Title: Nature's Most Fundamental Geometry Post by: rloldershaw on April 04, 2011, 11:27:33 PM There is a far simpler, and more physically-motivated, paradigm for understanding nature than is provided by loop quantum gravity, supersymmetry or string/brane theory. In terms of pure geometry, nature's geometry is full conformal geometry (no absolute lengths; relativity of scale). However, when matter and dynamical laws are included, the full conformal symmetry is "broken" and restricted to discrete conformal invariance. Space-time and gravitation are fully consistent with General Relativity (actually, GR+EM) at all cosmological Scales, but the strength of the coupling between matter and space-time geometry scales in a discrete self-similar manner. This results in a discrete self-similar structure and dynamics for nature, as is observed. A discrete fractal paradigm. This alternative paradigm (Discrete Scale Relativity) has been available for decades: http://www3.amherst.edu/~rloldershaw http://arxiv.org/a/oldershaw_r_1 RLO |