Quantum Fractals. Geometric modeling of quantum jumps with conformal maps

Physics – Quantum Physics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Latex, 20 pages, 3 figures. Paper submitted to the Proceedings of ICCA7 - the 7th International Conference on Clifford Algebra

Scientific paper

Positive matrices in SL(2,C) have a double physical interpretation; they can be either considered as "fuzzy projections" of a spin 1/2 quantum system, or as Lorentz boosts. In the present paper, concentrating on this second interpretation, we follow the clues given by Pertti Lounesto and, using the classical Clifford algebraic methods, interpret them as conformal maps of the "heavenly sphere" S^2. The fuzziness parameter of the first interpretation becomes the "boost velocity" in the second one. We discuss simple iterative function systems of such maps, and show that they lead to self--similar fractal patterns on S^2. The final section of this paper is devoted to an informal discussion of the relations between these concepts and the problems in the foundations of quantum theory, where the interplay between different kinds of algebras and maps may enable us to describe not only the continuous evolution of wave functions, but also quantum jumps and "events" that accompany these jumps. Paper dedicated to the memory of Pertti Lounesto.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Quantum Fractals. Geometric modeling of quantum jumps with conformal maps 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 Quantum Fractals. Geometric modeling of quantum jumps with conformal maps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum Fractals. Geometric modeling of quantum jumps with conformal maps will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-419061

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.