The Uncanny Precision of the Spectral Action

  title={The Uncanny Precision of the Spectral Action},
  author={Ali H. Chamseddine and Alain Connes},
  journal={Communications in Mathematical Physics},
Noncommutative geometry has been slowly emerging as a new paradigm of geometry which starts from quantum mechanics. One of its key features is that the new geometry is spectral in agreement with the physical way of measuring distances. In this paper we present a detailed introduction with an overview on the study of the quantum nature of space-time using the tools of noncommutative geometry. In particular we examine the suitability of using the spectral action as an action functional for the… 
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