It appears you have not yet registered with our community. To register please click here...

Theory of Everything  

  
Go Back   Theory of Everything > Member Articles > Physics Articles
Reload this Page Planck Length and Quantum Geometry
Register Website Toe Club Your Blog Arcade

Welcome to the Theory of Everything forums.

You are currently viewing our boards as a guest which gives you limited access to view most discussions and access our other features. By joining our free community you will have access to post topics, communicate privately with other members (PM), respond to polls, upload content and access many other special features. Registration is fast, simple and absolutely free so please, join our community today!

If you have any problems with the registration process or your account login, please contact contact us.

Comment
 
LinkBack Article Tools Display Modes
<!-- google_ad_section_start -->Planck Length and Quantum Geometry<!-- google_ad_section_end -->
Planck Length and Quantum Geometry
Published by Hamid
01-10-2007
<!-- google_ad_section_start -->Planck Length and Quantum Geometry<!-- google_ad_section_end -->

The 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:

1- How Can the Photons Tolerate Each Other?
2- 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 =1.61586 ×10^-29 µm

Planck Length = LP ≈ 1.61624 ×10^-35 m = 1.61624 ×10^-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?
Latest 5 articles

Article Tools

Featured Articles
Read more
THE 1984 WAR: A War of Perception

A Conquest of the United States
  #1  
By Hamid on 02-27-2008, 10:19 AM
Millimeter-Precise Ruler

Ancient Millimeter-Precise Ruler Unearthed in the Burnt City
3200-2100 BC



”Recent excavations in the archeological site of the Burnt City led to the discovery of a ruler with millimeter measurement units. Experts believe now that the ancient residents of the city used precise units for measurements and was skilled in areas of mathematics and geometry."

Reply With Quote
  #2  
By everymansmedium on 02-29-2008, 12:01 PM
Re: Planck Length and Quantum Geometry

Hello Hamid:
I see you have been here at Toe Quest for quite a while. I have never run into any of your posts before this one. So I will say welcome to Toe Quest because I never got to before.

I find your material on this subject left me wanting more.
I would like to read this complete article. Where might I find a copy.
John.
Reply With Quote
  #3  
By Hamid on 03-01-2008, 02:16 PM
Re: Planck Length and Quantum Geometry

Hello John;
I admire your curiosity.
You can find my articles in <Forums→ Member Articles →TOE Overview Articles> and in < Forums→ Member Articles→Physics Articles>.
Anyhow, I encourage you to have a look also to all my articles published in <Theories→ Homepage>. These articles are interrelated.
Last edited by Hamid : 05-16-2008 at 02:16 AM.
Reply With Quote
  #4  
By Hamid on 05-16-2008, 02:11 AM
Precision Air Slit Apertures

Misuse of words is one of the main reasons prevent us from uncovering the similarity between or equality of some concepts in different branches of science and technology which have their own terminology.
The following figures and table have been extracted from:

http://www.nationalaperture.com/slits.htm


in which you can find a kind of incorrect use of words.






The word Tolerance in the above table has been used improperly. The correct wording in this case is "Accuracy" or "Precision".
As an example, tolerance or uncertainty of slit width 2.5µm mentioned in the second row of above table is equal to (+1)-(-0.5)=1.5µm. Tolerance is always positive.


Tolerance = Upper Deviation - Lower Deviation
Reply With Quote
Comment


Currently Active Users Viewing This Article: 1 (0 members and 1 guests)
 
Article Tools
Display Modes

Posting Rules
You may not post new articles
You may not post comments
You may not post attachments
You may not edit your posts

vB code is On
Smilies are Off
[IMG] code is On
HTML code is Off
Trackbacks are On
Pingbacks are On
Refbacks are On
Forum Jump

Similar Threads
Article Article Starter Category Comments Last Post
Super String Theory Mohsen TOE Theory Articles 8 04-03-2008 06:53 AM
The Pure Mathematics of Space-Time quanta07 Mathematics Articles 9 02-14-2007 09:13 AM
Quantum Gravity and Braided Particles Tesla Quantum Physics 2 08-24-2006 12:40 PM
Length versus width TinyTree Your TOE Theory 22 11-29-2005 11:39 AM
Unify for Quantum Mechanics & General Theory of Relativi vacuum-mechanics TOE Theories 1 05-22-2004 09:36 PM



Powered by vBulletin® Version 3.6.8
Copyright ©2000 - 2008, Jelsoft Enterprises Ltd.
Content Relevant URLs by vBSEO 3.2.0
vBulletin Skin developed by: vBStyles.com

Article powered by GARS 2.1.8m ©2005-2006