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Question 1

0votes

0answers

42views

Non-simply connectedness of the Moebius group [migrated]

Assuming that a map of the form: $a\in SL(2,\mathbb{C}) \rightarrow m[a]$ with $m[a](z)=\frac{a_1z + a_2}{a_3z+a_4}$ is a group homomorphism, it is easy to show that this mapping is not bijective, ...

imbAF

2,048

askedNov 15 at 14:27

Question 2

1vote

1answer

46views

What would the Negative $𝑟$-Coordinate Region of the Kerr Metric look like from afar?

In the Kerr Metric there's a Negative $𝑟$-Coordinate Region on the other side of the ring singularity.If you went through the ring, continued on and then looked back, how would it appear? What would ...

blademan9999

3,645

askedNov 12 at 2:57

Question 3

3votes

1answer

127views

Do the canonical twisting bundles play a role in quantum physics?

$\Bbb {CP}^1$ the Riemann sphere appears in quantum physics as the Bloch sphere, and is the natural home for two-dimensional phenomena such as spin. It is sometimes said that bundle theory is relevant ...

FShrike

272

askedNov 10 at 1:03

Question 4

0votes

0answers

45views

Non-uniqueness in the coordinate-free definition of conformal boundary

Conformal boundary is defined as the non-degenerate hypersurface where the Weyl factor $\Omega(x)$ vanishes and by non-degeneracy I mean $d \Omega(x)=0$ which is required so that we can determine ...

Nairit Sahoo

463

askedNov 9 at 23:49

Question 5

0votes

0answers

58views

Configuration space of symmetric rigid bodies in $n$ dimensions

Suppose I have a connected, compact, rigid body $X$ in $\mathbb{R}^n$ with a closed subgroup of rotational symmetries $G\subset SO(n)$. That is, two configurations of $X$ are identical iff they differ,...

K.K.

101

askedNov 5 at 18:07

Question 6

1vote

0answers

50views

Berry connection and velocity operator for tight binding models

I have a question about how the Berry connection and the velocity operator are computed in continuum models versus in tight-binding models. Let me start with my understanding of the definitions in ...

VerwirrterStudent

71

askedNov 5 at 13:49

Question 7

4votes

0answers

117views

Prove surface is compact in Hawking and Ellis

I am trying to prove proposition 9.2.1 from text book "The large scale structure of spacetime" by Hawking and Ellis at page # 311, last line and got stuck in a topological/geometrical ...

Shen john

969

askedOct 10 at 10:36

Question 8

1vote

1answer

131views

Do topological operators for higher form Symmetries have to be embeddable in a single time slice?

I have a question about higher form symmetries. I can't find anything about this in the literature. The story you usually hear is: higher form symmetries are always abelian because the topological ...

Josh Newey

1,015

askedOct 10 at 8:16

Question 9

6votes

1answer

240views

Penrose's topological argument that forbids negative energy in GR?

From a Sean Caroll's "Mindscape" podcast at 16:19. Penrose says:The question that I was interested in is could you in any way makethis consistent with Einstein's general relativity ...

More Anonymous

1,505

askedSep 29 at 17:52

Question 10

1vote

0answers

87views

On the Spacetime Diagram for a flat FLRW Metric [closed]

I'm looking at the Spacetime Diagram described by $$t=(1-q)^\frac{1}{1-q}(\pm x-x_0)^\frac{1}{1-q}$$There's a couple of things I want to clarify here. I understand that $t=0$ is a singularity, but ...

Ambica Govind

1,905

askedSep 9 at 1:25

Question 11

2votes

1answer

257views

Why are classical gauge theories insensitive to large gauge transformations, while quantum gauge theories are affected by them?

In a previous question regarding large gauge transformations, one of the answers mentions that large gauge transformations are true redundancies for classical gauge theories, while they contain ...

Ishan Deo

2,615

askedAug 17 at 8:47

Question 12

1vote

0answers

129views

How the topology induces degeneracy of anyons?

I'm a graduate student in physics, i'm studying about anyons. I have a good knowledge on the traditional quantum physics like J.J. Sakurais book lectures. I also have a base knowledge in differential ...

Lucas Sievers

183

askedAug 14 at 15:11

Question 13

1vote

0answers

59views

Why the Chern Number should be calculated in 2D system with energy gap?

I feel that it might be related to the "splitting principle", a concept in complex vector bundles. In quantum mechanics, the first Chern number of a complex vector bundle is always zero，...

Lccer

11

askedAug 12 at 14:07

Question 14

5votes

2answers

405views

How many ways to join two flat universes by a spherical wormhole?

I'm not a topology expert, by far! This question may be more related to maths than physics, but I still believe the physics forum is a proper one.Suppose you have two flat universes: A and B. You ...

Cham

8,045

askedJul 18 at 0:14

Question 15

1vote

0answers

59views

Point group or Space group symmetry on Berry connection [closed]

I want to consider How Berry connection transform by Point group or Space group symmetry and whether is it possible to think selection rule as other quantity.For <n|O|m> term, we usually ...

NMP

11

askedJul 11 at 1:22

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Stack Exchange Network

Questions tagged [topology]

Non-simply connectedness of the Moebius group [migrated]

What would the Negative $𝑟$-Coordinate Region of the Kerr Metric look like from afar?

Do the canonical twisting bundles play a role in quantum physics?

Non-uniqueness in the coordinate-free definition of conformal boundary

Configuration space of symmetric rigid bodies in $n$ dimensions

Berry connection and velocity operator for tight binding models

Prove surface is compact in Hawking and Ellis

Do topological operators for higher form Symmetries have to be embeddable in a single time slice?

Penrose's topological argument that forbids negative energy in GR?

On the Spacetime Diagram for a flat FLRW Metric [closed]

Why are classical gauge theories insensitive to large gauge transformations, while quantum gauge theories are affected by them?

How the topology induces degeneracy of anyons?

Why the Chern Number should be calculated in 2D system with energy gap?

How many ways to join two flat universes by a spherical wormhole?

Point group or Space group symmetry on Berry connection [closed]

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