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Planck Length and Quantum Geometry
- By Hamid Tizvar
- Published 03/2/2007
- Physics
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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.
View all articles by Hamid TizvarThe advancement of technology is based on the developments in tool and measuring instrument production. The measurement of dimensions is based on practical application of metrology (the science of units), standards and procedure of measurement.
Let us suppose that by the existing level of technology we are able to measure the position of a very small object (particle) with an uncertainty or tolerance equal to one micron meter (1µm) or with a precision within ±0.5 µm for instance, that seems to be realistic. According to my interpretation of Quantum Mechanics described in the following articles, published in ToeQuest Research Library:
- How Can the Photons Tolerate Each Other?
- Double Slit Experiment and Quantum Mechanics
by means of more advanced technology higher accuracy or smaller uncertainty in measurement is attainable which is differentiated from the preceding one by the coefficient 1/6. This means that if at present the uncertainty in measurement of dimensions could be 1µm, through the higher levels of technology it would be the same as (1/6), (1/6)2, (1/6)3,…,(1/6)n µm respectively. This reminds us of quantum geometry which is founded on this true concept that the order of measurement is important.
I realized that when n=37, the uncertainty in measurement will turn into Planck Length which is believed to be the smallest fundamental length in physics:
Uncertainty (Tolerance) =ΔL= (1/6)37 µm =1.61586x10-29 µm
Planck Length = LP ≈ 1.61624x10-35 m = 1.61624x10-29 µm
It appears that at Planck Length the uncertainty in Quantum Mechanics changes into virtual certainty which may have physical and philosophical significance.
In this hypothetical and random measurement it was our intention to identify the position of particle, but we reached to Planck Length as one of 3 dimensions of particle. Taking into consideration that we didn't specify which dimension is the subject of measurement, this virtual particle must have the same size in all directions and logically it cannot be something like a string, for example.
Questions:
- Why there exists such relation between uncertainty in measurement and Planck Length?
- Why the 37th order of measurement and what does it mean? Probably the roulette players know the answer!
- Is Planck Length the dimension of virtual point in nature?
- What is this virtual point particle and what are its characteristics?