Aristotelean Straight-to-Round Phase Transition in Regular Solid Space Matrix Realizes Lie Algebra Dynamical System Reproducing Full Elementary Particle Spectroscopy
by
Erik Trell
Professor Emeritus, University of Linköping, Se-581 83 Linköping, Sweden.

ABSTRACT

Aristotle stated that “everything that comes to be comes into being from its contrary” and found “contrary to circular, a straight line”. Hence he envisioned an all-pervading dynamical phase transition system of primary structure, corresponding to the “new class of geometrical transformations” disclosed by Marius Sophus Lie in 1871 and embodied already by the ancient regular solids. From non-being’s very simplest antipodal ground materialization, existence’s infinitely extended and infinitesimally partitioned straight line, these unfold a coherent functioning Universe under further perpetual attraction by the Idea of the alternative, spherically harmonic form of absolute endlessness. The cubical eigen-space and eigen-elements are the parental state and frame, and the other solids, formed via equilateral triangles or pentagons instead of squares, are a range of transition matrix elements and portions adapting to the spherical root vector symmetries and so reproducing the elementary particle spectroscopy, including a modular, truncated octahedron nano-composition of the electon, which piecemeal enters into molecular structures or compressed to each other fuse into atomic honeycombs of periodic table signature.

Date received: May 2, 2007

Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caun-18.