General relativity priority dispute

Lore & Background

Albert Einstein had worked on gravitational theory since 1912, developing much of the framework of general relativity, including tensor theory, non-Euclidean geometry, redshift, and light bending. David Hilbert, a mathematician unequaled in his generation, met Einstein in summer 1915 and started working on an axiomatic system for a unified field theory combining Gustav Mie's electromagnetism with Einstein's relativity. They corresponded extensively throughout fall 1915.

In November 1915, Einstein gave four lectures in Berlin on 4, 11, 18, and 25 November, publishing non-covariant field equations on 4 November and covariant equations on 11 November. Hilbert lectured at the Göttingen Academy on 20 November, and his presentation and proofs are at the heart of the dispute. Einstein submitted the correct field equations on 25 November, published on 2 December without mentioning Hilbert. Hilbert's paper took longer to appear, with galley proofs marked December 6, 1915, and was rewritten for publication in March 1916, adding credit to Einstein.

Historians debate the consequences of their friendly correspondence on the resulting publications. Undisputed facts include that Einstein and Marcel Grossmann first proposed describing gravity by a pseudo-Riemannian metric in 1913, and that Hilbert invited Einstein to Göttingen for six two-hour lectures in June–July 1915. Hilbert's 1924 version of his article stated that Einstein in his last publications returned directly to the equations of Hilbert's theory.

Reader's Guide

The general relativity priority dispute highlights the complex interplay between physics and mathematics in scientific discovery. Einstein's decade-long struggle to formulate general relativity culminated in November 1915, while Hilbert independently derived the field equations using an elegant variational principle after a brief but intense period of correspondence. The dispute centers on whether Hilbert's 20 November lecture and subsequent paper anticipated Einstein's 25 November field equations, or whether Einstein's earlier work provided the essential framework. Historians note that Hilbert's theory was a more ambitious attempt to unify gravity with electromagnetism, while Einstein focused on gravity alone. The dispute never involved direct conflict between the two men; Hilbert nominated Einstein for the Bolyai prize in 1915 and credited Einstein's 'magnificent theory' in his final paper. However, later statements by Hilbert referring to 'my theory' and the 1924 claim that Einstein returned to Hilbert's equations have fueled historical analysis. The episode illustrates how priority disputes can arise from parallel work, even amid collaboration, and underscores the importance of careful historical documentation of scientific discovery.

Did You Know?

• Einstein and Hilbert corresponded extensively throughout fall 1915, culminating in lectures by both men in late November.
• Hilbert invited Einstein to the University of Göttingen for a week to give six two-hour lectures on general relativity in June–July 1915.
• Einstein sent Hilbert proofs of his papers of 4 and 11 November 1915.
• Hilbert's paper took considerably longer to appear than Einstein's; galley proofs were marked December 6, 1915.