tag:blogger.com,1999:blog-6167285773245449447.post7708016409237927843..comments2017-02-15T02:01:52.018-08:00Comments on New Empiricism: Some notes on projective geometryThoughtshttp://www.blogger.com/profile/17866896441731516034noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-6167285773245449447.post-86673435536876679112014-06-23T13:11:56.584-07:002014-06-23T13:11:56.584-07:00The solution to this question may come by examinin...The solution to this question may come by examining the real number of terms we are using in the discussion and calling them out as actual dimensions. The author of this article talks about more than one extra time dimension occurring with three dimensions of space, saying it is allowable to consider past and future time dimensions as well as the present. Our real experience is that time has varying rates of passage relative to velocity and gravitational placement. It also has varying intervals or periods as a result. These time dimensions; period, passage and present are evidence that time adds three more dimensions to the three of space. We should also consider that time and space are useless if we don't have anything in it to measure. The stuff in space/time is what is of most concern. That is matter, or mass, and energy. Mass and energy must come into contact or neither of them is important either. In other words their interaction, which is the dynamic of the universe, is what we observe. That makes three more dimensions; mass, energy and their interaction (momentum or acceleration) are necessary to complete the physical structure of the universe. These are the nine terms used in calculating everything we know. There is however an important fact the author brings up which must be included in order to grasp the whole picture. The observer's relationship to the observed and to another observer, in position, trajectory and relative velocity will reveal different information about the observed. This means that observation also has a three dimensional requirement making the universe look the way it does to us. That is a total of twelve dimensions, no more and no less will work. How these dimensions fit together may be described geometrically in the model of a regular tetrahedron. Each of the four three dimensional entities; space, time, energy and observer consist of a tripod configuration. Each has a vertex (common point) with a joining edge connecting to another entity's vertex. This model has six edges with a dimension concurrent with each of the other entities. And although it doesn't look like it at first glance, Pythagorean math still works in this model, from the projective point of view. The complete paper about this model titled "As Simple as Possible" will be available soon. asapAnonymousnoreply@blogger.com