143 reputation
117
bio website ktahn.org
location Nice, France
age 25
visits member for 1 year, 2 months
seen 27 mins ago

There are bubbles on your manifold and there is nothing you or anyone else can do about it.

   CALIFORNIA COMMUNITY COLLEGES NOW OFFERING BA AND BS DEGREES.

Oct
7
comment Dislocations,Disclinations Latices, Displacement fields and scaling
May be if we can just start by formulating the problem, appropriately then there might be a way forward.
Oct
7
comment Dislocations,Disclinations Latices, Displacement fields and scaling
I tried formalize, and pose the problem but I just don't know how to. I mean it could be (for the second case) thought of as finding discrete sub groups of the mobius group, and defining a scaling operation on such a lattice. at least to start. Then more . . . . However in the first case defining such a thing seems ludacris. If it were to be done, then as in the second case the polynomial would be something else and not ehrhart, but then generally bear an additional degree of freedom.
Oct
7
comment Dislocations,Disclinations Latices, Displacement fields and scaling
So the idea was to formulate Ehrhart's problem on a lattice structure of that form. This way counting would have meaning, and I can lift the Fourier analogs in this theory into gr. Long story short I don't quite know if I have done this. So I and someone else tried to just try this in euclidean hyperbolic space, The fact is we don't even know if this has any value. I thought a little more about if I could achieve the first task by scaling as per Ehrhart theory two separate lattices and using O-lattice language to define curvature. I am sure this is not worth anything, I am confused.
Oct
7
comment Dislocations,Disclinations Latices, Displacement fields and scaling
I have finally found the opportunity to talk more about this. Essentially I think I might as well just say what I was attempting to do. I read "Multi-valued Fields" by Kleinert some time ago. A free copy can be found on his site. In chapter 9 he talks about dislocations and disclinations, however I arrived at this by thinking of general relativity. The idea was to formulate a counting problem. It turns out that in his book he talks about thinking of curvature in terms of dislocations and disclinations. Essentially Einstein-Cartan via tettrads. I had been thinking about lattices.
Sep
27
comment Dislocations,Disclinations Latices, Displacement fields and scaling
This is not the question yet, but in the mean time. I thought there could be a way forward if you looked at burger vectors in the language of O-Lattice. To be sure, I don't know much about these: tf.uni-kiel.de/matwis/amat/def_ge/kap_7/backbone/r7_3_1.html .
Sep
26
comment Dislocations,Disclinations Latices, Displacement fields and scaling
I think you are right, although I have a small question but I want to formalize it properly first.
Sep
25
revised Dislocations,Disclinations Latices, Displacement fields and scaling
added 1 character in body
Sep
25
revised Dislocations,Disclinations Latices, Displacement fields and scaling
edited body
Sep
25
asked Dislocations,Disclinations Latices, Displacement fields and scaling
Sep
17
comment When are Ehrhart functions of compact convex sets polynomials?
@PeteL.Clark . I too have gotten obsessed over these things. What is curvature in this theory?
Apr
10
awarded  Fanatic
Mar
21
awarded  Commentator
Jan
30
awarded  Enthusiast
Jan
24
revised Large vs Small Gauge transformations and Physical theories
edited title
Jan
24
revised Large vs Small Gauge transformations and Physical theories
deleted 591 characters in body
Jan
24
accepted Large vs Small Gauge transformations and Physical theories
Jan
23
revised Large vs Small Gauge transformations and Physical theories
added 59 characters in body
Jan
23
asked Large vs Small Gauge transformations and Physical theories
Jan
22
accepted Regarding understanding differential geometry
Jan
22
accepted Birkhoff decomposition vanishing of the Chern numbers