Progress in Mathematical Physics

Time

Poincaré Seminar 2010

Editors: Duplantier, Bertrand (Ed.)

  • Presents an interdisciplinary view of the concept of Time
  • Contains a contribution of the 2010 Fields medalist Cedric Villani in English and French
  • Addressed to both physicists and mathematicians
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About this book

This eleventh volume in the Poincaré Seminar Series presents an interdisciplinary perspective on the concept of Time, which poses some of the most challenging questions in science. Five articles, written by the Fields medalist C. Villani, the two outstanding theoretical physicists T. Damour and C. Jarzynski, the leading experimentalist C. Salomon, and the famous philosopher of science H. Price, describe recent developments related to the mathematical, physical, experimental, and philosophical facets of this fascinating concept. These articles are also highly pedagogical, as befits their origin in lectures to a broad scientific audience. Highlights include a description of the manifold fundamental physical issues in play with time, in particular with the changes of perspective implied by Special and General Relativity; a mathematically precise discussion of irreversibility and entropy in the context of Boltzmann's and Vlasov's equations; a thorough survey of the recently developed “thermodynamics at the nanoscale,” the scale most relevant to biological physics; a description of the new cold atom space clock PHARAO to be installed in 2015 onboard the International Space Station, which will allow a test of Einstein's gravitational shift with a record precision of 2 × 10-6, and enable a test of the stability over time of the fundamental constants of physics, an issue first raised by Dirac in 1937; and last, but not least, a logical and clarifying philosophical discussion of ‘Time's arrow’, a phrase first coined by Eddington in 1928 in a challenge to physics to resolve the puzzle of the time-asymmetry of our universe, and echoed here in a short poème en prose by C. de Mitry.

This book should be of broad general interest to physicists, mathematicians, and philosophers.

Table of contents (6 chapters)

  • Time and Relativity

    Damour, Thibault

    Pages 1-17

  • (Ir)reversibility and Entropy

    Villani, Cédric

    Pages 19-79

  • (Ir)réversibilité et entropie

    Villani, Cédric

    Pages 81-143

  • Equalities and Inequalities: Irreversibility and the Second Law of Thermodynamics at the Nanoscale

    Jarzynski, Christopher

    Pages 145-172

  • Time Measurement in the XXIst Century

    Salomon, Christophe

    Pages 173-186

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-0348-0359-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-3-0348-0358-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
price for USA
  • ISBN 978-3-0348-0766-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Time
Book Subtitle
Poincaré Seminar 2010
Editors
  • Bertrand Duplantier
Series Title
Progress in Mathematical Physics
Series Volume
63
Copyright
2013
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel
eBook ISBN
978-3-0348-0359-5
DOI
10.1007/978-3-0348-0359-5
Hardcover ISBN
978-3-0348-0358-8
Softcover ISBN
978-3-0348-0766-1
Series ISSN
1544-9998
Edition Number
1
Number of Pages
XII, 215
Topics