Monday, September 29, 2014

Force coupling constant and sphere packing

Alpha here is the called the fine structure constant in physics, e is electric charge. As you can see, its purpose is to estimate the perfect sphere by estimating pi.
This is easy to understand from maximum entropy considerations. The proton needs to match the band limit of light to the quant ratio so that pi is maximally accurate.  It only knows pi as a rational fraction.

The way I work the problem is that there exists an angle x such that tanh(n*x),  are linear for n=1,2,3.

Anyway, these angles are multiples of the log of the exponent in the quant ratio.  The maximum Compton matchi is at wave 91, and 3/2 * 91 = 137.5.   And
4/3 * 137 gets you to 182 where I find a near perfect Compton match with ratio 3/2 at 216.  Coincidence?  Well, I am using the first Lagrange,Phi, and 3/2 is a known ratio for sphere packing. So I am going to find these matches.  The question is, does the vacuum count the same way my spread sheet does? This makes 182 the band limit of light, as an exponent of phi, much higher than I would thing.

As an angle on the hyperbolic then the universe counts from pi/2 (not including pi/2)  by sixths, a quadratic root for each of three cubic roots.

Why I use exponents:

 I cheat, I approximate values using Phi, which nature does not know.  But I cheat and get the property to the left. So when the physicists report a prime number, then they have cancelled common terms, and I know the number they report is a common multi0ple, so I know how far up the Fibonacci chain the universe has gotten.  I do not find Fibonacci numbers, but I look for Fibonacci exponents.  This is primitive, yes, but good enough for me.  The real step is finding the ultimate rational ratio that the unioverse has settled on to approximate pi and e. That is not a Phi thing, but a sphere thing, and the numbers keep coming back to about 2/3 or 3/4, I dunno. The length of the power ies the universe uses seem to be about 6, but as combi8nations of two and three, that comes to a 12-16 bit computer.

How is the universe so stable then? It has matches the relative bubble sizes in the salad bowl to a 12 bit computer. The real stability comes from having the bandwidth of light match the sphere, allowing motion between unit spheres. The real trick of the universe is to recycle the vacuum bubble, polish them up, resize them, and recycle them.

Sunday, September 28, 2014

Wythoff arrays can pack sphere

Here I am working with a rational ratio and arranging packs of quants thare are  exponents of that ratio= r. I am limited to two a few exponents at any level of the sphere, and I have to be hyperbolic.  The circles sum the (1/r) and outside the circle I have motion as r So I have the worm gear evvect, the circles are tracking sum (1/ratio) = 1 and exchange r with the exterior. But volume to area reaches a critical point going from the perimeter to the center, so I jump to the next row of the Whythoff array:
 Anyway, this is where I am at.  I got here my messing with recursions and discovered the Wythoff did that for me.  The balance is matching motion and unit circles going toward the center, and switching to the next row at the critical moment.  The Wythoff work because they are minimally redundant, one can make the most quants with the least redundancy. Hyperbolics and finite differences and finite sums of local aggregates are the way to go.

So, all you sphere packers, carry on! I am trying to stop this, really, but it has become a sort of fun compulsion.

Saturday, September 27, 2014

Local knowledge

Consider a local element in an aggregation with no global knowledge which moves toward minimum density.   It has no uniform knowledge of any dx, and can only make globally stable movements if all elements were of standard size and queued up fairly.  Normally elements avoid queueing and that makes spheres happen as queuing decreases toward the perimeter.

It is not sufficient for all elements to be the same size, they also need to have the same time constant in their movements. Otherwise unnecessary movements starts, and that is not maximum entropy. So element size and time constant have to be equalized.

Now, what happens if there is no optimum move? The element still needs to maintain time constant and will make a random move, I would think. The element itself must always have a self induced imbalance so that its current position in not optimum.

Do these exchanging elements  pack spheres better than the inerts? I would think so, I would think that aggregating empty positions allows more packing by movement, though I cannot prove this. If I had to prove this I would look at a perturbed system, one not in equilibrium. Then, stable configurations must come and go  as it moves toward equilibrium.

If movements are quantized, then is their a background grid system?  Not if the elements are making moves in the second differential and are perturbed.  So empty space is sub optimal, entropy is not always increasing in a static discrete space.

The last point is why any system needs inert nulls plus one active element.  How many other elements does the system need? As many as needed to work the differential order.  If the perturbations are not linear, then a single active element results in repeated movements, entropy is not increasing.

Friday, September 26, 2014

More games with spheres

I am having fun with recursive sequences and their values of cosh and sinh at multiples of the basic angle.  I made a recursion that generate powers of 3/2. And that led me to t6hinking about sphere packing.

My current observation is that is it done in repeats of two actions. A quadratic root adjusts sphere area and a cubic root adjusts volume. So we have the proton doing cubic, then quadratic, then cubic, then quadratic then cubic.  That is why we get this 3*2*3*2*3 = 108. The system is making every grid as a sphere, then adjusting for surface area, then making spheres out of that, and so on.

Each of the adjustments is an additional set of marks on the measuring stick.

Anyway, I am playing with multiples of angles when the starting angle is the solution to a recursion. The sinh and cosh are simply the two components of a quadratic root so solutions at angles by 2 are just a power series in the quadratic root.

Thursday, September 25, 2014

Games I am playing with recursive sequences and hyperbolics

Consider r1=3/2+sqrt(5)/2 and r2=3/2-sqrt(5)/2.   The sum is 3 and their product is one.  I get these values from Phi^2 + Phi^-2.

Take the log(r1) = a and then sinh(a) = sqrt(5)/2. Cosh(a) = 3/2. Tanh(a) = sqrt(5)/3. Hence Phi = 1/2+3*tanh(a)/2 =  1/2 + sinh(a).
Then (Phi)^n = Fn*(1/2+3*tanh(a)/2) + Fn-1 for example. and any (3/2)^n = Cosh(a)^n.

Also the derivative of the tanh will  be 1/cosh(a)^2. Neat stuff.  Is this ratio the reason I got the match at Phi^91 and (3/2)^108? Yes, but I caused the ration because I sorted the powers of Phi and 3/2. Hence I forced this angle, I did a Higgs mechanism on my spread sheet. Now I can work all the orbitals using shifted powers,  just like Higgs, and I can change the ratios r1 and r2.

Thuis idea that light is a bubble exchange with two bubble type swapping places with Higgs nulls is correct.  The shift  I see to get the ratio is charge and spin, and all the properties the Standard model has.

So think of it this way.  Light knows a match radius must be three, it is simply working with Higgs to find a grid size agreement that make the radius three, which it must be at the match point. Higgs and light doing the Lattice QCD for real. These shift in the phase difference between the light bubbles will stabilize then their rate of change can be contained by Higgs bubbles. That determine a unit circle. They can all be calculated using hyperbolic differential wave equations, I think. The phase shifts increase toward the center of  the packed sphere and that add angular motion to the degrees of freedom.

This angle is log(sqrt(5)/2 + 3/2.  That is about ,96 radians. Cannot find it on any map, I am still a little befuddled about where these angles are measured from. And I still think my choice for the Higgs bubble size was mostly luck and guessing. I never actually measured one of them.

There is one better recursive relationship

Phi makes the small and large light bubbles to distant. So I tried this:

r -1/r = 1/2  or r = 1/4+SQRT(17)/4 . This actually worked and makes the proton.electron mass much more accurate, 17*108 = 1836.  It also makes sense since a half shift is r^2 + r.  Log(1836,(r^2+1/r)) = 17/2. Sort of a bingo and a half shift is spin. And the Higgs bubbles do not come out so large, and the light bubble are a reasonable  So, I am looking at these bubble sizes for sphere packing. The hyperbolic angle is .2475, and sinh(a) = 1/4 and cosh(a) = sqrt(17)/4.

So the current plan. We have a measuring stick on the left, measuring the two active bubbles. We design it to count in a way that matches the inactive bubble on the right.  I can make any form of 2/3, 3/2, 3/4; to match some criteria represented by a ratio of grid sizes, using sinh(a). Then have fun with tanh, and read lots of papers by mathematicians doing tanh solutions.

Constraints are boundaries on the null grid, written in cosh as fraction and define null quants at the hyperbolic angle specified by the measuring stick. So my constraint is that null bubble be 3/2 times the measuring stick. We can still formulate (3/2)^n, easy enough, so we still get the dandy match at 108, and now I got a 17, whoopie doo.  The measuring stick is not more accurate at angle .24 then Phi at .96.  But we know Phi needed a shift four to match the density.  Its dense, volume to area favors highly curled action by the measuring stick.  The new ratio will need a 16 shift, is my lucky guess. Phi had the 17s if I remember.

Schizophrenic Persian does not blame the Jews

NRO: Iranian president Hassan Rouhani, whom the Obama administration has considered enlisting in the fight against the Islamic State, blamed the growing threat of the jihadist group on the West’s involvement in the Middle East.
During his speech at the United Nations General Assembly on Thursday, Rouhani said, “Today’s anti-Westernism is the offspring of yesterday’s colonialism; today’s anti-Westernism is a reaction to yesterday’s racism,” according to a live translation. “Certain intelligence agencies have put blades in the hands of madmen who now spare no one.”
I should write for the Onion!

The racist is leaving DOJ

NPR: Eric Holder Jr., the nation's first black U.S. attorney general, is preparing to announce his resignation Thursday after a tumultuous tenure marked by civil rights advances, national security threats, reforms to the criminal justice system and 5 1/2 years of fights with Republicans in Congress.
Two sources familiar with the decision tell NPR that Holder, 63, intends to leave the Justice Department as soon as his successor is confirmed, a process that could run through 2014 and even into next year. A former U.S. government official says Holder has been increasingly "adamant" about his desire to leave soon for fear that he otherwise could be locked in to stay for much of the rest of President Obama's second term.

Now who in their right mind wants to be locked up with a lame duck Obama.

Tuesday, September 23, 2014

Physicists and economists are pissing me off

When was the last time you ever saw a Higgs boson with a wristwatch? Anybody? Never, there is no friggin time in the universe, none, it is completely an artificial variable humans created. The vacuum only knows what is going on in its nearby neighborhood, and I mean nearby, like a quarter of a Planck distance away is all it knows. The vacuum does not know pi of e (Euler's number).  The vacuum does not do integral calculus. One might think physicists would get a clue. 

Economists like time, oh we do intertemporal optimization, they say.  Bull shit, wealthy people watch the the number of investors lined up to buy and sell, they are like the vacuum, looking locally. How did humans get so deluded? Isaac Newton, he and his grammar of calculus, it is nothing more than a scripting language, it uses undefined transendental constants for crying out loud. It has nothing to do with out finite universe or our finite economy, it is simply a short hand way of expressing relationships.

The 1990s had a broken yield curve and a Treasury fraud of mammoth proportions

I have the  federal funds, 2 year, and 3 month treasury yields, YoY, but something is wrong.  See if you can spot the broken system.

If you said that the three month rate is lower than the federal funds rate then you get a star.  The federal funds rate was effectively the six month rate, not the overnight rate.  Why on earth did that happen?

I have  the secondary market three month rate, the private lenders had set that rate, so obviously private lenders and borrowers knew full well the federal funds rate was the half year rate, and they were leaving money in the reserve for half a year.   The curve had effectively been inverted and three month bills were being used as short term cash.

Now Treasury should have been borrowing short term, at three months, and instead they were burying debt at the two to ten year terms.  Why?  Treasury obviously forgot how to count, and they cost the taxpayers a ton of money. So it was Treasury that likely caused the crash, paying to high rates, was it an inside deal? Where is Rubin?
From November to December 2007, he served temporarily as chairman of Citigroup[3][4] and resigned from the company on January 9, 2009. He received more than $126 million in cash and stock during his tenure at Citigroup,[5] up through and including Citigroup's bailout by the U.S. Treasury. He is currently engaged actively as a founder of The Hamilton Project, an economic policy think tank which produces research and proposals on how to create a growing economy that benefits more Americans.[4] 

So we have our culprit for the final bonehead move of the Clinton presidency, Robert Rubin. Which numbskull followed Rubin into Treasury? Yep, you guessed, chief bonehead of Harvard, lead sec stagger in chief. What was the total cost to the taxpayers? Looks like we got ripped of for about 90 billion a year, for nearly five years; or 450 billion. Citigroup made out like a bandit, earning the six month rate on overnight funds and earning an inflated rate on two to ten year bonds.  There was no excuse, Clinton was wioping out debt, we had no obiligation to the debt cartel.  This was clearly an sider fraud by Rubin and Summers.

Who was debuty secretary when this started? Yes, that is from the Larry Summers wiki entry. He was in on the deal from the beginning.

United States Deputy Secretary of the Treasury
In office
President Bill Clinton
Preceded by Frank Newman
Succeeded by Stuart Eizenstat

I call for the immediate arrest and prosecution of both Rubin and Summers.

Andrew Sullivan, incompetent hack

Andrew Sullivan: It’s been a remarkable aspect of the foreign policy “debate” over the last month that I haven’t heard a single leading Republican express misgivings about a new Iraq war’s impact on fiscal policy. And yet, for a few years now, we have been subjected to endless drama about the mounting debt when it comes to anything the government wants to do. Cost was one (ludicrous) reason to oppose Obamacare;

Andrew is bitching about the $15 billion a year we will spend shooting Islamics. He backs up his rhetoric by say the 1.5% of GDP costs for Obamacare, now arriving at Treasury is nothing.  That cost is about $170 billion this year, assuming middle class taxpayers cover about $80 billion up front.

I am all for paying the costs of the Islamic shootout, and I am all in favor of California covering the Obamacare costs of all California citizens even if we are not all citizens of the Swamp. But to compare a $170 billion dollar hit on the American middle class with a $15 billion shooting spree is ridiculous.