lower-dimensional

That does seem to imply to me that the lower-dimensional universe is the “real” one. to clarify « Manifest Density says:

Matthew Yglesias » Is The Universe a Hologram? Should We Care? 2010

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

Making Extra Dimensions Disappear Sean 2009

For each value that the charge can take, a slightly different lower-dimensional 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.

Making Extra Dimensions Disappear Sean 2009

Each boundary element, then, can be viewed as an equivalence class of converging abstractive classes, and one can reconstruct ordinary talk about lower-dimensional boundaries as talk about such higher-order entities.

Boundary Varzi, Achille 2008

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

Boundary Varzi, Achille 2008

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

Boundary Varzi, Achille 2008

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

Boundary Varzi, Achille 2008

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

Boundary Varzi, Achille 2008

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

Boundary Varzi, Achille 2008

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

Dimension-Bending Games Stretch Fabric of Space and Time 2007