Cremonian Space-Time(s) as an Emergent Phenomenon

Details Cremonian Space-Time(s) as an Emergent Phenomenon Cremonian Space-Time(s) as an Emergent Phenomenon

2004-02-19

arxiv.org/abs/physics/0402097v1

Chaos, Solitons and Fractals 23 (2005) 645-650

Physics

General Physics

5 pages, no figures, submitted to CSF

Scientific paper

It is shown that the notion of fundamental elements can be extended to_any_, i.e. not necessarily homaloidal, web of rational surfaces in a three-dimensional projective space. A Cremonian space-time can then be viewed as an_emergent_ phenomenon when the condition of "homaloidity" of the corresponding web is satisfied. The point is illustrated by a couple of particular types of "almost-homaloidal" webs of quadratic surfaces. In the first case, the quadrics have a line and two distinct points in common and the corresponding pseudo-Cremonian manifold is endowed with just two spatial dimensions. In the second case, the quadrics share six distinct points, no three of them collinear, that lie in quadruples in three different planes, and the corresponding pseudo-Cremonian configuration features three time dimensions. In both the cases, the limiting process of the emergence of generic Cremonian space-times is explicitly demonstrated.

Affiliated with

Also associated with

No associations

Rating

Cremonian Space-Time(s) as an Emergent Phenomenon does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Cremonian Space-Time(s) as an Emergent Phenomenon, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cremonian Space-Time(s) as an Emergent Phenomenon will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-214301