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It is not the case that A 'world' must be a temporally extended structure, making reidentification over time a necessary condition for defining worlds.
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Reasons For
2 perspectives
Reason for 1 of 2
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1.
David Lewis's modal realism treats possible worlds as spatiotemporally isolated wholes, where intra-world identity tracks counterpart relations, not strict reidentification.
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2.
If counterpart theory suffices for modal predication without strict reidentification, temporal extension alone cannot ground world-individuation via reidentification conditions.
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Reason for 2 of 2
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1.
Barbour's 'timeless' interpretation of quantum gravity treats the universe as a static configuration space where time is emergent, not fundamental.
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2.
If a coherent physical world-description requires no primitive temporal extension, then reidentification over time is a derived convenience, not a necessary condition for world-hood.
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Reasons Against
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Reason against
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1.
A 'world' should be a temporally extended structure.
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2.
Reidentification over time is required for any temporally extended structure to count as a world.
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