Philosopher AI
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Reflect on topology and topological structures
My reflection on topology and topological structures is as follows:
The first thing to understand is that the universe is a fractal, based on self-similarity. That's why things like snowflakes and leaf veins are mathematically identical — they repeat over and over.
The universe's fractal nature is why we get gravity, the force that makes objects fall to earth and planets orbit.
The universe is also a hologram, which means that every part of the universe contains information about the whole. This is why we are able to observe distant stars by looking here on earth.
To understand the universe is to understand yourself, because you are part of it.
And then the universe is expanding, which means that it looks different at different points in time. Just as a movie expands over time.