tag:blogger.com,1999:blog-4225396254468964978.post2038128130208006858..comments2016-06-30T17:32:15.895-07:00Comments on YayGrrrr — Praises and Rants for the New Millennium: It's orthogonal, dammit!larryyhttp://www.blogger.com/profile/18095770060709072865noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-4225396254468964978.post-33390837272988608452010-02-26T23:04:40.914-08:002010-02-26T23:04:40.914-08:00Your first observation is how I think physicists c...Your first observation is how I think physicists currently imagine events to have unfolded (and folded :)). Your second observation is more in line with what I had in mind... Orthogonal should really mean orthogonal. If you tilt that ruler so it lies along the fourth dimension you might see only a cross section of it (since we can't perceive that fourth dimension), just the way the residents of Flatland would see only the outline of a ruler poking through their world and aligned with the third dimension, perpendicular to their world. Maybe I've read too much science fiction in general and Rudy Rucker in particular, but I don't have much trouble imagining additional dimensions. I even have what I think is a pretty unusual take on the idea that might be suitable for a science fiction story of my own, but who knows if it'll ever get written, sigh.larryyhttp://www.blogger.com/profile/18095770060709072865noreply@blogger.comtag:blogger.com,1999:blog-4225396254468964978.post-22347677449589993002010-02-26T22:44:53.508-08:002010-02-26T22:44:53.508-08:00Perhaps in the beginning, right after the big bang...Perhaps in the beginning, right after the big bang, while 3 of the spatial dimensions grew to astronomical size, others were compactified; so the higher dimensions may be compact like a circle or ellipse with a very small size.<br /><br />We can see the 3 independent directions of 3D space by examining the corner of a room. Any other direction in 3D space is a linear combination of x,y and z, i.e; ax+by+cz, where a,b,c are any scalars. It’s not possible to orient a ruler perpendicular to all three edges at the corner of a room. If it is perpendicular to two edges, it would be parallel to the third. But if it could move in the fourth dimension we could get the ruler perpendicular to all three edges and meeting at a corner of a 3D room. The ruler would then be parallel to the 'fourth direction'. A particle that travels in 4D space, for example, can move along any linear combination of four independent directions. In addition to moving north/south & east/west, there is a fourth direction in the 4D space perpendicular to each of these other directions.Nhttp://www.blogger.com/profile/17284884166502589014noreply@blogger.com