LinkBack URL
About LinkBacksThe following list of web links contains topics discussing the different varieties of group used in the formulation of physical theories:
http://en.wikipedia.org/wiki/Category:Lie_groups and
http://en.wikipedia.org/wiki/Lorentz_group and http://en.wikipedia.org/wiki/Poincare_group
The question is which of these could describe the topologies of the following image?
Attachment 248
Welcome to the ToeQuest.
Results 1 to 6 of 6
Thread: relativistic and Lie groups
- 05-22-2006, 01:59 PM #1Raider of the lost time
- Join Date
- Nov 2003
- Location
- United States
- Posts
- 11,778
- Blog Entries
- 10
- Thanks Given
- 1,106
- Thanked 1,472x in 1,192 Posts
- Rep Power
- 158
relativistic and Lie groups
Last edited by AntonioLao; 01-14-2008 at 03:27 PM.
Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: ¶a(t)·¶r(t)=c²
- 05-22-2006, 03:41 PM #2The Thinker
- Join Date
- Mar 2005
- Location
- Spain
- Posts
- 3,278
- Blog Entries
- 7
- Thanks Given
- 0
- Thanked 12x in 9 Posts
- Rep Power
- 63
Re: relativistic and Lie groups
What if the topology which should describe those images is not yet invented? What characteristics should it have?
- 05-23-2006, 12:01 PM #3Raider of the lost time
- Join Date
- Nov 2003
- Location
- United States
- Posts
- 11,778
- Blog Entries
- 10
- Thanks Given
- 1,106
- Thanked 1,472x in 1,192 Posts
- Rep Power
- 158
Re: relativistic and Lie groups
The topology is known as a doubly twisted Möbius strip. I am still not sure about the Lie group representations although I used Hadamard matrices and these form a Hadamard group which are not differentiable or meaning not one to one correspondence but many to many correspondence.
Originally Posted by GUILLE Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: ¶a(t)·¶r(t)=c²
- 05-23-2006, 04:48 PM #4The Thinker
- Join Date
- Mar 2005
- Location
- Spain
- Posts
- 3,278
- Blog Entries
- 7
- Thanks Given
- 0
- Thanked 12x in 9 Posts
- Rep Power
- 63
Re: relativistic and Lie groups
Many to many correspondence is seen a lot in permutation mathematics. Do you have an equation of the sort 2n! or something to represent that many to many correspondence? Originally Posted by AntonioLao
- 05-25-2006, 05:34 PM #5Raider of the lost time
- Join Date
- Nov 2003
- Location
- United States
- Posts
- 11,778
- Blog Entries
- 10
- Thanks Given
- 1,106
- Thanked 1,472x in 1,192 Posts
- Rep Power
- 158
Re: relativistic and Lie groups
No. I don't have any such equation. But I think many to many correspondence must in some ways related to non-associative algebra. Originally Posted by GUILLE Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: ¶a(t)·¶r(t)=c²
- 05-25-2006, 06:47 PM #6Raider of the lost time
- Join Date
- Nov 2003
- Location
- United States
- Posts
- 11,778
- Blog Entries
- 10
- Thanks Given
- 1,106
- Thanked 1,472x in 1,192 Posts
- Rep Power
- 158
Re: relativistic and Lie groups
The following is an information link to non-associative algebra http://en.wikipedia.org/wiki/Categor...iative_algebra
Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: ¶a(t)·¶r(t)=c²
Reply With QuoteThread Information
Users Browsing this Thread
There are currently 1 users browsing this thread. (0 members and 1 guests)
Posting Permissions
Powered by vBulletin® Version 4.1.11
Copyright © 2012 vBulletin Solutions, Inc. All rights reserved.
Content Relevant URLs by vBSEO 3.6.0
Copyright © 2012 vBulletin Solutions, Inc. All rights reserved.
Content Relevant URLs by vBSEO 3.6.0
All times are GMT -4. The time now is 04:03 AM.
vBulletin 4.0 skin by CompleteVB
