MoL-2019-15: O’Connell, David (2019) Lorentzian Structures on Branching Spacetimes. [Report]
Preview |
Text
MoL-2019-15.text.pdf Download (1MB) | Preview |
Abstract
This thesis investigates logical models for branching spacetimes, in the tradition started by Belnap. To get a proper generalization of Minkowski space-time that is closer to physical reality, the thesis adds to Belnap’s causal (i.e. order-theoretic) structure appropriate topological, differentiable and metric structures, and investigates the resulting setting, proving a number of interesting original results. Notably, it is shown that the Minkowskian Branching Spacetimes of Belnap’s school can be seen as non-Hausdorff, time-oriented Lorentzian manifolds in which each history is an open, Lorentzian submanifold isometric to a fixed Minkowski spacetime. The approach used in this thesis naturally lends itself to the construction of a new class of models, which are named Lorentzian Branching Spacetimes. It is shown that these Lorentzian BSTs can be constructed from arbitrary spacetimes, in such a way that many enjoyable causal properties are preserved.
| Item Type: | Report |
|---|---|
| Report Nr: | MoL-2019-15 |
| Series Name: | Master of Logic Thesis (MoL) Series |
| Year: | 2019 |
| Subjects: | Logic Mathematics |
| Depositing User: | Dr Marco Vervoort |
| Date Deposited: | 23 Sep 2019 12:00 |
| Last Modified: | 23 Sep 2019 12:00 |
| URI: | https://eprints.illc.uva.nl/id/eprint/1708 |
Actions (login required)
 |
View Item |
