Jones Beene wrote: > -----Original Message----- > From: Mauro Lacy > > >> Please take into account that when Hotson says 'imaginary direction' you >> > can read '4th spatial dimension'. > > Are you familiar with the Dirac concept of "reciprocal space"? >
No, but I'll read about it. Reciprocal space sounds like a mirror space to me. By example, using the fourth dimension, you can invert a tridimensional sphere without breaking it. That is, you can put the inside out and viceversa, through a rotation over a fourth dimensional space, in the same way as you can invert a bidimensional figure by rotating it in a three dimensional space. Reciprocal space then can be understood as the mirror image of a n-dimensional space, rotated in one higher (n+1) dimensional space. > ... or rather, like so many things that have been updated in order to bring > Dirac into the 21st Century, are you familiar with how this conception can > be reconciled with a '4th spatial dimension'? (even if others have rejected > that as a possible implication) > No, I'm not familiar with that at all(although I would read about it as soon as possible). Anyways, see above for a possible method of reconciliation or equivalence between these concepts. Mauro
