Turn Based Q&A: colour
So I was just considering the idea of color (really any wavelength/frequency combination here) for light. I touched on Euler's Identity in the initial post for this turn based model for reality, and I have seen a visualization of the equation where it essentially spirals through time, leaving a corkscrew pattern which is uniform in radius, but that uniform circle is in the complex plane, so the value oscillates from 1 to -1 and from i to -i over a full rotation, in a smooth way to form the circle as e proceeds larger and larger. It is interesting to me that this equation in its normal form is equal to zero, yet the equation can be pictured in this way if seen in a complex set of dimensions. It always struck me as a really fancy way of saying zero, like that which we accounted for as nothing in our reality was actually quite beautiful in a complex way, we just didn't have the perspective or knowledge to perceive it.
I was thinking about light moving through essentially complex space to produce all of its effects (pocket dimensions and our primary dimensions), and I was trying to picture how color might work in this, or really how any frequency/wavelength combination might work. In current models, it doesn't seem like there is a great answer for how light does what it does, instead it is taken as a given. It is known that if light possesses different values of these two things it will appear differently to the observer, by sight or by measurement, but I do not get the sense sense that how light is moving through our space in a waveform is really understood, there are simply calculations to say that it is doing so.
Combining the ideas of frequency, wavelength, and complex space, what if the motion of light did have to follow a set path of motion (which would make sense because what could actually be changing its momentum in this complex dimensional model?)? In that case the pocket dimensions would need to be set up in such a way that its normal and constant path (as opposed to its entangled path) would manifest as different to us, based on how the light entered the pocket dimensions initially, but that we would always see it traveling at the same speed here regardless of which of these paths was taken (which would work if pocket timelines had been established precisely in concert). There is still some filling in to do here, but I was thinking that there might be a relationship in Euler's Identity, using that assumption as a base, between when the equation moves fully to the "1" position (12 on the clock as it corkscrews) and when it moves to the "i" position (3 on the clock). Now I am starting to realize why time is not a component in the equation, because this motion would all be happening in the absence of time, as if the entirety of the corkscrew would play out in our universe, be accounted for, and then the "turn" would end, leading to the same thing being done in the next turn. What if the space between these two positions of 1 and i could be perceived, and in fact the particulars of that gap is what we are observing when seeing anything? I am essentially picturing that the information for frequency and wavelength would be embedded with how the light is entering and exiting our dimensions, which could be seen like the positions on the Euler's Identity clock, when it emerges into "real" space from our perspective. It may be that for red it shows up at 1:11 on the clock, for green at 1:13 and blue at 1:15, to use, top of my head, not mathematically specific, examples. It could also be that each type of light threads to the surface multiple times during each clock quadrant, but it does feel like one complete turn on the clock might represent one "turn" in circular time, which is to say the entire timeline of one pocket dimension, before the next is accounted for. Essentially we are getting quite a bit of information from the complex set of dimensions each turn in this way, and light is essentially illuminating the underlying pocket dimensions for us by revealing a part of their geometry. Where as in "real" space, in each case, you have a photon moving along that can be measured as such. This would be a way of explaining the wave/particle duality of light and, if examined by an expert, possibly of electrons as well.
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