Knowledge Geometry Is Similar to General Relativity: Both Mass and Knowledge Curve the Corresponding Spaces

In this paper, we explain and explore the idea that knowledge is similar to mass in physics: similarly to how mass curves space-time, knowledge curves the corresponding knowledge space. 1 Knowledge Geometry How to detect that two objects are different? Let us start with the following sample situation. To observe wild parrots, an ornithologist sets up a feeder. Every morning, a parrot appears, and every evening, a parrot appears. These two parrots look similar. A natural question is: is the same parrot coming in the mornings and in the evenings, or these are two different parrots? Natural idea: observe properties. A natural way to answer the above question is to observe various properties of these two parrots. For example, if the morning parrot has a red spot, and the evening parrot does not, this means that they are different birds. If the wing span of evening parrot is smaller than the wing span of the morning parrot, they are different birds. Without losing generality, we can consider binary properties. In general, properties can be of binary (yes-no) type, e.g., “has a red spot”. We can also consider numerical properties like the wing span. In the computer, whatever information we have can be represented in terms of binary digits (bits), i.e., in terms 0s and 1s: • on the one hand, the property of having or not having a red spot is represented by a single bit;