Abraham H. Taub (1911–1999): The Architect of Relativistic Hydrodynamics
Abraham Haskel Taub was a polymathic physicist and mathematician whose career spanned the most transformative decades of 20th-century science. A bridge between the abstract world of General Relativity and the pragmatic realm of high-speed computing, Taub’s work provided the mathematical scaffolding for our understanding of shock waves, black holes, and the early universe.
1. Biography: From Chicago to Berkeley
Abraham Taub was born on February 1, 1911, in Chicago, Illinois. He displayed an early aptitude for mathematics, earning his B.S. from the University of Chicago in 1931. He then moved to Princeton University, which was at that time the epicenter of theoretical physics and mathematics.
At Princeton, Taub studied under the legendary geometer Oswald Veblen, completing his Ph.D. in 1935. This period placed him in the immediate orbit of intellectual giants like Albert Einstein and John von Neumann.
Academic Trajectory:
- 1935–1948: Taub held a faculty position at the University of Washington. During World War II, he took a leave of absence to work on the mathematics of shock waves and blast effects for the National Defense Research Committee.
- 1948–1964: He joined the University of Illinois at Urbana-Champaign. Here, he pivoted toward the burgeoning field of computer science, eventually becoming the Director of the Digital Computer Laboratory. He was instrumental in the development of the ILLIAC (Illinois Automatic Computer) series.
- 1964–1978: Taub moved to the University of California, Berkeley, as a Professor of Mathematics. He served as the Director of the Computer Center and remained at Berkeley until his retirement, continuing his research as Professor Emeritus until his death on September 26, 1999.
2. Major Contributions: Relativity, Fluids, and Computing
Taub’s intellectual footprint is found in three distinct but overlapping areas:
Relativistic Hydrodynamics
Taub is perhaps most famous for extending the laws of fluid dynamics into the realm of General Relativity. He developed the Taub adiabat, a relativistic version of the Rankine-Hugoniot relations. This allowed physicists to calculate how shock waves behave when traveling at near-light speeds—a necessity for modern astrophysics and the study of supernovae.
The Taub-NUT Space
In 1951, Taub discovered a unique solution to Einstein’s field equations known as the Taub space. Later, in 1963, Ezra Newman, Theodore Unti, and Louis Tamburino generalized this solution, resulting in the Taub-NUT space. This is a "cosmological model" that serves as a vital mathematical laboratory; it is often described as a "counter-example to everything," helping physicists understand the limits of spacetime curvature and singularities.
Variational Principles
Taub introduced a variational principle for perfect fluids in General Relativity. By treating the fluid as a geometric object within spacetime, he allowed researchers to derive equations of motion for complex systems using the principle of least action, a foundational tool in theoretical physics.
Numerical Relativity
Long before "supercomputing" was a household term, Taub realized that Einstein’s equations were too complex to solve by hand for realistic scenarios (like colliding stars). He became a pioneer of Numerical Relativity, using early computers to simulate gravitational phenomena.
3. Notable Publications
Taub was a prolific writer, but several papers stand as pillars of the field:
- Relativistic Rankine-Hugoniot Equations (1948): Published in the Physical Review, this paper laid the groundwork for relativistic shock wave theory.
- Empty Space-Times Admitting a Three Parameter Group of Motions (1951): This work introduced what we now call Taub space and categorized spacetimes based on their symmetries (Bianchi types).
- A General Relativistic Variational Principle for Perfect Fluids (1954): This paper provided the mathematical framework for integrating fluid dynamics into the geometry of spacetime.
- Studies in Mathematical Physics (1971): A collection of essays and research that highlights his multidisciplinary approach.
4. Awards & Recognition
While Taub did not seek the limelight, his peers recognized him as a foundational figure in mathematical physics:
- Guggenheim Fellowships: He was awarded this prestigious fellowship twice (1946 and 1953), allowing him to pursue advanced research in mathematics.
- American Academy of Arts and Sciences: Elected as a Fellow in 1972.
- International Society on General Relativity and Gravitation: He served as President (1971–1974), cementing his status as a leader in the global physics community.
- The Taub-NUT Legacy: The fact that a specific type of spacetime bears his name is considered one of the highest honors in the field of General Relativity.
5. Impact & Legacy
Taub’s legacy is twofold. In Theoretical Physics, his work on the Taub-NUT space remains a central topic in discussions about the "flatness" of the universe and the nature of time-loops (closed timelike curves).
In Computer Science, he was one of the first "computational physicists." By leading the development of the ILLIAC computers, he helped transition physics from a purely theoretical and experimental discipline into a computational one. Today’s massive simulations of black hole mergers (which confirmed the existence of gravitational waves) are direct descendants of the numerical methods Taub championed in the 1950s.
6. Collaborations
Taub’s career was defined by his ability to work across disciplines:
- John von Neumann: Taub worked closely with von Neumann on the development of early computers and the mathematics of shock waves. After von Neumann’s death, Taub edited his Collected Works (6 volumes), a monumental task that preserved von Neumann’s legacy.
- Oswald Veblen: His early training with Veblen gave him the geometric rigors necessary to tackle Einstein’s equations.
- The "Relativity Renaissance" Figures: He was a contemporary and collaborator with the likes of Subrahmanyan Chandrasekhar and Charles Misner, often acting as the mathematical "anchor" for their physical theories.
7. Lesser-Known Facts
- The "NUT" Moniker: While "Taub" refers to Abraham, the "NUT" in Taub-NUT space is often joked about in physics circles as being a commentary on how "crazy" or "nutty" the spacetime’s properties are (it contains regions where time behaves like space). In reality, it simply stands for the initials of Newman, Unti, and Tamburino.
- A "Computer" Pioneer: At the University of Illinois, Taub didn't just use computers; he helped build them. He was a key figure in the transition from vacuum tube machines to transistor-based computing.
- The Einstein Connection: Taub was one of the few people who could claim to have discussed physics with Einstein at the Institute for Advanced Study while simultaneously holding a deep understanding of the engineering required to build a digital computer.
Abraham H. Taub remains a "physicist’s physicist"—a scholar whose name is etched into the very geometry of the universe he sought to explain.