On an observer-related unequivalence between spatial dimensions of a generic Cremonian universe

Given a generic Cremonian space-time, its three spatial dimensions are shown to exhibit an intriguing, 'two-plus-one' partition with respect to standard observers. Such observers are found to form three distinct, disjoint groups based on which one out of the three dimensions stands away from the other two. These two subject-related properties have, to our knowledge, no analogue in any of the existing physical theories of space-time; yet, in one of them, the so-called Cantorian model, a closer inspection may reveal some traits of such a 'space split-up.'