Schwarzchild Radii for Various Particles and Planck's Mass

In summary, the Schwarzchild radius is a concept in black hole physics that represents the radius at which the escape velocity exceeds the speed of light. It is calculated using the formula Rs = 2GM/c^2 and is directly proportional to the mass of the object. Planck's mass is the smallest mass at which a black hole can exist, as it is the point at which the Schwarzchild radius becomes equal to the Compton wavelength of a particle. The radius cannot be exceeded and if an object were to collapse to a radius smaller than its Schwarzchild radius, it would form a singularity with infinite density and gravity.
  • #1
Kazz
14
0
Electron 1.35286150173888E-57

Alpha Particle 9.86817701940734E-54

Deuteron 4.96565509720363E-54

Helion 7.43517160660937E-57

Muon 2.79728851560698E-55

Neutron 2.48748433759427E-54

Proton 2.48406026119433E-54

Tau 4.70410373924314E-54

Triton 7.43657350963157E-54

Planck's Mass 3.23239962162233E-35

(Mass=Kg)

If you need a Schawrzchild Radius for anything, tell me the mass and I will calculate it.
 
Last edited:
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  • #2
What is your length unit (m, cm, km ?)?
 
  • #3
I want to say meters, not entirely sure.
 
  • #4
Kazz said:
not entirely sure.
Without proper units, every number is pointless.
In addition, you do not quote uncertainties.

You know that computers can do the same?
 
  • #5
It's meters.
 
  • #6
Seriously. Why are you so rude.
 

Related to Schwarzchild Radii for Various Particles and Planck's Mass

1. What is a Schwarzchild radius and why is it important?

The Schwarzchild radius, named after the German physicist Karl Schwarzchild, is the radius at which the escape velocity from a non-rotating black hole exceeds the speed of light. It is an important concept in understanding the properties of black holes and their gravitational pull.

2. How is the Schwarzchild radius calculated for different particles?

The Schwarzchild radius for a particle can be calculated using the formula Rs = 2GM/c^2, where G is the gravitational constant, M is the mass of the particle, and c is the speed of light. For example, the Schwarzchild radius for a proton with a mass of 1.67 x 10^-27 kg would be approximately 2.48 x 10^-55 meters.

3. What is the significance of Planck's mass in relation to the Schwarzchild radius?

Planck's mass, named after the German physicist Max Planck, is the mass at which the Schwarzchild radius becomes equal to the Compton wavelength of a particle. This is the point at which the particle's gravitational pull becomes so strong that it forms a black hole. Planck's mass is considered to be the smallest mass at which a black hole can exist.

4. How does the Schwarzchild radius change for different masses?

The Schwarzchild radius is directly proportional to the mass of the object. This means that as the mass increases, the radius also increases. For example, the Schwarzchild radius for a black hole with a mass of one million solar masses would be much larger than the Schwarzchild radius for a black hole with a mass of one solar mass.

5. Can the Schwarzchild radius be exceeded?

No, the Schwarzchild radius is a fundamental physical limit and cannot be exceeded. If an object were to be compressed to a radius smaller than its Schwarzchild radius, it would collapse into a singularity, which is a point of infinite density and gravity.

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