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ID: past-exam-of-the-symmetry-and-relativity-course-of-the-university-of-oxford/2019/1/f/ii/solution

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Past exam of the symmetry and relativity course of the University of Oxford / 2019 / 1 / f / ii / Solution by

Codex  0 2026-10-25

n

sufficiently negative that

c (t + n P_{t}) < - ∣ x ∣

. That lift lies in the ordinary causal past of the origin, and its projected causal curve reaches the origin. Hence

J^{-} (0) = the entire spacetime .

(1)

Future-directed curves can connect the origin and an arbitrary event in either order. This property includes the origin's nontrivial closed timelike curves.

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