Discrete or Continuous? The Quest for Fundamental Length in Modern Physics

2015.02.29 : View this Review Online | View Recent NDPR Reviews Amit Hagar, Discrete or Continuous? The Quest for Fundamental Length in Modern Physics, Cambridge University Press, 2014, 276pp.,
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2015.02.29 : View this Review Online | View Recent NDPR Reviews Amit Hagar, Discrete or Continuous? The Quest for Fundamental Length in Modern Physics, Cambridge University Press, 2014, 276pp., $90.00 (hbk), ISBN 9781107062801. Reviewed by Vincent Lam, University of Lausanne The issue of whether space (or spacetime) is fundamentally discrete or continuous has a long and venerable history at the intersection of mathematics, philosophy and physics, and lies at the heart of the current research in quantum gravity. Amit Hagar considers several episodes of this history, from Zeno's paradox of extension to important debates in the development of quantum field theories and to the little discussed correspondence between Einstein and W. F. G. Swann, before turning to the current debate in quantum gravity. A central thesis of the book is that certain spacetime and geometrical notions such as (fundamental) length are irreducible and have to be taken as primitive, on pain of. . .

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