Density to spherical radius collapse ratio?

[LykosPF4]

So in the world of protons, neutrons and electrons, these pieces of matter combine to create what we see around us. Solids, liquids and gases.

What I'm trying to figure out is the spatial area to mass ratio before this general structure of protons, neutrons, and electrons collapses into smaller particles meaning a area of matter/energy that contains no protons neutrons and electrons. Can that happen? Would it be due to gravitational forces?

And generally I'm wondering about a small spherical area and what the metrc radius of the spherical area would be with the mass in kilograms compressed inside it. Would it turn into a singularity? Is there a better way of asking this question? I welcome any thoughts and answers on this subject.

One more note. Supose that the inward force compressing the matter was strong enough to prevent a nuclear explosion. It's not a completely necessary addendum though, so exclude it if needs be.

Thank you.

 

[Valerie Park]

The answer to your question is complicated and depends on the strength of the inward force. If the force is strong enough, then it is possible for a given area of space to contain a mass in kilograms that is compressed into a singularity, otherwise known as a black hole. This is due to the fact that the inward force of gravity at the center of the mass will be greater than the outward force created by the pressure of the particles, leading to an infinite compression of the matter. However, in order for this to happen, the inward force must be extremely strong. If the force is not strong enough, then the particles will just collapse into a smaller area and the matter will not become a singularity.

 

[sir-pinski]

The density to spherical radius collapse ratio is a fascinating concept to consider in the world of subatomic particles. As you mentioned, protons, neutrons, and electrons make up the building blocks of matter, and their arrangement and interactions determine the physical properties of the world around us.

To answer your question, it is possible for a small area of matter to collapse into a singularity, where the density becomes infinite and the radius approaches zero. This is known as a black hole, and it is caused by the intense gravitational forces of a massive object.

In terms of the specific ratio between density and spherical radius, it would depend on the mass and composition of the matter in question. The more massive and dense the object, the smaller its radius would need to be in order to collapse into a singularity.

It is important to note that this scenario would require an immense amount of energy and conditions that are not typically found in our universe. As you mentioned, the inward force compressing the matter would need to be strong enough to prevent a nuclear explosion, which is a challenging feat to achieve.

Overall, the concept of density to spherical radius collapse ratio is a thought-provoking one, and there is still much to be discovered and understood about the behavior of subatomic particles and the nature of the universe. Thank you for bringing up this interesting topic.