In the year 2019, astronomers identified a neutron star named PSR J0740+6620 that weighed in at approximately 2.14 solar masses, pushing the boundaries of what was thought possible for such dense objects. This discovery forced physicists to reconsider the exact tipping point where a star stops being a neutron star and becomes a black hole. The transition is governed by the Tolman, Oppenheimer, Volkoff limit, a theoretical ceiling for neutron-degenerate matter that has been debated since 1939 when it was first estimated at 0.7 solar masses. By 1996, updated models placed this limit between 1.5 and 3 solar masses, yet the true value remains elusive. When a massive star exhausts its nuclear fuel, gravity takes over, crushing the core until it either stabilizes as a neutron star or collapses further into a black hole if it exceeds this critical mass threshold. The result is an object with zero volume and infinite density, a singularity that defies conventional physics.
The X-Ray Signature
Stellar black holes remain invisible to the naked eye, but they scream for attention in the X-ray spectrum when they feed. In close binary systems, a black hole can rip matter from a companion star, creating an accretion disk that heats to several hundred million degrees. This process releases energy comparable to that of neutron stars, making the two objects notoriously difficult to distinguish without precise mass measurements. All known neutron stars weigh less than 3.0 solar masses, while any compact system exceeding that limit displays no neutron star properties, strongly suggesting a black hole. The energy released as matter falls toward the event horizon is so intense that it radiates in X-rays, allowing astronomers to map the invisible. This method has identified dozens of candidates in the Milky Way, ranging from 3 to over a dozen solar masses, with distances stretching from 350 light-years to thousands of light-years away.The Mass Gap Mystery
Astronomers have long suspected that nature forbids the existence of black holes within specific mass ranges, creating what is known as the mass gap. The lower gap, roughly between 2 and 5 solar masses, represents a scarcity of observed candidates just above the maximum possible neutron star mass. The upper gap, spanning from 50 to 150 solar masses, is predicted by models of late-stage stellar evolution where pair-instability supernovae occur. In stars with masses between 130 and 250 solar masses, the production of free electrons and positrons temporarily reduces internal pressure, causing a runaway thermonuclear explosion that blows the star completely apart without leaving a remnant. This process is expected to extend the gap down to about 45 solar masses through pair-instability pulsational mass loss. The discovery of black holes within these forbidden zones challenges current theories and suggests alternative formation mechanisms, such as the merger of binary neutron stars or the collision of existing black holes.