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The road to reality : a complete guide to the laws of the universe

This guide to the universe aims to provide a comprehensive account of our present understanding of the physical universe, and the essentials of its underlying mathematical theory. It attempts to convey an overall understanding--a feeling for the deep beauty and philosophical connotations of the subj...

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Detalles Bibliográficos
Autor principal: Penrose, Roger
Formato: Libro
Lenguaje:English
Publicado: New York : Alfred A. Knopf, ©2004, 2005.
Edición:1st american ed.
Materias:
Tabla de Contenidos:
  • The roots of science
  • An ancient theorem and a modern question
  • Kinds of number in the physical world
  • Magical complex numbers
  • Geometry of logarithms, powers, and roots
  • Real-number calculus
  • Complex-number calculus
  • Riemann surfaces and complex mappings
  • Fourier decomposition and hyperfunctions
  • Surfaces
  • Hypercomplex numbers
  • Manifolds of n dimensions
  • Symmetry groups
  • Calculus on manifolds
  • Fibre bundles and gauge connections
  • The ladder of infinity
  • Spacetime
  • Minkowskian geometry
  • The classical fields of Maxwell and Einstein
  • Lagrangians and Hamiltonians
  • The quantum particle
  • Quantum algebra, geometry, and spin
  • The entangled quantum world
  • Dirac's electron and antiparticles
  • The standard model of particle physics
  • Quantum field theory
  • The Big Bang and its thermodynamic legacy
  • Speculative theories of the early universe
  • The measurement paradox
  • Gravity's role in quantum state reduction
  • Supersymmetry, supra-dimensionality, and strings
  • Einstein's narrower path: loop variables
  • More radical perspectives: twistor theory
  • Where lies the road to reality?