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Pointless spaces in general relativity

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Abstract

A new approach to quantize gravity based on the notion of differential algebra is suggested. It is shown that the differential geometry of this object cannot be described in terms of points. A spatialization procedure giving rise to points by losing part of the entire structure is discussed. The counterparts of the traditional objects of differential geometry are studied.

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Authors and Affiliations

  1. Friedmann Laboratory for Theoretical Physics, SPb UEF, Griboyedova 30/32, 191023, St-Petersburg, Russia

    G. N. Parfionov & R. R. Zapatrin

Authors
  1. G. N. Parfionov
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  2. R. R. Zapatrin
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Parfionov, G.N., Zapatrin, R.R. Pointless spaces in general relativity. Int J Theor Phys 34, 717–731 (1995). https://doi.org/10.1007/BF00671019

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  • DOI: https://doi.org/10.1007/BF00671019

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