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February 17th, 2014, 06:01 AM   #1
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Fractal dimension of snowflake falling into black hole

Water forms fractal crystals with a continuous range of fractal dimension.

A snowflake which freezes at height x above Earth compared to height x+epsilon will have a fractal dimension continuously different as the spherical electron cloud of hydrogens moves along the gamma function, which defines the surface/volume of n-spheres for any n continuously. Relativity is defined in terms of the surface area of a hypersphere embedded in the surface of another hypersphere. Instead of a tensor matrix (stress energy tensor, metric tensor, or something like that I think its called) the curve of spacetime is represented as the fractal dimension of a snowflake as it would move on a path integral.

The path integral is like a double slit except instead of 2 slits a snowflake is continuously a fractal. If you let it freeze while shining a laser through it like a fractal slit, it will freeze into a different fractal dimension which is tuned to the frequency of that laser.

Similarly, a snowflake which freezes while current through an electric wire near the snowflake, then the snowflake is an inductor.

If you then stop pushing the current and raise or lower the snowflake, where there are slightly different than 3.0 dimensions, either its temperature or current in that direction will be pushed.

A snowflake is piezoelectric when moved as a fractal all its branches at once the same way, because this changes its fractal dimension.

Amount of dimension is mass. We see this in black holes.

A snowflake moved relative to another snowflake are length contracted by changing their fractal dimension.

2 snowflakes which freeze while spinning opposite directions near eachother are entangled and will transfer a small amount of angular momentum when you push on one, to the other.

A snowflake that freezes while falling into a black hole is spaghettified by its normal process of changing fractal dimension, up to a point, and then the atoms its made of get further spaghettified because the universe at the deepest level is 0 dimensional.

A slightly spaghettified snowflake that freezes to near absolute zero will push to hold its amount of dimension and resist falling.

A grid of snowflakes precision built using other snowflakes is a kind of computer and can construct any arbitrary shape of the unified field by using Simulated Annealing theory as in boltzmann machines, except its real annealing which was originally about using temperature to shape metal. Such a grid of snowflakes can construct more snowflakes for any statistical calculation, done by pushing and pulling on eachother through "empty" space, a low energy warp field.

Fractal dimension is always aligned to direction of gravity, and recursively the twist and affine transforms of space near the root of the fractal.

The mass of planets can be measured by the difference in fractal dimension in various branches of the fractal. If it was falling into a black hole, it would all be about the same fractal dimension because a black hole is mostly a point.

DNA molecules have gone through double slit.

If you send a snowflake through the fractal slit of another snowflake, what would happen?

If grids of snowflakes dont construct more snowflakes, then why does it keep snowing for some time after it starts?

Research of http://en.wikipedia.org/wiki/Masaru_Emoto shows connection between shape of water crystals and brainwaves of people near it while freezing. This is caused by annealing as in boltzmann machine theory. Just think of the brainwaves like an AM radio transmitter where frequency is instead the entire brainwave shape instead of the 1 dimensional kind. Nobody calls it magic when an Emotiv Epoc or OpenEEG mind reading game controller sends your thoughts through a wireless network router. Since the zeta function contains all smooth shapes (map of complex number to complex number) to arbitrarily high accuracy somewhere, and is a fractal, and is the sum of negative powers of all integers (pascals triangle, the sum of C^2 coin flips each as -1 or 1 has standard deviation exactly C) those integers are either number of coin flips (size of pascals triangle row) or the bell curve in its center (something around those parts of the math)... the shape of every brainwave you've ever thought is in the zeta function somewhere, and the shape of every snowflake fractal is also in there somewhere, therefore thought equals form.

Thought equals form because there is a continuous path between every shape of brainwave and object in the world, and also a path from that brainwave shape to any more abstract wave shape which doesnt have to be made of biology. Many people think quantum computers calculate real worlds instead of just simulating them. I dont see the difference, but a world of these small number of bits I'd say is more of a number or word than anything potentially intelligent or alive. A thought is whatever math that brainwaves and AI are a kind of. If the particles in the computer or your brain were not a real form, then you wouldnt be thinking anything.

But I wouldnt call a bunch of randomness intelligent thought. A computer calculates? Or does a computer think? Does a virtualization layer in a computer think? Does it have form? These questions are meaningless since its all wave shapes in some combination.

So the distance function is somewhere near the combination of the gamma function and zeta function. Gamma is surface/volume of n-sphere for continuous n. Zeta is the wave view, a unitary map between complex manifolds. 1^(1/(2*pi)) is a superposition of the entire unit complex circle for the same reason 1^(1/4) has 4 solutions: -1 1 i -i, and 1^(1/17) has 17 solutions evenly spread on the complex unit circle. RSA rotates around 1^(1/(p*q)), something about the chinese remainder theorem which I dont much understand except that it may be related to the twin primes row number in pascals triangle row numbers and that each row in pascals triangle sums to a power of 2 (because it branches 2 ways up or 2 ways down)... I can almost categorize RSA, but I think cold fusion would be easier than integer factoring. At least then you don't have to factor anything bigger than the quanta numbers in the periodic table and momentum and angle quanta. Thats not what I would be thinking about with all this math so close to fitting together. If cold fusion was dangerous, it wouldnt be cold, would it? The radiation would warm you up. So it can only be cold if you trade temperature for something else, like fractal dimension or electric current or a large spread out angular momentum field (like the snow flakes rotating opposite directions) or any other common shape we call reality. I'd instead call cold fusion a time crystal, something there are serious theories about building one. A time crystal repeats in time instead of just space. Its a loop or a fractal. If a snowflake gradually became a time crystal, it would cover dimensions to infinity but really spread out because its just a small massenergy. A time crystal fractal snowflake is a superposition, not an explosion. Double slit also branches as a fractal because bell curves and waves are both made of bell curves and/or waves. The fourier of a bell curve is another bell curve. You'd probably just splash the snowflake on wherever it lands, and by splash I mean like a liquid but still arriving frozen in a different fractal shape.... a mass wave that fractal rotates as its waving around, and by fractal rotate I mean zeta function. Gamma function is the n-sphere view. Newtonian gravity and electric force are sphere. Relativity is recursive sphere. Zeta is the odd parity between, the alternating dimensions. Capacitor and inductor networks 1/x = ... 1/y + 1/z vs linear sum, covers each of capacitor inductor and resistor but they've got it swapped between parallel and series circuits in those 3 views. w^(-2 or -1 or 0 or 1 or 2) = ... x^(-2 or -1 or 0 or 1 or 2) + y^(-2 or -1 or 0 or 1 or 2) + z^(-2 or -1 or 0 or 1 or 2). Negative exponent gets you newtonian gravity outside the sphere. Positive exponent describes the sphere from inside. Odd powers are for capacitor and inductor and resistor circuits in series and parallel combinations. -3 and 3 and higher, I don't know what that would mean. The circuit wave equations should use zeta, and the gravity equations gamma. Gravity can therefore be inducted through circuits, which we see in quasars (ring singularity, rotating black hole), and as confirmation there is a serious theory out there that moving through the ring moves you really far or faster than light or something they said like that. Its a spacetime inductor. I wouldnt recommend moving through an inductor, because inductors resist change, so unless you are already there before you arrive you are making a change, pushing a hump in the field through after its been smooth. So to resist change, it might spread you across its 2 ends as gamma rays, or it might be smooth like a particle moving through an inductor, or as a soliton wave it may stretch and branch you by its number of turns it makes while you're going through, so using that the fourier of a bell is another bell, the quasar in that case would appear to travel with you, so you would get higher frequency and therefore speed. I'm really not sure how it fits together at such a depth, just that zeta and gamma and pascals triangle and a few other kinds of math are its parts.
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February 17th, 2014, 11:13 AM   #2
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Re: Fractal dimension of snowflake falling into black hole

After thinking more about it and the various small simulations of the pieces of math (interactive visual is best), I've simplified that mess of details...

Capacitor, inductor, and resistor in combinations of series and parallel circuits, time symmetric as an undirected graph with scalar edge weights constrained to each range 0 to 1 and per node sum to 1, which is called a symmetric Stochastic Matrix, are descriptions of solutions to how the edge weights can be.

Each node in a clique has the same weight with each other node in that clique, which can be modified by adding a multiple of any path which covers all nodes once and has the same weight on each of those edges, and can also be modified by a multiple of any clique cover, and recursively in any clique of even size (boson because it slides easy) without consideration of whats outside the clique there can be recursive clique cover by choosing any pairing of the nodes in the clique, or if the clique size is divisible by x and y you have a clique cover x cliques and y loops around them (or the reverse y and x), or anything else proven equal to NP Complete will be found in a symmetric stochastic matrix.

A rotating black hole (quasar, subject of penrose process) is a loop of cliques which each overlap the next and previous on most of the nodes and gradually as they get farther away (angle on complex unit circle) the cliques overlap eachother on less nodes.

If you circuit in series to all those partially overlapping loop of cliques then you have edges to all of them and will get the same sum regardless of its angle because its (biggerSetOfNodes choose cliqueSize) as pascals triangle calculates.

If you circuit in parallel you will see the rotating black hole as an oscillation because you can only see part of it at a time.

Series is a timeless concept that means AND.

Parallel is a timeless concept that means OR.

Resistor is a timeless concept that means 1^(1/2) which has the solutions -1 and 1 in the context of zigzagging back and forth from the top of pascals triangle. Branching to both childs of a pascals triangle cell is series because series is AND. They must both be crossed. The rows of pascals triangle are parallel because as long as you move left the same number of times (and therefore also right the complement number of times), you arrive at the same cell on a chosen row number. The leftmost diagonal direction is all 1s. Next is counting 1 2 3 4... Next are the triangle numbers which are the quantity of edges in an undirected graph. Next is the number of triples, which counts faces on a sphere viewed as 4 points and 4 triangles between them. Pascals simplex proves this is the topology of n-sphere as you count higher. A clique is a cliqueSize-1 sphere which is how many edges each node in the clique has. A single node (clique size 1 if we were not doing it as undirected graph so no self edges) is a 0-sphere which has the equation x^2 = radius^2. A 1-sphere has the equation x^2 + y^2 = radius^2. You keep adding x y z ... as many sphere dimensions as you want.

The 2 nearly touching metal plates in a capacitor are parallel of many points on each plate.

The coils of an inductor are parallel in how field doesnt care which time around its just a field in that general area. Those same coils are series in how each particle must cross every coil, literally the series of points in the wire thats coiled.

Pascals triangle branching left and right repeatedly is a resistor in how it generates bell curves by random movement. Anything which had solved constraints while using an edge to any such randomness will find their constraints have that much error added, and since by definition the constraints are always solved (else they wouldnt be constraining the stochastic matrix) anything which causes them not to be solved resists flow through that path.

I'm not saying we can efficiently simulate every part of this, or maybe we can, but the point here is the equation of parallel and series circuits of inductors capacitors and resistors describes these edge weights when the undirected graph is viewed as parallel, series, and resistors in a multiverse of possible ways. For example, the rotating black hole is farther away from those who view it as in total multiplied by a smaller fraction, compared to others who only solve their constraints when its larger or when their edges to it are only to some parts (edge value is less to/from those others in the loop of partially overlapping cliques).

The equation is repeated different ways for inductors capacitors and resistors in parallel and series at http://en.wikipedia.org/wiki/Series_and ... l_circuits and that equation in general form is self^(-1 or 1) = x^(-1 or 1) + y^(-1 or 1) + ... (the same exponent for all of them, so sum linearly or use sum of inverses)

The penrose process acts on the loop of partially overlapping cliques to cause the angle (which of the cliques on the loop?) to move slower (as others with varying edges to the rotating black hole must sync with else be out of sync with who does the penrose process), or if outside observers have parallel connection to the penrose doer and the rotating black hole then by enclosing surface whatever happens inside the surface has no effect on the outside observer because it only changes edge weights inside that set of nodes. Outside observers only see the rotating black hole slow down after the doer of penrose process gets far enough away from it to be entangled with the outside observers edges. By entangled I mean that randomizing 1 will cause a balancing change in the other, but not necessarily any specific balancing change since there are many solutions in a symmetric stochastic matrix.

The universe can be viewed as a clique cover where edge weights in each clique are 1/(cliqueSize-1) or path covering all nodes and 1/2 edge weight, which is an NP Complete string, or any other view of NP Complete of which many have been proven interchangible.

But how do I draw it on screen? I'll stick with the original simple goal of simulating ball lightning (and later fractal snowflake). The sphere surface will have to form on its own somehow, but at least now I know to use capacitor inductor and resistor in parallel and series circuit equation, double slit being parallel before the slit (choose any or some of each) and series through it (choose both) or the opposite which is series before the slit (conserves flow since it must go through all of them individually) and parallel through it (choose either slit or a fraction of both, total flow is series with before it split and after it hits back wall). In the middle it may be a combination of series and parallel, but its series to the extent you detect it on back wall, so a series of smaller circuits each constrained to conserve flow. Delayed Choice Quantum Eraser is a resistor where its observed in the future because such observation changes a parallel (could have gone either way(s)) to a series (the universe is only consistent if it happens as observe here in the future) so the earlier double slit gets its parallel and series swapped (remember I said it could be either way before vs during the slits), and exactly how it keeps swapping recursively I'll have to explore in simulation but the general way it puts a bell curve statistic on back wall is pascals triangle (bell curve by repeated coin flips) and wave through both slits statistics on back wall is rotation by capacitor (which I think of as xor in the time view and inductor in how it resists change to the charges on each metal plate).

The entire data structure is an undirected graph with scalar weights between each pair of nodes. Anything else would be to paint it onto a 2d screen of pixels and get the mouse to drag things around, which is really hard since you can't have 2 dimensions unless you derive them as mapping combinations of nodes and edges to parts of the screen.
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