Chandrashekhar Limit

Chandrashekhar Limit

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The Chandrasekhar Limit: A Boundary in the Stars

The universe, in all its grandeur, operates under fundamental physical principles that govern the life and death of stars. Among the most critical discoveries in astrophysics is the Chandrasekhar Limit, a theoretical boundary that determines the fate of dying stars. This limit was formulated by the brilliant Indian-American astrophysicist Subrahmanyan Chandrasekhar in the early 20th century and remains one of the cornerstones of stellar evolution theory.

Who Was Chandrasekhar?

Subrahmanyan Chandrasekhar was born on October 19, 1910, in Lahore (then British India, now Pakistan). A prodigious talent from a young age, he pursued his studies in physics and mathematics, eventually moving to England for further education. At just 19 years old, while on a voyage to the University of Cambridge in 1930, he began working on the problem of white dwarf stars—specifically, how much mass a white dwarf could possess before it could no longer support itself against gravitational collapse.

His groundbreaking calculations led to the formulation of the Chandrasekhar Limit in 1931.

What Is the Chandrasekhar Limit?

The Chandrasekhar Limit is the maximum mass that a stable white dwarf star can have before it collapses under its own gravity. This value is approximately 1.4 times the mass of the Sun. If a white dwarf has a mass below this threshold, electron degeneracy pressure (a quantum mechanical effect) is sufficient to support it against further collapse. However, if the white dwarf’s mass exceeds this limit, it can no longer resist gravity and will continue to collapse, leading to more dramatic outcomes.

Why Is It Important?

The implications of the Chandrasekhar Limit are profound:

Stellar Evolution: It provides a dividing line in the fate of stars. Stars with final core masses below the limit become white dwarfs. Those above it may become neutron stars or collapse further into black holes.

Supernovae: When a white dwarf in a binary system gains enough mass (e.g., by accreting matter from a companion star) and crosses the Chandrasekhar Limit, it can trigger a Type Ia supernova—a thermonuclear explosion that is vital for measuring cosmic distances.

Cosmology: Type Ia supernovae, whose brightness is linked to this limit, have been instrumental in discovering the accelerated expansion of the universe and the existence of dark energy.

Recognition and Legacy

Chandrasekhar's work was initially met with skepticism, even by prominent scientists like Arthur Eddington. However, over time, observational evidence confirmed his theory, and his contribution was universally recognized. In 1983, Subrahmanyan Chandrasekhar was awarded the Nobel Prize in Physics for his theoretical studies on the physical processes of importance to the structure and evolution of stars.

He continued to make significant contributions to astrophysics throughout his career, but the Chandrasekhar Limit remains his most celebrated discovery.

Conclusion

The Chandrasekhar Limit is not just a number—it is a cosmic rule that determines the ultimate destiny of stars and shapes our understanding of the universe. Through his insight and perseverance, Subrahmanyan Chandrasekhar gave the world a deeper understanding of the lifecycle of stars, bridging the gap between quantum mechanics and cosmic-scale phenomena. His work continues to inspire generations of scientists and remains a foundational concept in modern astrophysics.