Understanding fourier transform through the back door haha
I don't know, but putting the pieces together is so fun. Recently I found what diffraction actually is, how it relates to interference, and simultaneously Gaussian standard distribution was stuck in my mind. Interestingly I have been playing with Fibonacci numbers and the result just looks like probability distributions of the double slit experiment/ diffraction-interference pattern. Haha
Maybe I'm just being silly, but it is so neat to find similar patterns all over again and again.
It also fits with the animations I have in my imagination, which might make sense of - yes - quantum mechanical behavior in general. Regarding elementary particles as a dynamical information geometry makes more and more sense the more I dig deeper into the underlying issues.
It might make sense in my concept of 'information weaving' and butterfly progression (self-interference pattern) and might also allow a concept of a certain space-time loop (similiar like ones imagined in loop quantum gravity). It may sound like a fusion of LQG and string theory in some sense. But the only principle I took from string theory was the uttermost basic definition relating to the fractal-like pattern of nestedness/recursion (The attributes of elementary particles have to stem from an inner principle). Unlike in string theory, the "strings" (which are also responsible for the attributes of elementary particles in my interpretation) are no physical elements in my hypothesis, merely a weaving of mathematical information. Physical reality can be regarded as a certain weaving sequence of mathematical information, hence quantum mechanical superposition and entanglement can be regarded as a moment when mathematical reality weaves itself, (self-interference). One might consider information weaving as weaving of imaginary numbers. To follow the beauty and elegant simplicity of the imaginary number system it makes sense that an imaginary mathematical reality can turn into a real physical reality, as every second power of i is a real number.
Furthermore it might also explain what the wave function and especially its collapse actually is. The wave function collapse is the self-interference. And interestingly, if we consider emergence as a factor we can also say that elementary particles "emerge" their attributes with every interaction/interference; Much like a chaos attractor whose deviations from the mean get smaller and smaller and emerge to a binary more deterministic bahavior, leading to the efficiacy of the laws of classical mechanics.
