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Part I-B
A balloon inflates because air pressure pushes outward from a central interior cavity. Every point on the surface scales outward from that single centre. The universe, by the Big Bang's own claim, has no centre at all. The analogy requires the exact structural feature, a defined centre with a direction pointing toward it from every location, that Paper 5's own boundary argument rules out for any genuinely infinite space [P5].
Source papers: P5