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That does seem to imply to me that the lowerdimensional universe is the “real” one. to clarify « Manifest Density says:
Matthew Yglesias » Is The Universe a Hologram? Should We Care?

There is a “landscape” of many possible lowerdimensional vacua, just like in string theory.

For each value that the charge can take, a slightly different lowerdimensional universe will be produced, and if there are different types of gauge fields, then universes with different numbers of dimensions will be produced as well.

A fourth source of concern relates to the intuition, implicit in Aristotle's definition, that boundaries are lowerdimensional entities, i.e., have at least one dimension fewer than the entities they bound.

Most realist theories about boundaries, construed as lowerdimensional entities, share the view that such entities are ontological parasites.

Arguably, this conceptual tension between boundaries understood as lowerdimensional entities and boundaries understood as thin layers reflects an irreducible ambiguity in ordinary speech (Stroll 1979, 1988).

Realist theories may differ significantly, however, with regard to how such dependent, lowerdimensional entities relate to the extended entities they bound (Varzi 1997).

The boundary may belong both to A and to B, but the relevant overlap is sui generis precisely insofar as it involves lowerdimensional parts.

Each boundary element, then, can be viewed as an equivalence class of converging abstractive classes, and one can reconstruct ordinary talk about lowerdimensional boundaries as talk about such higherorder entities.

The upshot is you're left with a sort of giddy paranoia: I kept on obsessively shifting into 3D, convinced there was always something I wasn't seeing from my mundane, lowerdimensional perspective.
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