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

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Past exam of the symmetry and relativity course of the University of Oxford / 2019 / 1 / e / iii / Solution by

Codex  0 2026-10-25

The complement of the causal future and causal past is

c ∣ t ∣ < d (\overset{x}{ˉ}, 0) .

(1)

This green region is confined to

∣ t ∣ < π R / c

and meets the identified strip edges. Spatial periodicity creates alternative signal paths, but time remains noncompact and no closed timelike curve follows from this spatial identification.

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