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

Theory of Everything  

  
Go Back   Theory of Everything > Tools > Mathematics
Reload this Page triple double not single
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.

Reply
 
LinkBack Thread Tools Display Modes
triple double not single
Old
  (#1 (permalink))
Raider of the lost time
AntonioLao is a jewel in the roughAntonioLao is a jewel in the roughAntonioLao is a jewel in the roughAntonioLao is a jewel in the roughAntonioLao is a jewel in the roughAntonioLao is a jewel in the roughAntonioLao is a jewel in the rough
 
AntonioLao's Avatar
 
Status: Offline
Posts: 5,109
Thanks Given: 641
Thanked 97x in 96 Posts
Join Date: Nov 2003
Rep Power: 71
   
triple double not single - 02-08-2008, 11:58 AM

From study of vector space approach to geometry, it was determined that volume (triple) and area (double) may be considered independently of the metric properties of length (single).

Mathematical logic conclusively suggests that the degree of physical invariance is higher for volume than it is for area. That of area is higher than it is for length. For example changes of length as a triangle is deformed would still allow its area to remain constant even if any two of three sides are stretched to infinity. The change in space-time (universal expansion) and location of matter (position and velocity) would still allow the size and volume (mass and density) of each individual particle to remain constant within relativistic limits.

This latter implication together with a principle of least action led to a surprisingly simple conclusion to the question: why an electron and conceivably all other elementary particles appear point-like, minimizing their physical volumes as the highest triple invariance of nature.

Equivalently, the volume determinants for both positive and negative is equal to the scalar triple product of vector analysis: A´B×C where A, B, and C are vectors defined in Euclidean 3-space. Furthermore, the same can be extended to 4 dimensions space-time or to 11 dimensions superstring. In fact, it can extend arbitrarily to infinite dimensions. However, all these higher dimensions are not really necessary for the conservation of volume triple invariance of perfect symmetry. It is a fact of life that no baseball hitters ever hit a quadruple unless playing on a pentagon instead of a diamond or a strong golfer scoring triple eagle on a par 5 course.


Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: a(tr(t)=c²
  
Digg this Post!Add Post to del.icio.usBookmark Post in TechnoratiFurl this Post!Spurl this Post!Reddit!
Reply With Quote
Re: triple double not single
Old
  (#2 (permalink))
Moderator
mkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to behold
 
mkirkpatrick's Avatar
 
Status: Offline
Posts: 7,201
Thanks Given: 335
Thanked 617x in 591 Posts
Join Date: Aug 2005
Rep Power: 90
   
Smile Re: triple double not single - 02-08-2008, 12:01 PM

You have something up your sleeve here,i can feel it!


regards michael.


Humilty,coupled with boldness,surprises truth to
reveal herself?
  
Digg this Post!Add Post to del.icio.usBookmark Post in TechnoratiFurl this Post!Spurl this Post!Reddit!
Reply With Quote
The Following User Says Thank You to mkirkpatrick For This Useful Post:
AntonioLao (02-08-2008)
Re: triple double not single
Old
  (#3 (permalink))
Raider of the lost time
AntonioLao is a jewel in the roughAntonioLao is a jewel in the roughAntonioLao is a jewel in the roughAntonioLao is a jewel in the roughAntonioLao is a jewel in the roughAntonioLao is a jewel in the roughAntonioLao is a jewel in the rough
 
AntonioLao's Avatar
 
Status: Offline
Posts: 5,109
Thanks Given: 641
Thanked 97x in 96 Posts
Join Date: Nov 2003
Rep Power: 71
   
Re: triple double not single - 02-08-2008, 12:11 PM

Quote:
Originally Posted by mkirkpatrick
something up your sleeve here
Firstly, to fully understand why symmetric Hadamard square matrices have zero determinants. Secondly, to initiate cold fusion.


Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: a(tr(t)=c²
  
Digg this Post!Add Post to del.icio.usBookmark Post in TechnoratiFurl this Post!Spurl this Post!Reddit!
Reply With Quote
Re: triple double not single
Old
  (#4 (permalink))
Moderator
mkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to behold
 
mkirkpatrick's Avatar
 
Status: Offline
Posts: 7,201
Thanks Given: 335
Thanked 617x in 591 Posts
Join Date: Aug 2005
Rep Power: 90
   
Smile Re: triple double not single - 02-08-2008, 12:14 PM

Quote:
Originally Posted by AntonioLao View Post
Firstly, to fully understand why symmetric Hadamard square matrices have zero determinants. Secondly, to initiate cold fusion.

I just knew cold fusion was "lurking" there in the background!




regards michael.


Humilty,coupled with boldness,surprises truth to
reveal herself?
  
Digg this Post!Add Post to del.icio.usBookmark Post in TechnoratiFurl this Post!Spurl this Post!Reddit!
Reply With Quote
The Following User Says Thank You to mkirkpatrick For This Useful Post:
AntonioLao (02-08-2008)
Reply



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

Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts

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



Powered by vBulletin® Version 3.6.8
Copyright ©2000 - 2008, Jelsoft Enterprises Ltd.
SEO by vBSEO 3.1.0
vBulletin Skin developed by: vBStyles.com