Did you know that everything can be decomposed into a vector?
In theory of course.
If we were to consider any abstract object or concept, it would be a combination of different concepts, ideas, and ‘themes’. Like elements of a chemical compound. If we were to consider each of these different elements as their own dimension, then by taking a vector in the same number of dimensions as the number of distinct elements and adding the relative magnitude to each of these dimensions we could technically represent it as a vector.
Take water for example, H2O. Two parts hydrogen, one part oxygen. If hydrogen represented one dimension, and oxygen another then technically we could write water as a vector in the hydrogen and oxygen dimensions.
This is a little bit of an abstract concept that recently popped into my mind. The same way that we can embed words into vectors, perhaps other things can be as well.
I was also wondering how charge could fit into this, when I realised that charge itself could also have another dimension.
If looking at a more abstract concept, say computer science, which one could very loosely consider an offspring of mathematics and physics (there are many more components but for the purpose of simplification I’m leaving it at this). I personally, would say it is proportionally more mathematics than physics and could probably represent computer science as a vector in the mathematics and physics dimensions as:
However, since computer science itself is a very wide area, perhaps it would be better to consider it as a plane. But for this to hold true there must be certain fundamentals which constitute the base of every type of concept (for all the possible dimensions) that is attempted to be decomposed into a vector or a plane (sort of like axioms in maths). These of course, would have to be infinite, to account for the number of possible combinations which would all form their own planes or hyperplanes of existence within which lower-dimensional planes and ideas can exist and so on. For example, subject areas could be n-dimensional planes, and subsets of those areas could be n-1 dimensional planes, and single threads of ideas could be even lower dimensional planes or even lines.
Anyway thats it for my ramblings today. I’ll write for you all next time I have a burst of random inspiration.
The Neural Network 