Are the notions of past, present and future compatible with the General Theory of Relativity?
| Autor: | Sega, Daniel D., Galviz, Daniel |
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| Rok vydání: | 2020 |
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| Druh dokumentu: | Working Paper |
| Popis: | The notions of time and causality are revisited, as well as the A- and B-theory of time, in order to determine which theory of time is most compatible with relativistic spacetimes. By considering orientable spacetimes and defining a time-orientation, we formalize the concepts of a time-series in relativistic spacetimes; A-theory and B-theory are given mathematical descriptions within the formalism of General Relativity. As a result, in time-orientable spacetimes, the notions of events being in the future and in the past, which are notions of A-theory, are found to be more fundamental than the notions of events being earlier than or later than other events, which are notions of B-theory. Furthermore, we find that B-theory notions are incompatible with some structures encountered in globally hyperbolic spacetimes, namely past and future inextendible curves. Hence, GR is favorable to A-theory and the notions of past, present and future. Comment: There are some issues with the physics interpretation that leads to a wrong perception of A-theory. The authors found with correction of these issues hints that point out the fundamentality of B-theory. However, similar arguments were already pointed out in previous literature |
| Databáze: | arXiv |
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