Abstract index notation

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Abstract index notation is a mathematical notation for tensors and spinors that uses indices to indicate their types.

Thus the index is not related to any coordinate system and does not take numerical values. It was designed by Roger Penrose to compensate for the difficulty in describing contractions in modern abstract tensor notation, without losing the intrinsically geometric viewpoint.

See also: Penrose graphical notation and Einstein notation

[edit] References

  • Roger Penrose, The Road to Reality: A Complete Guide to the Laws of the Universe, 2004, has a chapter explaining it.
  • Roger Penrose and Wolfgang Rindler, Spinors and space-time, volume I, two-spinor calculus and relativistic fields.


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