Do circles objectively exist?

1. 2021-10-29 at 11:45 PM UTC

   #121
   

   mmG African Astronaut

   Originally posted by vindicktive vinny if it looks like a dalit,
   
   walks like a dalit,
   
   clamours like a dalit ….

   
   You have no car
   
   Therefore I don't car
2. 2021-10-30 at 12:42 AM UTC

   #122
   DrugSmuggler African Astronaut
   You cannot have perfect circles in reality. Neither can you have perfect lines or perfect triangles. This is not only because the world consists of molecules, but also because the universe is curved.
3. 2021-10-30 at 12:47 AM UTC

   #123
   

   Lanny Bird of Courage

   Originally posted by DrugSmuggler You cannot have perfect circles in reality. Neither can you have perfect lines or perfect triangles. This is not only because the world consists of molecules, but also because the universe is curved.

   
   Is it? Triangles and circles are still defined within non-euclidian geometries, they just have some different properties.
4. 2021-10-30 at 1:02 AM UTC

   #124
   DrugSmuggler African Astronaut
   in non-Euclidean geometries, on the surface of a sphere, the angles in a triangle can be between 180∘ and 540∘, while on a hyperbolic paraboloid (a "saddle"), it can be anywhere between 0∘ and 180∘.
5. 2021-10-30 at 1:42 AM UTC

   #125
   

   Lanny Bird of Courage

   Originally posted by DrugSmuggler in non-Euclidean geometries, on the surface of a sphere, the angles in a triangle can be between 180∘ and 540∘, while on a hyperbolic paraboloid (a "saddle"), it can be anywhere between 0∘ and 180∘.

   
   Yes, exactly. Ergo curvature of physical space does not mean that circles or triangles can not exist in reality.
6. 2021-10-30 at 3:47 AM UTC

   #126
   

   Quick Mix Ready Dark Matter [jealously defalcate my upanishad]
   Nerds
7. 2021-10-30 at 9:32 AM UTC

   #127
   

   troon African Astronaut

   Originally posted by Lanny Yes, exactly. Ergo curvature of physical space does not mean that circles or triangles can not exist in reality.

   
   It's moot. There's a granularity to spacetime.
8. 2021-10-30 at 12:26 PM UTC

   #128
   

   mmG African Astronaut
   Like "distance" itself is a position variable. How would you even nail down "equal distance"?
9. 2021-10-30 at 1:08 PM UTC

   #129
   

   Lanny Bird of Courage

   Originally posted by troon It's moot. There's a granularity to spacetime.

   
   Is there?
10. 2021-10-30 at 2:31 PM UTC

    #130
    

    vindicktive vinny Black Hole

    Originally posted by mmG You have no car
    
    Therefore I don't car

    
    if it doesnt have a native culture,
    
    doeant have a native language,
    
    doesnt have a native writting ...
11. 2021-10-30 at 2:32 PM UTC

    #131
    

    vindicktive vinny Black Hole

    Originally posted by Lanny Is there?

    
    yes
12. 2021-10-30 at 2:56 PM UTC

    #132
    

    Lanny Bird of Courage

    Originally posted by vindicktive vinny yes

    
    Please demonstrate
13. 2021-10-30 at 3:51 PM UTC

    #133
    

    mmG African Astronaut

    Originally posted by vindicktive vinny if it doesnt have a native culture,
    
    doeant have a native language,
    
    doesnt have a native writting …

    
    Describing his own conquered people
14. 2021-10-30 at 10:49 PM UTC

    #134
    

    troon African Astronaut

    Originally posted by Lanny Is there?

    
    If the laws of physics break down at the scale of a Planck, then nothing can have curvature between any two 'points' at that scale. Even defining the absolute center of a circle is impossible.
15. 2021-10-30 at 10:53 PM UTC

    #135
    

    vindicktive vinny Black Hole

    Originally posted by Lanny Please demonstrate

    
    niggerhole.jpg
    
    nuff said.
16. 2021-10-30 at 10:54 PM UTC

    #136
    

    vindicktive vinny Black Hole

    Originally posted by mmG Describing his own conquered people

    
    projection.
    
    all of our conqueerors adopted our superior cultures. and langguages.
17. 2021-10-31 at 12:06 AM UTC

    #137
    

    mmG African Astronaut

    Originally posted by vindicktive vinny projection.
    
    all of our conqueerors adopted our superior cultures. and langguages.

    
    Nah cuz you're not Han chinic, you are a sad mongo
18. 2021-10-31 at 1:22 AM UTC

    #138
    

    Lanny Bird of Courage

    Originally posted by troon If the laws of physics break down at the scale of a Planck, then nothing can have curvature between any two 'points' at that scale. Even defining the absolute center of a circle is impossible.

    
    I don’t think “the laws of physics break down at the scale of a Planck”, even if we work out what exactly that means and is true, would entail that “space time is granular”. Like maybe you can’t have a massive particle smaller than a Planck length, but that wouldn’t necessarily mean fields aren’t continuous.
    
    Any in any case, “circle” is still a well defined concept in discrete spaces, which I assume is the same as what you mean by “granular”.
19. 2021-10-31 at 10:21 AM UTC

    #139
    

    troon African Astronaut

    Originally posted by Lanny Any in any case, “circle” is still a well defined concept in discrete spaces, which I assume is the same as what you mean by “granular”.

    
    I don't think a circle can objectively exist in a discrete space. that seems contradictory.
20. 2021-10-31 at 12:53 PM UTC

    #140
    

    mmG African Astronaut
    Planck scale is just the point where general relativistic and quantum mechanical effects are of comparable magnitude. They produce different results at these scales and we don't know how to test such scales yet. So we cannot model stuff beyond the Planck scale yet.
    
    That will require a theory of quantum gravity. And going beyond will require studying holography like in black holes.