## 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

**Unique-IP document downloads:** 210 times

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