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How do you go about constructing a truly 2 dimensional object in the first place.
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I guess you take a cube and then rotate it 90 degrees through time...
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Assigning the speed of light is just as arbitrary, it only applies in this geometry and is not a function of a normal euclidean geometry.
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molloby - I guess that's the point. Is the speed of light just arbitrary? As mentioned at the start, the whole question is predicated on the idea of time as being exactly equivalent to a spatial dimension so I'm not keen to take your 'it's just a fourth number' argument even though that's what I believe myself...