I've read a play (The Square Root of A Sonnet) about the physicist who proposed the Chandrasekhar limit, Subramanyan Chandrasekhar, and had a doubt regarding an argument that was put forward regarding the formation of black holes. I wanted to write an article about it but wanted to ensure that my understanding about the entire topic was right. Do inform me of any further details I may have missed. This is more or less an concept-understanding attempt and I hope it's well-received by the site.
Black Hole Formation:-
A Black Hole is formed when the escape velocity of any object is greater than the speed of light. This causes an immense gravitational pull whereby the object would begin to collapse in on itself. As it does, the objects particles come closer and closer (increasing the density to an enormous amount simultaneously).
But in the process of the particles going close to one another, their position is becoming more and more well defined due to which their velocity is becoming more uncertain (as per the founding principle in Quantum Mechanics-Heisenberg's Uncertainty Principle which states
$$\Delta x \Delta p =\frac{\hbar}{2}$$
). Hence by one of the pillars in modern physics, the particles begin to vibrate in an extreme speed. Due to this, the object begins to move outward (i.e.expands instead of collapsing)
However, their speed is only limited by another pillar of modern physics-Special relativity which shows that the maximum speed any object can achieve is the speed of light. Therefore, by the laws of Special Relativity, every particle attains a speed close to the speed of light cannot move any faster. Therefore, the particles continue to collapse (since the gravitational pull is far stronger) and forms a black hole - A structure formed by the laws of Quantum Mechanics and Special Relativity but seemingly defies both.
Is this all correct or have I missed something? Moreover, is there anything further I could add?