How does maximum symmetry compare to its corresponding minimum symmetry?

  • #1
3,077
3

Main Question or Discussion Point

In a mathematical system, what similarities are there between the most and least absolute symmetries?

Might Noether's theorem explain this?
 

Answers and Replies

  • #2
HallsofIvy
Science Advisor
Homework Helper
41,833
956
Before anyone can answer this, you will need to specify what you mean by "maximum" and "minimum" symmetry. How are you ordering symmetries?
 
  • #3
3,077
3
I was thinking in part of "maximum" temperatures and "minimum" temperatures, as considered with a magnetic field -- are they of equal symmetry?
 
  • #4
3,077
3
I was thinking in part of "maximum" temperatures and "minimum" temperatures, as considered with a magnetic field -- are they of equal symmetry?
Make that temperature "approaching infinity" and temperature "approaching negative infinity."
 
  • #5
HallsofIvy
Science Advisor
Homework Helper
41,833
956
You do understand "absolute zero" do you not?

But, in what sense does a mathematical system have a "temperature"?
 
  • #6
3,077
3
I believe I once saw in Scientific American the concept of negative temperature relative to "absolute" zero. The system discussed was of a theoretical magnetic field that represented a temperature approaching infinity, but in a similar symmetric configuration could (ironically) represent temperature approaching negative infinity.
 

Related Threads on How does maximum symmetry compare to its corresponding minimum symmetry?

  • Last Post
Replies
11
Views
1K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
9
Views
3K
  • Last Post
Replies
5
Views
4K
  • Last Post
Replies
7
Views
3K
  • Last Post
Replies
2
Views
19K
Replies
3
Views
593
  • Last Post
Replies
3
Views
2K
Replies
16
Views
5K
Top