Phantom surfaces are special surfaces that often exists in different group, but it holds same for all groups by a geometric connection and group systems set interactions. Phantom surfaces S||S: pi*r^2*r^3*r^4, where S||S is a hyper-sphere with nth dimensionality described with closed local surface markers as (g1.....g nth) x Area S||S group. For proper groups in which we assumed S||S is perfectly localized, then d|d and n|n groups = pi*r^2*r^3*r^4 -|S||S : -[pi*r2*r^3*r^4] Changing elements, with phantom elements also use individual local groups as by elements interpretation for it's surface. So the case of this is like: pi*S||S^2*d|d^3*n|n^4, where all the local group classes = r. In open groups, without sub classes. The phantom volume or surface forms an undefined definition on the basis of specific elements from the local groups. Similar, to projection.
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