In reply to Robin van Spaandonk's message of Monday, June 07, 2010 6:51 PM
While two particles might share a common value for specific coordinate in a
higher dimension, that doesn't mean that they are in any way adjacent as in
close together. In any *orthogonal* multidimensional system, the shortest
distance between two points is still a straight line. If they are separated by a
given distance in three dimensions, then their separation in higher dimensions
must be at least the same (and may be greater, since their separation in three
dimensions may be only a projection in three dimensions of their separation in
higher dimensions).
Robin,
I agree going from cubic measure to quadric measure should at least
square the available space in the universe like going From flatland square
measure to 3D cubic measurement but it may not be that cut and dry. First there
are string theories that suggest a 4th spatial dimension exists in a rolled up
form invisible at our macro perspective which might complicate the minimal
spacing of the "projections" you mentioned above. Second, this higher dimension
may be temporal instead of spatial which makes distance meaningless. I also
have to question what physical (or more likely nonphysical) properties are
shared in these higher dimensions ... How far does a particle project into
these dimensions and how deep into the projections can we push the entanglement
holding two particles in "correlation"? A physical equivalent would be 2 rod
like extensions from this higher dimension terminating as 2 particles in our
plane - we can't see the rods but they would remain at least the same distance
apart in their dimension as they do in our plane. If these
2 rods become entangled the question is can the rods pivot? The fact that the
Chinese have managed to teleport this "correlation" 9.9 miles suggests that
some mechanism does exist.
Regards
Fran
