EINSTEIN MEETS GÖDEL

Francisco Antonio Doria () and Manuel Doria ()
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Francisco Antonio Doria: Advanced Studies Research Group and Fuzzy Sets Laboratory, PIT, Production Engineering Program, COPPE, UFRJ, P.O. Box 68507, 21945–972, Rio RJ, Brazil
Manuel Doria: Advanced Studies Research Group and Fuzzy Sets Laboratory, PIT, Production Engineering Program, COPPE, UFRJ, P.O. Box 68507, 21945–972, Rio RJ, Brazil

New Mathematics and Natural Computation (NMNC), 2012, vol. 08, issue 01, 123-137

Abstract: In order to ponder the question of (space) time, we consider exotic spacetimes in the sense of differential geometry, and then present undecidability and incompleteness results about general relativity, with the nature of time and the existence of some kind of "cosmic time" as central questions. We conclude with a discussion on the possible interpretation of our results.

Keywords: Einstein; Gödel; incompleteness; time; exotic manifold (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1142/S179300571240008X

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