all of that is a result of similar principles. dual earth theory answers problems with the classical flat earth model (circumpolar stars, daylight, flight times), and doesn't rely on fantasy assumptions such as the round earth's dark matter, gravity and air.
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When you say "doesn't rely on," it sounds to me like "runs as quickly as possible in the other direction from, for the sake of avoiding round earth principles simply because they are 'round earth principles.'" Would this be a correct assumption? And did you say air? Oh dear.