Black Hole Basics with Wolfram Alpha
Black Hole Basics with Wolfram Alpha
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()()+1,+1,,()
G
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In[3]:=
Black Hole
Lets Plug in the Planck Mass to get a feel for what is going on.
Lets Plug in the Planck Mass to get a feel for what is going on.
|
2GM2c
2GM 2 c |
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*
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2
m
P
G
/2
c
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(2 G planck mass)/c^2
16π2G2M4c
16π 2 G 2 M 4 c |
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(16 pi G^2 planck mass^2)/c^4
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c^4/(4 Gravitational constant planck mass)
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(c^3 hbar)/(8pi G boltzmann constant planck mass)
That’s pretty hot! It also looks pretty close(within 2 magnitudes) of the Planck Temperature.
That’s pretty hot! It also looks pretty close(within 2 magnitudes) of the Planck Temperature.
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"Planck Temperature"
Lets see if we can find a ratio between these two.
Lets see if we can find a ratio between these two.
In[30]:=
(5.637*10^30)x=1.4168*10^32
Cool! Lets see if we can find a closed form to help explain this.
Cool! Lets see if we can find a closed form to help explain this.
Cool! Lets see if we can find a closed form to help explain this.
In[32]:=
25.1339
In[36]:=
(4 pi G boltzmann constant planck mass^2)/(c hbar)
That looks like a familiar Friend!
That looks like a familiar Friend!
Lets look at our entropy equivilant.
Lets look at our entropy equivilant.
Lets look at our entropy equivilant.
So a minimal black hole is 18 bit?
18 things, where have we seen that before? 🤔
So a minimal black hole is 18 bit?
18 things, where have we seen that before? 🤔
18 things, where have we seen that before? 🤔