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Double Slit Experiment and Quantum Mechanics
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Hamid Tizvar
I was born on Dec 21, 1949 in Tehran, Iran. I have a M.Sc. degree in mechanical engineering from Tehran University where I graduated in April, 1975. My primary interests include machine design and manufacturing. Many years ago, engineering intuition persuaded me into translating a book titled "Toleranzen und Passungen" from German into Persian, I think it revealed to me the mystery of meanings and figures which may be a source for defining the behavior of mankind. Through ToeQuest website I have the intention to find a way for linking the different branches of human's knowledge which probably will be a guide for understanding the Theory of Everything. I hope the doctrine of the Gnostic which emphasizes that "Salvation depends on knowledge about the correlations of the world, expressed in letters, words, and numbers, but also on moral behavior" could be helpful. I think, because I am and can say that the limits of language are that very limits of thought.  
By Hamid Tizvar
Published on 12/12/2005
 

In my opinion, the existing interpretation of the most beautiful experiment in physics has been founded on false knowledge. In this writing I want to interpret, in other form, the double slit experiment by diffraction phenomenon which is the manifestation of quantum mechanics and can find explanations in terms of the particle theory of light.


Double Slit Experiment and Quantum Mechanics

In my opinion, the existing interpretation of the most beautiful experiment in physics has been founded on false knowledge. In this writing I want to interpret, in other form, the double slit experiment by diffraction phenomenon which is the manifestation of quantum mechanics and can find explanations in terms of the particle theory of light.

Light diffraction phenomenon has a key role in the double-slit experiment for producing the so called interference pattern. Because diffraction occurs in this experiment at two stages. But today, diffraction is explained by the wave theory of light on the basis of Huygens' principle. This theory had been advanced by Huygens and used by Young to explain double-slit interference and especially to deduce the wavelength of light.

According to Huygens' principle, if a wave falls on a barrier that has an opening of dimensions similar to wavelength, the wave will flare out (diffract) into the region beyond the opening. Therefore, to investigate the so called "interference of two combining waves of light", we must first attain and comprehend the real cause of diffraction phenomenon. According to the reasoning set forth in my previous article, "How can the Photons Tolerate Each Other" (1) and on the basis of the range and precision of measurement, the random variables in normal conditions break up by diffraction into seven main groups (clusters) with the following percentages of population:

M3:           0.49 % , the portion within the range of measurement only,

M2:           6.06 %

M1:         24.17 %

Ci :          38.29 %  

P1:          24.17 %

P2:           6.06 %

P3:           0.49 % , the portion within the range of measurement only.

It seems in normal conditions this classification of random variables is the rule of cosmic order (natural selection)!

The mean value of group Cipher (Ci) is the same as original mean value, while other groups have their own mean value.

As a matter of fact, either of these groups or any section within the measurement's range (DZ 3σ) consists of seven other subgroups which could be detected only when we diffract them again, because in a narrower field, the standard deviation and population are not large enough to represent the sub-diffraction in original pattern.

If, for example, we concentrate on group Cipher only we are going indeed to investigate those photons which are in the range Ē ± 1/2σ, in which the uncertainty is equal to σ and standard deviation is σ′=1/6σ. Now we can imagine two extremely narrow sections on second barrier which are symmetrically very close to original mean value, the width of sections is the same as that of slits in double slit experiment.

Narrower tolerance or uncertainty also means much smaller population of photons. This is the case that occurs in double slit experiment. When either slit on second barrier is covered, a single smooth peak is observed on the screen, because of too small standard deviation and population. But when both slits are open, namely more different photons, a pattern of light and dark fringes is observed for the reason that in this case we have increased the standard deviation and doubled the linear sources of light which propagate sufficient number of photons needed for detecting the sub-diffraction pattern.

As much as precise would be the measuring instrument, more precise sub-diffractions could be detected.

Double slit experiment is in fact another evidence for the particle theory of light and represents the sub-quantum structure.

"Attar roamed the seven cities of love --- we are still just in one alley" (Rumi)

Reference

1- "How Can the Photons Tolerate Each Other?", Hamid Tizvar, October 2004, ToeQuest Research Library. See Related  Articles below.