Electron schwarzchild radius problem

AI Thread Summary
The Schwarzschild radius of an electron is calculated to be 1.353*10^-57m, leading to confusion when determining its volume using the formula for a sphere. The resulting volume calculation yields a value so small that it approaches zero, which can cause arithmetic underflow on calculators. This issue arises from misunderstanding operator precedence in exponentiation. Despite initial skepticism, the discussion acknowledges that applying the Schwarzschild radius concept to electrons has some relevance, as indicated by further resources on the topic. Ultimately, the conversation highlights the complexities of theoretical physics calculations and their implications.
mrllama
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The schwarszchild radius of an electron=1.353*10^-57m, and to work out the volume of a particle assuming it is spherical is 4/3*pi*radius^3 so the volume of an electron at its schwarzchild radius is 4/3*pi*1.353*10^-57^3 = 0??! WHAT DOES THIS MEAN :S
 
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I'd say it means you need to learn about operator precedence so that you don't confuse (10^-57)^3 with 10^-57^3 = 10^-185193, causing an arithmetic underflow on your calculator.
 
May I suggest it's because the volume in cubic meters in less than 10^-99, hence your calculator figures this is as good as zero. Fair enough wouldn't you say!
 
Anyways, applying the concept of Schwarzschild radius to an electron seems pointless.

EDIT: It appears it's not entirely pointless. There's even http://en.wikipedia.org/wiki/Black_hole_electron"
 
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