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From: Archimedes Plutonium on 11 Jul 2010 18:57 Archimedes Plutonium wrote: > Archimedes Plutonium wrote: > (snipped) > > > > QM is mysterious to everyone, even physicists and the source of this > > mystery is that the human mind cannot think in terms of duality logic, > > and can only pick our way through this > > logic. The human mind can easily deal with straightline logic. So when > > we deal with millions > > and billions and trillions or less and when we deal with 1/1000 of a > > meter or nanometers we are > > dealing with what the human mind is comfortable with and the dualities > > are not in view, although they are present. But it is not until we get > > into large numbers like 10^60 or 10^40, or the small world of 10^-40, > > not to speak of 10^500 or 10^-500, that we no longer can find truths > > with Aristotelian logic or linear logic. > > > > You see, our knowledge of Quantum Mechanics is the poking around with > Aristotelian straightline logic and we run into something like the > Double Slit > Experiment which our linear minds is unable, at first to understand. > We keep > poking around with it and slowly we piece together the explanation > because > the explanation is Quantum Mechanics of nonlinear logic or duality > logic. > > Our minds do not understand it directly because we cannot think > duality logic > but we can come to the truthful conclusions. This has been the way of > understanding > physics all along, in that we see the magnetic field, a mysterious > force that > pervades space and we slowly put it together into the Maxwell > Equations. But the > mysteries and misunderstandings always remain because our minds were > never > at home in duality logic, our minds were built to function as linear > logic. > > Now this example out of mathematics that N! is the total number of > ways of arranging > N distinct items into a sequence, called permutations in old math. But > let us use that > example of N! and examine it in new-math where Physics is supreme and > math but a > tiny subset. Let us examine N! as duality logic in Quantum Mechanics. > > Let us take 254! which is close enough to 10^500. The number 254! is > element 100 and > is where the StrongNuclear Force no longer exists. In a sense, physics > no longer exists > if there is no StrongNuclear Force available. > > Now in linear logic we think that we can always multiply and that the > rules of Old-math > apply no matter how large the numbers we are multiplying. But what if > the Universe was > a sphere and we multiplied 10^600 x 10^700? In Old math, that would be > very acceptable. > In New Math, duality logic steps in and says the Universe is spherical > and beyond a certain > multiplication, that we no longer get "good answers", for our numbers > are so large that we > physically have no place to put those numbers since we circumnavigated > all the way back around to our starting point. In Old Math they would > say that a airplane that flew 50,000 km > x 3 times in a straight line is "alright math", whereas in fact it is > bad math because Earth > is only 40,000 circumference, so the multiplication breaks down. > > So what New Math does is recognize that Physics is supreme and math > but the backseat > passenger. > > So there is a new meaning to the N! of Old Math. Old Math saw N! as > only a linear logic > of multiplication in Euclidean Geometry. But in Elliptic or Hyperbolic > Geometry N! now takes > on an entirely new meaning. N! means more like volume building where > 254! is equal to > 10^500 and it builds 10^500 cells. Each of those possible sequences of > that 254! is a cell > with volume. So instead of a distance travelling around and around a > sphere by a large number such as 254!, the new meaning of 254! is that > it yields a construction of the sphere > itself in volume with cells. Now in Old Math, this cell building was > recognized when we did > 2x3 or 4x5x6 to create volume, but it only allowed volume with > multiplication of three or less > multipliers because of orthogonality was only three orthogonals of > dimension. In Old math > it was never thought that 254! had 254 orthogonals for 254 dimensions. > And Quantum Mechanics has only 3 physical dimensions so orthogonality > is not an issue here. What is > an issue is that in duality logic, multiplication breaks down because > it no longer makes sense > on Elliptical geometry. In Elliptic Geometry, the number 254! now > becomes not a straight line > enlarged by multiplication, but becomes a multiplication machine that > spews out sequences, and each sequence is a volume-cell of Elliptic > geometry. So when asked to do 254! on a > sphere surface, we are not travelling around and around that sphere, > but we are in fact > cutting up that sphere into tiny compartments or cells that are 10^500 > cells inside. > > You see, when physics is in control, the answers always come back to > where there is > commonsense physical reality, something with hands on experimenting > you can apply. When math is in control, you often get nothing but > imagination run amok and seldom any physical connection to anything, > where old math > is on par with religion and philosophy. > Note the sheer beauty of this authorship writing where I am weaving in a thread into two books, one the Correcting Math and the other the Atom Totality. The posts are relevant to two books and this is perhaps the first time in human history where a author can weave a single post into two books. So long as I can keep the numbering track correct. Anyway, let me not discourage people from learning Quantum Mechanics by telling them it is Duality logic where our minds were only built for linear logic. We cannot picture or understand how a entity can be two things at the same time. We cannot understand how a human if quantum physics were applied that a human being would be simultaneously at one location and also be scattered into millions of fragmented pieces over a vast space. This is why QM is so difficult, because our minds were not built to see or understand it easily. We have to poke around with our linear logic to get at the truth of QM. But there is one help that may be a major help. Duality Logic is represented by geometry in the fact that NonEuclidean geometry of Elliptic with Hyperbolic is a duality to Euclidean Geometry. So if we can criss cross back and forth between NonEuclidean Geometry and Euclidean Geometry, knowing the features of all three geometries, that you cannot have lines to infinity in Elliptic geometry but can have them in Euclidean geometry, so as we criss cross back and forth between these three, we are in a sense navigating in Quantum Mechanics. NonEuclidean geometry is dual logic compared to Euclidean Geometry. So our minds are not completely helpless in navigating Quantum Mechanics. But let me point out a pretty detail that this N! has brought up. A long time ago when doing the math book AP-adics, I started that program with "All Possible Digit Arrangements" as the foundation of numbers. That was a substitute for axioms. But as we look at N! and know it to be all the possible ways of arranging N distinct items into a sequence, we realize that N! is a representation of "All Possible Digit Arrangements". For 1,2,3 we have 123 132 231 213 312 321 Now think of each of those arrangements as a cell, so that for a Sphere we have the number 254! would be the number 10^500 but not a number represented by a line on the sphere that goes around and around many times. Rather the number 254! for the sphere in Elliptic geometry is a complete building of that sphere from the inside out of 10^500 individual cells. If the sphere were represented by 3! it would have just 6 cells. So this confluence of ideas, of my earlier work in axiomatizing numbers as All Possible Digit Arrangements has now blossomed over into the idea that N! is All Possible Digit Arrangements and that they are cells that build up the entire Elliptic geometry. Now the cells can be all on the surface of the sphere and the cells can be ordered so the cells can represent TIME. So that a atom of plutonium would have more time-cells than an atom of iron or bismuth. And we begin to see how multiplication breaks down from that of Euclidean geometry where we have no problem in 254! as a line that goes very long and far. But in Elliptic geometry where the long line bends back around to the start and then it looses meaning. So that multiplication in Elliptic geometry is not the same as multiplying in Euclidean. Archimedes Plutonium http://www.iw.net/~a_plutonium/ whole entire Universe is just one big atom where dots of the electron-dot-cloud are galaxies
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