In reply to Roarty, Francis X's message of Mon, 07 Jun 2010 10:41:55 -0400: Hi, [snip] > >ON Mon, 07 Jun 2010 06:37 Mauro Lacy said > >If for "adjacent" you mean that at least one of the coordinate values that >define the position of the particles in a given higher dimensional >manifold are the same for both particles, the answer is yes. I suppose >that could be named "dimensional adjacency", "hyper dimensional >adjacency", or something like that. > > Mauro, > Yes that is what I meant but I used the term "adjacent" to > avoid any suggestion that particles might violate the physical property of > occupying the same point at the same time. Even though we are talking extra > dimensions (of space and or time) I was being cautious and knew a sender and > receiver only needs to be local so I took the path of least controversy. >Best Regards >Fran
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). Regards, Robin van Spaandonk http://rvanspaa.freehostia.com/Project.html
