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Is Spacetime Countable?

Authors :
Gryb, S.B.
Ngui, M.
Aguirre, A.
Foster, B.
Merali, Z.
Aguirre, A.
Foster, B.
Merali, Z.
Source :
The Frontiers Collection ISBN: 9783319129457, Aguirre, A.; Foster, B.; Merali, Z. (ed.), It From Bit or Bit From It?, pp. 153-168, The Frontiers Collection, 153-168. Berlin : Springer International Publishing, STARTPAGE=153;ENDPAGE=168;TITLE=The Frontiers Collection
Publication Year :
2015
Publisher :
Springer International Publishing, 2015.

Abstract

Is there a number for every bit of spacetime, or is spacetime smooth like the real line? The ultimate fate of a quantum theory of gravity might depend on it. The troublesome infinities of quantum gravity can be cured by assuming that spacetime comes in countable, discrete pieces which one could simulate on a computer. But, perhaps there is another way? In this essay, we propose a picture where scale is meaningless so that there can be no minimum length and, hence, no fundamental discreteness. In this picture, Einstein's Special Relativity, suitably modified to accommodate an expanding Universe, can be reinterpreted as a theory where only the instantaneous shapes of configurations count.

Details

ISBN :
978-3-319-12945-7
ISBNs :
9783319129457
Database :
OpenAIRE
Journal :
The Frontiers Collection ISBN: 9783319129457, Aguirre, A.; Foster, B.; Merali, Z. (ed.), It From Bit or Bit From It?, pp. 153-168, The Frontiers Collection, 153-168. Berlin : Springer International Publishing, STARTPAGE=153;ENDPAGE=168;TITLE=The Frontiers Collection
Accession number :
edsair.doi.dedup.....9f64faab330886446177b088387a2739
Full Text :
https://doi.org/10.1007/978-3-319-12946-4_14