> In a 2d universe objects can 'slide' past another but they could
> also be made of 'fog' and be able to slide though each other. This can
> also be pictured for the 1d case.

I think fog is "cheating".
Fog works in 3D by having parts of it which are quite solid actually
displace around the disturbing object while maintaining the illusion that
the body as a whole passes through the fog. The fog particles actually move
within the 3D system. For this to work in a 1D system is impossible as there
is no alternative available dimension to use. In 2D the objects can pass
each other by not having true simultaneously identical co-ordinates.

Another version in 3D of "passing through" occurs with eg neutrinos, and to
lesser extent other particles which genuinely pass through. BUT this is
achieved because the solid body is riddled with holes (in fact is mostly
hole). In a 2D world the equivalent is having dotted lines which can pass
through the spaces in each other.

In a 1D world there is no equivalent unless you allow them to exist and not
exist (flash on and off) but this is arguably adding a time dimension.
Arguably all system that involves movement relative add a time dimension
(either continuous or quantised into snapshots of what happens from stage to
stage) so a 1D is at least 2D etc.

In a 3D system we have "quantum tunnelling" which allows you to cheat.
mayhaps you can invoke similar in 1 1D system to allow passing.

        RM




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