X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: 10cc56,d285c0422982fd10 X-Google-Attributes: gid10cc56,public X-Google-Thread: 109d8a,d285c0422982fd10 X-Google-Attributes: gid109d8a,public X-Google-Thread: 10b271,d285c0422982fd10 X-Google-Attributes: gid10b271,public X-Google-Thread: f996b,d285c0422982fd10 X-Google-Attributes: gidf996b,public X-Google-Thread: 1110fe,d285c0422982fd10 X-Google-Attributes: gid1110fe,public From: Archimedes.Plutonium@dartmouth.edu (Archimedes Plutonium) Subject: Re: VietMath War: Finite Integers as fake as Newtonian Mechanics Date: 1997/01/21 Message-ID: <5c181u$alm$2@dartvax.dartmouth.edu> X-Deja-AN: 211270315 distribution: world references: <5aeect$hij@dartvax.dartmouth.edu> <5b1rr7$ftb$1@dartvax.dartmouth.edu> <5bejqj$gmg$1@dartvax.dartmouth.edu> x-authenticated: Archimedes.Plutonium on DND host dartmouth.edu organization: PLutonium College newsgroups: sci.physics.electromag,sci.math,sci.physics,sci.logic,alt.ascii-art --- most of text from THE MECHANICAL UNIVERSE --- There are two possibilities. One of them is this. The loop is held stationary, not moving, and I take the magnet and I move the magnet into the loop. Show a bar magnet moving through a stationary loop. And then, show a loop moving through a stationary bar magnet. .-. .-. .-. .-. .-. .-. .-. --/---\---/---\---/---\---/---\---/---\---/---\---/---\---/- `-' `-' `-' `-' `-' `-' `-' //////// | [.] |( _J | ^ ( _| / \_____) / _____ \ | / \ | | | | | \ /\ /\__ | | | \/--- \ \ ) .-. .-. .-. .-. | >_____/_____) --/---\---/---\---/---\---/- \___ `-' `-' `-' / \ | | \ \\ \ |\ \ | \ \ | | | | | | | | | / | |________/____| (_________)____) ================================ That causes the current to flow. Now that case the charges in the loop were not themselves in motion, so it can't have been the magnetic field of the bar magnet that made them move but since they did move There therefore was an electric field and so we conclude that a changing magnetic field, moving the bar magnet, created an electric field. And that of course was Faraday's great discovery of Electromagnetic Induction in the 19th century. ../ ~`~`~'~~'~ ``;; - '/~////~|\\\\\\~\\\\\~\\\~ ~////~//||||\\\\~\\\\\\~\\\\\~ ~//~//||||~||||\\\\\\~\\\\\~\\\~ ~///|||~||||~||||\\~\\\\\~\\\\\\\\~. ~/<<<<<||<<<<<<\\\\<<<<<"|""\\\~\\\\\~ ;\\\\\\\\\~~\\\\\~\\\\\~/""" ""|\\\\""|\ |||/\\\\|\\\\~\\\\\\|/ "||"""||\~ ||/ |"""""""" ~ ||| """"""| = ,,,,,,, ,,,,,,,,,, ,====""|"""~ "|""""||~ | \\ / \ \\ """''|""~ | // \ ""/~ ||/ | / "/P '~ \ | , | \ \ ~~\_/ " \ / ,."" \ \............../ ,. \ \_______/ ,. \ ,.' \ ,.' \ ,'~ / ~~~~~~~~~ \ _ _ _ / ___ ____ \ _ _ _ / ! \_/ ! \ / !___/~\_____! \ .-. .-. .-. .-. --/---\---/---\---/---\---/---\---/- `-' `-' `-' `-' And that is one explanation of that experiment. Now there is another completely different, independent explanation and that goes this way. Suppose instead I hold the bar magnet stationary and I move the loop. Now of course exactly the same thing happens. But in this case we have no moving magnet, no changing magnetic field , but instead, the charges in the loop are moving because I am moving the whole loop. They have the velocity v and this velocity crossed into the magnetic field of the bar magnet gives us a force which causes the current to flow and that also describes perfectly well the experiment that we just saw. So those two different phenomenon that is to say this, loop stationary and magnet moving and this, magnet stationary and loop moving are actually two completely distinct independent phenomenon that have completely different explanations. When Albert Einstein saw that he said look guys, you just got to be kidding any yoyo can see that those two things are the same thing. //\\\||///\\ ,------------------------------------ //| |\\ ( Look guys, you got to be kidding, any ) |[ |

| ]| ( yoyo can see that those two things ) |||| .\. |||| o O ( are the same thing. ) |||< _ >||| o '------------------------------------' \__(_)_/ o o _____!___!_____ | | \ / | | | | _ \./ | | | |[_] | | | | | o | | | | | | | | | o | | |__| | |__| WW| o |WW | | | | o | |____|____| | | | | | | | | | |___|___| \_/ \_/ (art from others) So it was this simple little experiment that was really the starting point of the theory of relativity, not the Michelson-Morley experiment. Not some exotic experiment to detect the motion of the Earth through the ether. But this simple little phenomenon that of course everybody knew about, but which disturbed nobody else , except , Albert Einstein. And what disturbed Einstein was not that we had difficulty explaining this phenomenon this equation explains them perfectly in every case. What disturbed Albert Einstein was the lack of inner perfection of the theory and what he did in response was to produce a theory the Special Theory of Relativity which had just that kind of inner perfection. --- text quoted from THE MECHANICAL UNIVERSE --- The inner perfection How many people can see that the Successor Axiom of the Peano Axiom System is a Series of endless adding 1 such as 1 + 1 + 1 + 1 + ..... is the same Series as the Series definition of what a P-adic Integer, (an Infinite Integer) is. a_0 x p^0 + a_1 x p^1 + a_2 x p^2 + .... What does this mean? It means that Naturals are the P-adic Integers and that the old mathematics of Finite Integers was an imprecise, a foggy, unclear concept. Just as Newtonian Mechanics was wrong and a fake, so also is the Naturals = Finite Integers a fakery. Quantum Mechanics replaced Newtonian Mechanics as the true physics. So also, will Naturals = P-adic Integers replace the fakery that is Finite Integers. But this simple little phenomenon that of course everybody knew about, but which disturbed nobody else, except, Archimedes Plutonium. And what disturbed AP was not that we had difficulty proving simple math problems as ancient as the ancient Greeks this phenomenon this identicalness of the Series of the Successor Axiom, identical to the Series of p-adic definition explains them perfectly in every case. What disturbed AP was the lack of inner perfection of the theory and what he did in response was to produce a theory the Naturals = P-adic Integers = Infinite Integers which had just that kind of inner perfection.