstein's general relativity / 1.7：

Weyl's gauge theory of electromagnetism / 1.8：

Functional freedom in Kaluza-Klein and string models / 1.9：

Quantum obstructions to functional freedom? / 1.10：

Classical instability of higher-dimensional string theory / 1.11：

The fashionable status of string theory / 1.12：

M-theory / 1.13：

Supersymmetry / 1.14：

AdS/CFT / 1.15：

Brane-worlds and the landscape / 1.16：

Faith / 2：

The quantum revelation / 2.1：

Max Planck's E = hv / 2.2：

The wave-particle paradox / 2.3：

Quantum and classical levels: C, U, and R / 2.4：

Wave function of a point-like particle / 2.5：

Wave function of a photon / 2.6：

Quantum linearity / 2.7：

Quantum measurement / 2.8：

The geometry of quantum spin / 2.9：

Quantum entanglement and EPR effects / 2.10：

Quantum functional freedom / 2.11：

Quantum reality / 2.12：

Objective quantum state reduction: a limit to the quantum faith? / 2.13：

Fantasy / 3：

The Big Bang and FLRW cosmologies / 3.1：

Black holes and local irregularities / 3.2：

The second law of thermodynamics / 3.3：

The Big Bang paradox / 3.4：

Horizons, comoving volumes, and conformal diagrams / 3.5：

The phenomenal precision in the Big Bang / 3.6：

Cosmological entropy? / 3.7：

Vacuum energy / 3.8：

Inflationary cosmology / 3.9：

The anthropic principle / 3.10：

Some more fantastical cosmologies / 3.11：

A New Physics for the Universe? / 4：

Twistor theory: an alternative to strings? / 4.1：

Whither quantum foundations? / 4.2：

Conformal crazy cosmology? / 4.3：

A personal coda / 4.4：

Mathematical Appendix / Appendix A：

Iterated exponents / A.1：

Functional freedom of fields / A.2：

Vector spaces / A.3：

Vector bases, coordinates, and duals / A.4：

Mathematics of manifolds / A.5：

Manifolds in physics / A.6：

Bundles / A.7：

Functional freedom via bundles / A.8：

Complex numbers / A.9：

Complex geometry / A.10：

Harmonic analysis / A.11：

References

Index

Acknowledgements

Preface

Are fashion, faith, or fantasy relevant to fundamental science?

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