Nature's Most Fundamental Geometry

[rloldershaw]

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