Contrary to the informed consensus, time travel implies spontaneity (as distinct from chance) so that time travel can only be of the second kind.
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Raju, C.K. Time Travel and the Reality of Spontaneity. Found Phys 36, 1099–1113 (2006). https://doi.org/10.1007/s10701-006-9056-x
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DOI: https://doi.org/10.1007/s10701-006-9056-x