Physicist here!
Black holes are the ultimate astronomical phenomena. They are regions where the very structure of reality is contorted into something alien. Defined not by substance but by the warping of spacetime, a black hole is a solution to Einstein’s field equations wherein the metric tensor collapses into a singularity—an infinitesimal point of infinite density, where curvature diverges and our mathematical descriptions disintegrate. The event horizon, delineated by the Schwarzschild radius , marks a boundary beyond which causal relationships cease to propagate outward. Nothing—not matter, not light, not information—can escape. From within, the geometry of spacetime becomes so distorted that all paths, all timelike geodesics, inevitably lead inward, like water down an infinite drain.
Time bizzarelt dilates near the horizon; a distant observer would see infalling matter slow, redshift, and fade, asymptotically frozen in time, somewhat like a hologram eternally flickering at the border. Simultaneously for the falling observer, however, the descent is finite and inexorable as space collapses inward, and the singularity looms in a finite proper time. Should one hypothetically remain on the event horizon itself, a null surface traversed only at the speed of light, the geometry becomes especially... strange: light emitted tangentially could orbit indefinitely along the photon sphere, forming a closed loop. So in this scenario, were you to gaze precisely forward, the curvature would distort light rays around the hole to the point you'd witness the back of your own head—an optical recursion born not of mirrors but of warped topology.
Even the notion of mass becomes disquieting here. A black hole's presence is encoded in the curvature it imposes, describable via the Einstein tensor and its coupling to the stress-energy tensor , yet the interior contains no structure! No matter, no surface, only the singularity at , where predictability ends. The laws of physics as we understand them yield only silence in response. And yet, paradoxically, black holes are not immutable. Quantum field theory on curved backgrounds predicts Hawking radiation: virtual particle pairs near the horizon become real, draining the hole of mass over unimaginable timescales, leading to eventual evaporation. What remains, if anything at all, is unknown. In this way, black holes are less objects than they are boundaries of comprehension: blind spots in our cosmology where mathematics hints at truths too extreme, too indifferent, to be made fully human.