Solar Centered Logarithmic Map

Click to see the original image.

Inner solar system is more dense than outer part, so logarithmic map is popular for universe illustration. But there is a common mistake in many logarithmic maps, like this one:

an example of logarithmic map with common mistake

Think about this question: where is the right place for a sun probe whose distance from the sun less than 0.1 AU (say, 0.02 AU) in the map?

The key problem is the fact: log(0) = -∞，so maybe we simply cannot plot the sun in the map? Yes, certainly we can. And even more, by logarithm we can plot the entire universe into a finite map. After all, all quantities in physics are finite.

Let’s begin from the planck length.

^{[1] [2] [3] [4] [5]}

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1. Considering the T-duality, space in scale less than 1 planck length may be equal to that greater than 1 planck length (R <=> 1/R). So God may be homeless in that case. ↩︎

2. The vast blank area hints that the present theory may omit some significant existences. ↩︎

3. Notice that woman is on the right, so she is taller in fact. ↩︎

4. I bet you live here now. ↩︎

5. Here I adopt the theory of Eternal inflation ↩︎