Between electron and black hole

[infamous]

A number of years ago I purchased a book titled "Gravitation Theory and Gravitational Collapse" written by Harrison, Thorne, Wakano, and Wheeler. This book deals primarily with what John Wheeler refers to as the ground state black hole. The notion that there exists a ground state for the formation of a black hole caused me to spend numerous hours investigating this possibility and the implications that it brings with it.

For one moment imagine a very large neutron star that has a source of neutrons streaming into it one at a time until it reaches the point where collapse to a black hole takes place. Now ask yourself the question, at what compaction state will this phenomenon commence? Wheeler gives an equation that determines this value to be somewhere in the neighborhood of 3.67*10^33 grams of mass with a radius of 5.4*10^5 centimeters. Understanding that this value must be as important a figure as the rest mass ot the electron (9.109 E-28 grams) and the classical radius of (2.818 *10^-13 centimeters), we can assume it to also be one of the constants of nature.

Now consider this; all definable mass in our physical universe is situated somewhere between the state of a single electron and this ground state black hole. Working upon this premise, one could theorize that there must be something of significance about the relationship between these two states. If anyone at this forum is interested in discussing this idea, please give me your thoughts on this topic. I have some calculations for those that find this topic interesting.

[Little Bang]

An interesting concept. I can see a relationship between the rest mass of an electron and the mass of the singularity since the singularity mass should be exactly equal to a specific number of electron masses. I can't see any relationship in the radius. As far as I know there is no way to know the radius of a singularity except in theory. I'm going to spend a little time thing about this. If you have more post it.

[infamous]

Originally Posted by Little Bang

An interesting concept. I can see a relationship between the rest mass of an electron and the mass of the singularity since the singularity mass should be exactly equal to a specific number of electron masses. I can't see any relationship in the radius. As far as I know there is no way to know the radius of a singularity except in theory. I'm going to spend a little time thing about this. If you have more post it.

How about this: r=2GM/c^2
where r=the radius of the swartzchild event horizon, 5.46 E+5
and G=the gravitational constant, 6,67286 E-8
and M=the mass of the black hole 3.6767 E+33
and c=the speed of light in a vacuum 2.99792458 E+10
all figures in cgs units.

[Little Bang]

The radius of the event horizon is not the radius of the singularity or point that contains all the mass. The radius of the event horizon is the point at which nothing can escape the gravitational field of the singularity>

[Little Bang]

iNFAMOUS, WHAT IS A GROUND STATE BLACK HOLE ?

[infamous]

Originally Posted by Little Bang

The radius of the event horizon is not the radius of the singularity or point that contains all the mass. The radius of the event horizon is the point at which nothing can escape the gravitational field of the singularity>

Very true Little Bang, if you will read my second post, I have corrected this gramatical mistake.

[infamous]

Originally Posted by Little Bang

iNFAMOUS, WHAT IS A GROUND STATE BLACK HOLE ?

A ground state black hole is one which will form as I described in my first post. There is a natural point where if mass is steadily added to this neutron star, it will reach critical mass and spontaneously collapse into a black hole. This critical value should be by any definition a constant of nature. John Wheeler has calculated a value for this constant as approx. 3.67E+33 grams. Note; a neutron star is used in this example because there are no nuclear energies being produced to resist gravitational collapse.

My research into this phenomenon has lead me to believe that there is much to be learned about the relationship between the mass of an electron and the mass of this ground state black hole. You mentioned earlier that you didn't understand why the radius sould be important in this relationship. Just remember that the radius defines the state of compaction in both cases and is in my view an important issue to consider. The radius which I have listed for the electron is of course the classical measure, while it may not be exact because of the uncertainty principal, it is of value to compare this relationship.

Consider this point; everything we call mass falls in-between these to objects. I realize that there are other objects in nature which are much smaller than the electron. The photon for example, but remember the rest mass of a photon is zero. Any mass that a photon can exhibit will be in the form of energy. The electron however has a definite rest mass, and because it is the smallest known rest mass, I have used it to establish this lower limit and of course the ground state black hole as the upper limit for the propagation of mass in our universe. I do understand that black holes can reach much larger masses, however, all black holes exhibit only this evidence by the strength of their gravitational field. Any mass hidden within is not observable and therefore I believe the upper limit for a body of mass in our universe, without the support of energy to resist collapse, will be this ground state black hole.

[Little Bang]

I'm not saying that there is no relationship, I'm just wonder how we define one without knowing the radius of the singularity.

[infamous]

Originally Posted by Little Bang

I'm not saying that there is no relationship, I'm just wonder how we define one without knowing the radius of the singularity.

Actually the singularity has no measurable radius, at least by our understanding of physical reality. The radius that I'm listing in my figures is the radius of the black holes event horizon at the moment of collapse.

[Little Bang]

Even so you may still be right. There may be some relationship to the event horizon that we just can't see right now.