First I want to say thanks to Street Dog for helping direct me to the following wiki: renormalization. I must say I am having a hard time following most of it, and am hopeful he will give us a simple translation, but it is where my latest inquiry in understanding fractals has arrived. It has generated the following thoughts on the drive home from work this morning.
Fractals are formed when chaos is broken and symmetry (or cooperation) is created (and/or vice versa)- hat tip SD. Further, this time or moment or space (or whatever you want to call it) of fractal formation- what I will hence forth refer to as "the time of the fractal"- is a very special time/moment/space/event/period/epoc/region/etc...
For if you think about it, this time of the fractal has been called many things by many people in many languages from many viewpoints since language and thought was first introduced.
If you are not following me, a few examples may jog your neurons: phase transition(s), boundary condition(s), time of change(s), moment of transformation(s), point of conversion(s), etc...
Are you getting the idea?
Anyway, as additional background, we know the conservation of energy implies that in a closed system, everything is connected to everything else. For discussion purposes on this post, we will pretend the universe is a closed system... Yes, yes, I can already hear some of you complaining, especially with the universe expanding at an accelerated rate and all. I want you to know I hear your concerns (these are simply thoughts after all), but we need to create some boundary conditions to the discussion in order to even have a discussion so let's keep it to a static universe just to make it simple.
Further, if you think about it, everything connected to everything else also implies a kind of infinite network between everything and everything else. Of course the links in this (infinite?) network are hard for most of us to see...
So anyway, we have an infinite network in a closed system, and we further have smaller boundary conditions within this network, and then a change happens from at least one viewpoint- voila! We have fractals!
And this is where we get back to the theory of renormalization.
For if something changes in a closed system- e.g. symmetry is either broken or created (really can be either and probably the creation of one means the creation of the other), a break in symmetry must be felt everywhere else.
Really another viewpoint on zero-sum so nothing special here, but here is where I am going:
Does this mean the newest element in the periodic table, humanium, is subject to the same laws as every other element in the periodic table?
When humanium moves from one boundary condition (or phase transition) to another, will it display the same wave-particule duality we see with every other element in the periodic table?
Does humanium display quanta properties? e.g. individual properties?
Does humanium display wave like properties? e.g- collective/cooperative properties?
Neuroanatomist Jill Taylor suggests it does
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