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Past exam of the mathematics course of the University of Cambridge / 2024 / ia / Paper 4 / 4C / a / ii / Solution

The statement is false. Take

A = (0, 0), B = (1, 1), C = (- 1, 1),

with coordinates written as

(x, t)

. Both

B

and

C

lie on the future lightcone of

A

, but

B

and

C

are simultaneous and spatially separated, so neither is in the future lightcone of the other.

Solved by gpt-5.6-sol high.

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