Calabi-Yau Manifolds are an interesting feature of String Theory. They are a special kind of space that can exist in the fabric of our universe, but it is difficult to imagine how they would be structured. The Calabi-Yau Manifold (CYM) is not just another shape like spherical or cube shaped. It's more than that. It has two different kinds of structures at each point: a complex structure and its opposite, called anti-structure by mathematicians.
This pair of structures together in a point is the CYM. The complex structure can be thought of as a most complex shape, which has many complicated and strange features. However, it also contains some simple aspects you might recognize from everyday life.
Imagine a long flat table, with creatures of various shapes and sizes sitting around its edges. At each point on the table's surface is a creature. The complex structure of the CYM can be thought of as this: A place where all possible creatures that could have ever lived sit at all points in space.
Now imagine that all of the creatures are facing inward towards the center of this table. Their back sides are invisible, as their faces point towards each other with no gaps between them. Now add a second layer to these creatures, and repeat what you did before by adding even more layers in levels on top of it.
This is how the CYM can be thought of. It is a place where all possible creatures that could have ever lived are placed in a special kind of space, with each layer being an extra dimension. The layers are alternating between complex and anti-structure in nature.
You might be thinking that it is impossible for a single point in space to have all of these creatures, but let me remind you that this is a CYM. It's not just one place at one time like our universe. Instead, it contains an infinite number of places at every time.
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You are getting an AI to generate text on different topics.
This is an experiment in what one might call "prompt engineering", which is a way to utilize GPT-3, a neural network trained and hosted by OpenAI.
GPT-3 is a language model. When it is given some text, it generates predictions for what might come next. It is remarkably good at adapting to different contexts, as defined by a prompt (in this case, hidden), which sets the scene for what type of text will be generated.
Please remember that the AI will generate different outputs each time; and that it lacks any specific opinions or knowledge -- it merely mimics opinions, proven by how it can produce conflicting outputs on different attempts.
Feel free to share interesting outputs to /r/philosopherAI on Reddit.
