The one I read was a short non-fiction about thought provoking mathematical concepts. I'll have to dig it up. I really love it I can't believe I forget the name.jbriggs444 said:The one where I was first introduced to the notion of curved space was "Sphereland", I think. Possibly the same one that you are alluding to.
I thought a geodesic was a vector under the effects of a motile reference frame; in the same way that Silly Puddy stretches and droops twards the Earth's center of mass, acceleration in the (SO)3 is modified by the expansion rate of space-time, effectively creating more distance the vector must traverse, the expression of which is quadrilateral movement through orthogonal space.phinds said:I think that those of you who are insisting that things in freefall in space follow curved lines are making the mistake of applying Euclidean Geometry in a domain where it is not relevant. Yes, in Euclidean Geometry those paths ARE curved, but so what? That is utterly irrelevant because the geometry of spacetime is not Euclidean, it is pseudo-Riemannian and in that geometry the paths are geodesics, which as has already been pointed out are considered by many to be a logical generalization of "straight line".
Eric Boudreau said:I thought a geodesic was a vector
Ahhhhh, did you study math? Cause that's over my padawan math kung fu.Eric Boudreau said:I thought a geodesic was a vector under the effects of a motile reference frame; in the same way that Silly Puddy stretches and droops twards the Earth's center of mass, acceleration in the (SO)3 is modified by the expansion rate of space-time, effectively creating more distance the vector must traverse, the expression of which is quadrilateral movement through orthogonal space.