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From: Archimedes Plutonium on 11 Jul 2010 14:34 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. 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 |