Undergrad I need a list of all singularities in physics

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SUMMARY

This discussion focuses on identifying instances of singularities in physics, particularly in the context of general relativity and quantum mechanics. Key examples mentioned include the singularity at a=0 in the Friedmann equation, which corresponds to t=0, as well as concepts like black holes, renormalization, cosmic strings, and domain walls. Participants emphasize the complexity of distinguishing between coordinate-dependent singularities and those that are fundamentally significant in physical theories.

PREREQUISITES
  • Understanding of general relativity and the Friedmann equation
  • Familiarity with quantum mechanics and renormalization techniques
  • Knowledge of black hole physics and singularity concepts
  • Basic grasp of cosmic strings and domain walls in theoretical physics
NEXT STEPS
  • Research the implications of the Friedmann equation in cosmology
  • Study the process of renormalization in quantum field theory
  • Explore the properties and significance of black holes in general relativity
  • Investigate the theoretical frameworks surrounding cosmic strings and domain walls
USEFUL FOR

Physicists, cosmologists, and students of theoretical physics who are interested in the nature of singularities and their implications in both general relativity and quantum mechanics.

SothSogi
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Hi there everyone :smile:

I'd like to have a list of all the instances where a singularity appears in physics, e.g., in relativity, causing the black hole thing.

Specific cases where

\frac{x}{0}

appears.

For instance, I heard that there is another case in quantum mechanics, or quantum field theory, and I think it is called renormalization.

Can you help me please?

Thank you very much in advance
 
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Hi SothSogi:

The Friedmann equation
FriedmannEq.png

has a singularity for a=0 which also corresponds to t=0.

Good luck.

Regards,
Buzz
 
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Buzz Bloom said:
Hi SothSogi:

The Friedmann equation
View attachment 197656
has a singularity for a=0 which also corresponds to t=0.

Good luck.

Regards,
Buzz
Thanks Buzz Bloom. That is exactly the kind of information I am looking for. Thank you very much :smile:
 
This is difficult to do because many singularities are the products of co-ordinate choices. You will have to sift through them all and determine which ones are, and I hate to use the word, real.
 
cosmik debris said:
This is difficult to do because many singularities are the products of co-ordinate choices. You will have to sift through them all and determine which ones are, and I hate to use the word, real.
Yes, I suppose. But here I am talking about well known singularities, like black holes, or that thing, renormalization which I do not know very well. I think there is another called cosmic string, or another called domain wall.
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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