These lecture notes were prepared for a 25-hour course for advanced undergraduate students participating in Perimeter Institute's Undergraduate Summer Program. The lectures cover some of what is currently known about the possibility of superluminal travel and time travel within the context of established science, that is, general relativity and quantum field theory. Previous knowledge of general relativity at the level of a standard undergraduate-level introductory course is recommended, but all the relevant material is included for completion and reference. No previous knowledge of quantum field theory, or anything else beyond the standard undergraduate curriculum, is required. Advanced topics in relativity, such as causal structures, the Raychaudhuri equation, and the energy conditions are presented in detail. Once the required background is covered, concepts related to faster-than-light travel and time travel are discussed. After introducing tachyons in special relativity as a warm-up, exotic spacetime geometries in general relativity such as warp drives and wormholes are discussed and analyzed, including their limitations. Time travel paradoxes are also discussed in detail, including some of their proposed resolutions.
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Bian et al., Obstacles from interstellar matters and distortion in warp drive superluminal travel scenario
Eur. Phys. J. C 82, 861 (2022) [Crossref]
Shoshany, Spin networks and cosmic strings in 3+1 dimensions
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Schweinsberg et al., Climate Change, Time and Tourism Knowledge: The Relativity of Simultaneity
Sustainability 14, 16220 (2022) [Crossref]
Hauser et al., Time travel paradoxes and multiple histories
Phys. Rev. D 102, 064062 (2020) [Crossref]
Paganini, No Events on Closed Causal Curves
Found Phys 52, 26 (2022) [Crossref]
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- Gouvernement du Canada / Government of Canada
- Ministry of Research and Innovation (Canada, Ontario, Min Res&Innov) (through Organization: Ministry of Research, Innovation and Science - Ontario [MRIS])