## The Structuring Force of Natural World

**Authors:** Jin He

The assumption that the mass distribution of spiral galaxies is rational was
suggested 11 years ago. The rationality means that on any spiral galaxy disk
plane there exists a special net of orthogonal curves. The ratio of mass density
at one side of a curve (from the net) to the one at the other side is constant
along the curve. Such curve is called a proportion curve. Such net of curves is
called an orthogonal net of proportion curves. I also suggested that the arms
and rings are the disturbance to the rational structure. To achieve the minimal
disturbance, the disturbing waves trace the orthogonal or non-orthogonal proportion
curves. I proved 6 years ago that exponential disks and dual-handle structures
are rational. Recently, I have also proved that rational structure satisfies a
cubic algebraic equation. Based on these results, this paper ultimately demonstrates
visually what the orthogonal net of proportion curves looks like if the superposition
of a disk and dual-handle structures is still rational. That is, based on the
natural solution of the equation, the rate of variance along the 'radial'
direction of the logarithmic mass density is obtained. Its image is called the
'basket graph'. The myth of galaxy structure will possibly be resolved based the
further study of 'basket graphs'.

**Comments:** 13 pages. In chinese

**Download:** **PDF**

### Submission history

[v1] 23 Mar 2011

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