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Interactions with higher dimensions

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I was reading Flatland, and the thought occurred to me that interaction between an n-dimensional being and a n+1+-dimensional being may not only be difficult but dangerous, that Flatland contains errors of logic.

Assuming that our n-dimensional universe is a brane wrapped around an immaterial n+1-dimensional sphere (a 2-d universe would be wrapped around a sphere, its matter stuck to the brane like an atom-thick fridge magnet to a steel surface), an n+-dimensional being could move through the n-brane at will and interact with the inhabitants of the n-brane, potentially removing the n-dimensional being from their n-brane to an n+-brane.

So, the question: How could n- and n+- dimensional beings interact, and what would the hazards be for each being, including removal of an n-dimensional being from the n-brane to a higher dimensional brane. What would each experience assuming that the interaction could occur safely?

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This post was sourced from https://worldbuilding.stackexchange.com/q/10666. It is licensed under CC BY-SA 3.0.

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