The Mystique of Multi-Dimensions
I hate to leave, with new readers, on a negative note. Thanks for the e-mails. I came back to the coffee shop rather bored checked with housing on a list, got to offers to move in awhile if waiting.
So, went to library to look up what is out there in parts made of various materials and tried so simplify what it was I needed on some level do deal with them. In the process I found rigid strips better to make the moulds that would make moulds as if to take from some existing form the needed accuracy.
I looked in shop windows, noted the Christian science shop with the outlined passages in the Key to Health and the Bible. This on my mind lately for it is an issue of struggle in that faith for one of my children. That and reading the link from the theoretician in Australia that emailed it to me, his name rings a bell somewhere in my encounters on the internet. He uses the world abstract maybe in an opposite way I have used it.
One idea of his is that, as if what he is talking about is to be seen concrete, a sort of action- reaction, is that things emit and receive radiation in a balance which is not abstract ideas of the conventional physics. (see my old poem, a congregation is chaos is a dissolution in cosmos- and all the logical variations of that boldly suggesting that might be seen as suggesting but one universe- hey, I was not that happy with the ending.)
But this reminds me of how Alicia Boole saw higher dimensions after playing with cubes used to memorize her Latin words. Oddly the mathematicians would consult her to verify some of their ideas in Euclidean four space and she proved right and saw things they did not. She suggested she used a process of expansion and contraction to visualize the connection of the figures.
Perhaps the Aussie has taken this as concrete as to what to us is an abstraction. I mean what is it telling us but the sense of the reality of higher dimensions or that some things can exceed our familiar reality. The process then of imagining an abstract system of physics as this one of a concrete awareness of higher spaces.
For what we hold, if indeed we can imagine all things as a Universal Mind as the only reality- that evil in this world and sickness amounts to a non-existent ground perhaps justified by our amount of faith in the principle, that these tendencies of our human mind have the force of truth by its relation to consciousness. One persons abstraction can seem to another as concrete. One mystical sense of things can be that projected from a state of mind into what is a concrete relation that draws into it a frame of reference for an extension into the wider and outside world what we experience of our own sense of awareness. We say that someone is dense. We say that someone feels their head is exploding.
Sometimes the realization of higher dimensions and the connection we so find that seems to fit an analogy fills us with a mystical vision on which that which is abstract only points to the possibility of the magic of higher space beyond the intelligible collection of relaxed and fixed objects we define for our spaces.
As Bergson pointed out... what happens when we put many peas in a ball and compress them- as far as mirrors go they form into diamond faced rhombidodecahedra. And that essential angle, now known by pressure alone and not a mystical intelligence of bees, to form the ground for their hexagonal honeycombs.
But for both the hexagonal prism and the rhombidodecahedron we note the finite symmetry compared with a sphere of such a volume. And this shows that such familiar crystal structures are really the shadows of the hypercube simply, to which we may compute the various degrees of space filling and compression. Of course it takes nine dimensions for the square things to completely fill the round things.
As far as the Aussie author goes, an attempt to try to evaluate what is explicitly a sort of creative process which he tries to put into the usual words- ideas like syzygy and the pendulum and the measure of such over distances as if gravity, (a point with the evidence of variable rates of radioactive decay the science forum seemed scandalized that I mentioned it and relegated it to philosophy) I find it amazing that another person on this earth considered "abstract" structures for the formation of solar systems which he states as 16 to my nodes of the planets- and that in the sense of all this, that is without a more modern understanding of the dimensions greater than the for- that someone else on earth suggests a limit to the elements as we know them - I myself in my free contemplation did wonder if somehow it went beyond the 120 from the 92 to come close to that idea of dimensionless constants. That is the old 137 or so.
But in the critique of others, even abstractly, we expand our own ability to see what is not fully formed in our own shared states of theory direction. Our concrete stance is like climbing a steep mountain and our footing is sufficient for our day.
As a practical thing, I have come more to see the process of candle making as not so much about the precision of surfaces working with the relaxed parts that adsorb error, nor about the holes or shadows that are like heat and time to a structure, but the soft wax itself to which we mould, and mold to our vision of space. Now all this is abstract and can be rather simple for its importance or depth of scholarship, but to take the next natural step and see the world at least as complex as she does, is not that great a leap into a little higher and useful generalizations.
There was an add on facebook today, send plans for Tesla for 47$, his secret let out as to free electricity. In such natural confusion, we evolving creatures, sometimes we sell just the hopeful wish or mystique, and that delays the better truths.
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A couple of random links now that so many find this shared interest:
http://mathoverflow.net/questions/45503/are-the-platonic-solids-shadows-of-4-polytopes
http://www.jstor.org/pss/2688637
I was thrilled to find there are some rather irregular polytopes of so many faces, one discovered as a space filler by someone working at the time with partial differential equations. I always meant to shore up some of the concepts of which I was perhaps too concrete in my concepts of angles and things to yet imagine.
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