Singularities exist in Black Holes from "summary" of A Brief History of Time by Stephen W. Hawking
When a massive star runs out of fuel, it can no longer support itself against its own gravitational pull. The star collapses under its own weight, forming a black hole - a region of space where gravity is so strong that nothing, not even light, can escape. The boundary surrounding a black hole is known as the event horizon. Anything that crosses the event horizon is doomed to fall into the black hole, never to return. At the center of a black hole lies a singularity, a point where the gravitational field becomes infinitely strong and space-time curves infinitely. The laws of physics as we know them break down at the singularity, making it a point of infinite density and zero volume. In other words, a singularity is a place where the known laws of physics cease to apply, and our current understanding of the universe fails. The existence of singularities in black holes raises profound questions about the nature of space, time, and the universe itself. How can a point of infinite density exist in the real world? What happens to matter and energy that fall into a singularity? Can we ever hope to understand the true nature of black holes and the singularities they contain? While we may never be able to directly observe a singularity inside a black hole, the implications of their existence are far-reaching. Singularities challenge our understanding of the fundamental laws of physics and the very fabric of space-time. As we continue to explore the mysteries of the universe, the concept of singularities in black holes will remain a central focus of scientific inquiry and philosophical speculation.
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