Aaaaaaaaaahhhhhhhhhhhhhhhhh, quantum mechanics. I remember studying this a few years ago, but I don't remember anything about it. That was a course in physical chemistry back in 1980. My how time flies when we are having fun. ;-) Thanks, Jim Webb On Wed, 2002-12-04 at 16:13, St. Clair, James wrote: > -----BEGIN PGP SIGNED MESSAGE----- > Hash: SHA1 > > ..I think I prefer when they just ask for money :) > > - -----Original Message----- > From: tobyhush@private [mailto:tobyhush@private] > Sent: Wednesday, December 04, 2002 2:39 PM > To: CRIME list > Subject: CRIME Fwd: uncertainty principle is untenable !!! > > > > > *** PGP Signature Status: unknown > *** Signer: Unknown, Key ID = 0x2C331720 > *** Signed: 12/4/2002 2:39:00 PM > *** Verified: 12/4/2002 4:09:26 PM > *** BEGIN PGP VERIFIED MESSAGE *** > > This is some of the more interesting spam I've recieved. I thought > it would make y'all laugh. > > toby > > - ----- Forwarded Message from guest <guest@private> ----- > please reply to hdgbyi@private > or bspgong@private, > thank you. > > > > > UNCERTAINTY PRINCIPLE > > IS > > UNTENABLE > > > > By reanalysing the experiment of Heisenberg Gamma-Ray Microscope and > one of ideal experiment from which uncertainty principle is derived , > it is found that actually uncertainty principle can not be obtained > from these two ideal experiments . And it is found that uncertainty > principle is untenable. > > > > Key words : > > uncertainty principle; experiment of Heisenberg Gamma-Ray Microscope; > ideal experiment > > > > > > Ideal Experiment 1 > > Experiment of Heisenberg Gamma-Ray Microscope > > > > A free electron sits directly beneath the center of the microscope's > lens (see the picture below or AIP page: > http://www.aip.org/history/heisenberg/p08b.htm). The circular lens > forms a cone of angle 2A from the electron. The electron is then > illuminated from the left by gamma rays--high energy light which has > the shortest wavelength. These yield the highest resolution, for > according to a principle of wave optics, the microscope can resolve > (that is, "see" or distinguish) objects to a size of dx, which is > related to and to the wavelength L of the gamma ray, by the > expression: > > dx = L/(2sinA) (1) > > However, in quantum mechanics, where a light wave can act like a > particle, a gamma ray striking an electron gives it a kick. At the > moment the light is diffracted by the electron into the microscope > lens, the electron is thrust to the right. To be observed by the > microscope, the gamma ray must be scattered into any angle within the > cone of angle 2A. In quantum mechanics, the gamma ray carries > momentum, as if it were a particle. The total momentum p is related > to the wavelength by the formula > > p = h / L, where h is Planck's constant. (2) > > In the extreme case of diffraction of the gamma ray to the right edge > of the lens, the total momentum in the x direction would be the sum > of the electron's momentum P'x in the x direction and the gamma ray's > momentum in the x direction: > > P'x + (h sinA) / L', where L' is the wavelength of the > deflected gamma ray. > > In the other extreme, the observed gamma ray recoils backward, just > hitting the left edge of the lens. In this case, the total momentum > in the x direction is: > > P''x - (h sinA) / L''. > > The final x momentum in each case must equal the initial x momentum, > since momentum is never lost (it is conserved). Therefore, the final > x momenta are equal to each other: > > P'x + (h sinA) / L' = P''x - (h sinA) / L'' (3) > > If A is small, then the wavelengths are approximately the same, > > L' ~ L" ~ L. So we have > > P''x - P'x = dPx ~ 2h sinA / L (4) > > Since dx = L/(2 sinA), we obtain a reciprocal relationship between > the minimum uncertainty in the measured position,dx, of the electron > along the x axis and the uncertainty in its momentum, dPx, in the x > direction: > > dPx ~ h / dx or dPx dx ~ h. (5) > > For more than minimum uncertainty, the "greater than" sign may added. > > Except for the factor of 4pi and an equal sign, this is Heisenberg's > uncertainty relation for the simultaneous measurement of the position > and momentum of an object > > . > > Reanalysis > > To be seen by the microscope, the gamma ray must be scattered into > any angle within the cone of angle 2A. > > The microscope can resolve (that is, "see" or distinguish) objects to > a size of dx, which is related to and to the wavelength L of the > gamma ray, by the expression: > > dx = L/(2sinA) (1) > > It is the resolving limit of the microscope, and it is the uncertain > quantity of the object's position. > > Microscope can not see the object which the size is smaller than its > resolving limit dx. > > Therefore, to be seen by the microscope, the size of the electron > must be larger than the resolving limit dx or equal to the resolving > limit dx. > > But if the size of the electron is larger than or equal to the > resolving limit dx, electron will not be in the range dx. dx can not > be deemed to be the uncertain quantity of the electron's position > which can be seen by microscope, dx can be deemed to be the uncertain > quantity of the electron's position which can not be seen by > microscope only. > > dx is the position's uncertain quantity of the electron which can not > > be seen by microscope > > To be seen by the microscope, the gamma ray must be scattered into > any angle within the cone of angle 2A, so we can measure the > > momentum of the electron. > > dPx is the momentum's uncertain quantity of the electron which can be > seen by microscope. > > What relates to dx is the electron which the size is smaller than the > > resolving limit .The electron is in the range dx, it can not be seen > by the microscope, so its position is uncertain. > > What relates to dPx is the electron which the size is larger than or > equal to the resolving limit .The electron is not in the range dx, it > can be seen by the microscope, so its position is certain. > > Therefore, the electron which relate to dx and dPx respectively is > not the same. > > What we can see is the electron which the size is larger than or > equal to the resolving limit dx and has certain position, dx = 0.. > > Quantum mechanics does not relate to the size of the object. but on > the Experiment Of Heisenberg Gamma-Ray Microscope, the using of the > microscope must relate to the size of the object, the size of the > object which can be seen by the microscope must be larger than or > equal to the resolving limit dx of the microscope, thus it does not > exist alleged the uncertain quantity of the electron's position dx. > > To be seen by the microscope, none but the size of the electron is > larger than or equal to the resolving limit dx, the gamma ray which > diffracted by the electron can be scattered into any angle within the > cone of angle 2A, we can measure the momentum of the electron. > > What we can see is the electron which has certain position, dx = 0, > so that none but dx = 0£¬we can measure the momentum of the electron. > > In Quantum mechanics, the momentum of the electron can be measured > accurately when we measure the momentum of the electron only, > therefore, we can gained dPx = 0. > > Therefore , > > dPx dx =0. (6) > > > > > > Ideal experiment 2 > > Experiment of single slit diffraction > > > > Supposing a particle moves in Y direction originally and then passes > a slit with width dx . So the uncertain quantity of the particle > position in X direction is dx (see the picture below) , and > interference occurs at the back slit . According to Wave Optics , the > angle where No.1 min of interference pattern is , can be calculated > by following formula : > > sinA=L/2dx (1) > > and > > L=h/p where h is Planck¡¯s constant. (2) > > So uncertainty principle can be obtained > > dPx dx ~ h (5) > > > > Reanalysis > > According to Newton first law , if the external force at the X > direction does not affect particle ,the particle will keep the > uniform straight line Motion State or Static State , and the motion > at the Y direction unchangeable .Therefore , we can lead its position > in the slit form its starting point . > > The particle can have the certain position in the slit, and the > uncertain quantity of the position dx =0 . > > According to Newton first law , if the external force at the X > direction does not affect particle,and the original motion at the Y > direction is unchangeable , the momentum of the particle at the X > direction will be Px=0 , and the uncertain quantity of the momentum > will be dPx =0. > > Get: > > dPx dx =0. (6) > > It has not any experiment to negate NEWTON FIRST LAW, in spite of > quantum mechanics or classical mechanics, NEWTON FIRST LAW can be the > same with the microcosmic world. > > NEWTON FIRST LAW is one of the form of Energy-Momentum conservation > law. > If the external force does not affect particle, but the particle will > not keep the uniform straight line Motion State or Static State, it > has disobeyed the Energy-Momentum conservation law. > > Under the above ideal experiment , it considered that slit¡¯s width > is the uncertain quantity of the particle¡¯s position. But there is > no reason for us to consider that the particle in the above > experiment have position¡¯s uncertain quantity certainly, and no > reason for us to consider that the slit¡¯s width is the uncertain > quantity of the particle¡¯s position. > > Therefore, uncertainty principle > > dPx dx ~ h (5) > > which is derived from the above experiment is unreasonable . > > > > Concluson > > - From the above reanalysis , it is realized that the ideal experiment > demonstration for uncertainty principle is untenable . > > uncertainty principle is untenable. . > > > > Reference book : > > 1. Max Jammer. (1974) The philosophy of quantum mechanics (John > wiley & sons , Inc New York ) Page 65 > > 2. Max Jammer. (1974) The philosophy of quantum mechanics (John > wiley & sons , Inc New York ) Page 67 > > http://www.aip.org/history/heisenberg/p08b.htm > > > > Author : Gong BingXin > > Address : P.O.Box A111 YongFa XiaoQu XinHua HuaDu > > GuangZhou 510800 P.R.China > > E-mail : hdgbyi@private > > Tel: 86---20---86856616 > > > > > *** END PGP VERIFIED MESSAGE *** > > > > > Concerned about your privacy? Follow this link to get > FREE encrypted email: https://www.hushmail.com/?l=2 > > Big $$$ to be made with the HushMail Affiliate Program: > https://www.hushmail.com/about.php?subloc=affiliate&l=427 > > -----BEGIN PGP SIGNATURE----- > Version: PGPfreeware 6.5.8 for non-commercial use <http://www.pgp.com> > > iQA/AwUBPe5vThd3p66CH+6/EQIxMgCgvy7yC5Fz7Mp9hDgVy/Wq6EQdMfAAn0pB > AK89Qnl++cpZ7/TibZ0ZafYK > =puBd > -----END PGP SIGNATURE----- --
This archive was generated by hypermail 2b30 : Wed Dec 04 2002 - 15:40:28 PST