David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Philosophy of Science 70 (5):1098-1113 (2003)
The possibility of time travel, as permitted in General Relativity, is responsible for constraining physical fields beyond what laws of nature would otherwise require. In the special case where time travel is limited to a single object returning to the past and interacting with itself, consistency constraints can be avoided if the dynamics is continuous and the object's state space satisfies a certain topological requirement: that all null-homotopic mappings from the state-space to itself have some fixed point. Where consistency constraints do exist, no new physics is needed to enforce them. One needs only to accept certain global topological constraints as laws, something that is reasonable in any case.
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Peter B. M. Vranas (2009). Can I Kill My Younger Self? Time Travel and the Retrosuicide Paradox. Pacific Philosophical Quarterly 90 (4):520-534.
Phil Dowe (2007). Constraints on Data in Worlds with Closed Timelike Curves. Philosophy of Science 74 (5):724–735.
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