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If space-time is both 4 dimensional and contains embedded regions composed of a 4D frame in which the local value of C is not the same as in the combined solution then it would follow that:
1.) Locally 4D space-time is always orientable.
2.) For a comparison on the two sub-space regions there will exist a path along which a consistant orientation cannot be defined.
3.) This makes the combined system non-orientable because through every point there will exist a path for which no orientation can be defined.

Any experiment then that probed or utilized such a path would display non-locality. To validate the non-orientation of space in regards to time all we need is one example that focuses on some point R outside of the local orientation. Such an experiment does exist in the form of quantum entanglement. A Photon, once entangled, can be moved to some point R outside of the lightcone of an event that transpires at a local point we shall call A and though after that event its normal light signal will have only reached point B, the event will effect our photon at the remote point of R. For this to take place some signal, non-orientable to time in the usual 4D format must have taken place. This implies a FTL condition for the signal to arrive at R. It also implies that at some fundamental level all points in space-time intersect with each other. If they intersect then time orientation does not exist at some fundamental level. Thus, any system of time orientation can only apply at the combined 4D space-time level or some manifold shy of the ultimate level of motion. Since that 4D level is known to be Lorentz invariant it must obey the confines of that system. Yet, those embedded sub-space manifolds will not follow that same Lorentz constraints. For the ultimate level of motion within that system since all points are connected there can be no absolute point of reference. However, in levels short of that point there can be an orientation which is itself a point of reference. If we go from that infinity to the absolute point of rest with zero motion then the two extremes of reference are zero time, since no motion equates to no time, to zero time again since all points being connected implies zero time. The universe as we know it then becomes the sum of two zeros combined together. This also establishes an experimentally supported proof that embedded sub-space regions do exist as thought of in M-Theory. This does not violate relativity in the least since those embedded regions would denote a special frame of reference different from the normal 4D Lorentz Invariant frame around us. It simply implies that our concept of a ultimate time orientation does not exist at a certain fundmental level.
Reference:
1.) http://xxx.lanl.gov/PS_cache/gr-qc/pdf/0202/0202031.pdf