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Topic: unification of Green, Stokes, Divergence and keep the manifold #-107
Uni-textbook 7th ed.: TRUE CALCULUS; without the phony limit concept

Replies: 7   Last Post: Jul 26, 2013 2:07 AM

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 plutonium.archimedes@gmail.com Posts: 7,951 Registered: 3/31/08
Culmination Calculus Theorem implies 3rd dimension is the last
dimension #-113 Uni-textbook 7th ed.: TRUE CALCULUS; without the phony limit concept

Posted: Jul 26, 2013 1:40 AM

Now Old Math could not define volume as the stacking of planar areas because they had no infinity borderline and so planes had no thickness to speak of. In New Math, with a infinity borderline such as the 10 Grid the distance between 0 and .1 is .1 and that is the smallest distance other than 0 that exists. This means that planes have a thickness of 0.1. And when you stack them, the areas inside the planes when they are near other planes of area create volume. Cross sections are areas and when we stack them they form volumes.

In New Math, 0.1 in 10 Grid where 10 is the infinity borderline, then a plane has this 0.1 thickness, has a distance of thickness.

And now we see one of the most beautiful implications of the Culmination Calculus Theorem. The implication that the 4th dimension and beyond are utter fictions. Because, if you had a 4th dimension, means that you can stack 3rd dimension items and enter 4th dimension. This is never the case, for the stacking of 3rd dimension with more 3rd dimension leads only to a larger 3rd dimensional object.

So I am liking my use of the word "Culmination". In Calculus, the integral is summation. Culmination means some sort of end of a project. And the end of Calculus with its derivative and integral is that 2nd dimension ends with 3rd and no more dimensions are allowed.

This brings up the fascinating and somewhat mystery question of why the Calculus is based on purely 2nd dimension and that its end or culmination is the 3rd dimension? So why is Calculus a 2nd dimensional operation? And the answer comes, I suspect, from physics. That in physics, existence is a duality of two things, whether it be electricity with magnetism or that of particle with wave. Duality is existence, and so in mathematics, the Calculus is the duality of derivative and integral and its platform of where the duals perform is 2nd dimension. And when we stack those interactions together we end up with volume of 3rd dimension.

So in both physics and math, whenever you hear them talk about 4th dimension or higher dimension, only means they know not; know nothing of what they speak of.

AP