What is the relationship between e and phi?
Sorry I missed this [interesting question!]
"...The implications of this are many. First and foremost the general property of
e seems to be to split a complex function into its component, out-of-phase vectors. In this case, it does by factoring 1 and Phi into separate functions (notice that both integer (B) portion and Phi portion (A) are each multiplied by their own summations beginning with out-of-phase generations). Obviously
e also does this in Euler’s Formula between the imaginary number
i and 1. This is made evident by the following graphic:.."
http://vixra.org/pdf/1110.0045v1.pdf
BTW, notice in that graphic [Graphic 5] in that paper that what we see in nature is a
projection of what is going on in a higher dimensional space - in my opinion in markets as well as in nature ("empty" space) they are
spinors. That is almost certainly true in markets as well,
what we see as price/volume playing out is a much higher dimensional action of some possibly infinite [Lie] group. It is the reason why
eigen vectors/values are so important to physics and market models. When that projection is a
Linear Lie Group, I believe technical analysis charting
can work. But that is the exception, not the rule. A
headfake is price action that is probably riding on a
Mobius group.
In a sense, this could be taken as an atom unit of thought as to Ilinski's "markets are essentially electrodynamics":
http://arxiv.org/pdf/cond-mat/9806138.pdf