Contemporary discussions of physical determinism that engage with modern spacetime and gravitational theory have typically focused on the question of the global uniqueness of solutions for initial-value problems. In this chapter I investigate the violation of local uniqueness, found in examples like Norton’s dome, which are not typically considered in light of spacetime theory. In particular, I construct initial trajectories for massive particles whose worldlines are not uniquely determined from initial data, both for a charged particle in special relativistic electromagnetism and for a freely falling particle in pure general relativity. I also show that the existence of such examples implies the violation of the Strong Energy Condition, and consider their implications for the interpretation of spacetime theory.
|Original language||English (US)|
|Title of host publication||European Studies in Philosophy of Science|
|Publisher||Springer Science and Business Media B.V.|
|Number of pages||13|
|State||Published - 2017|
|Name||European Studies in Philosophy of Science|
Bibliographical notePublisher Copyright:
© 2017, Springer International Publishing AG.
- Geodesic Motion
- Spacetime Structure
- Strong Energy Condition
- Test Particle
- Timelike Vector