Two-body problem in general relativity: A heuristic guide for the Einstein-Rosen bridge and EPR paradox

TL;DR

This paper explores how Einstein's work on the two-body problem in general relativity influenced his development of the Einstein-Rosen bridge and the EPR paradox, highlighting the historical and conceptual connections.

Contribution

It reveals the role of the two-body problem as a heuristic tool in Einstein's 1935 research on bridges and quantum paradoxes, providing historical insight.

Findings

The two-body problem guided Einstein's exploration of bridges and quantum paradoxes.

Historical analysis of Einstein's 1935 work on general relativity and quantum theory.

Connection between classical two-body solutions and quantum entanglement concepts.

Abstract

Between 1935 and 1936, Einstein was occupied with the Schwarzschild solution and the singularity within it while working in Princeton on the unified field theory and with his assistant Nathan Rosen, on the theory of the Einstein-Rosen bridges. He was also occupied with quantum theory. He believed that quantum theory was an incomplete representation of real things. Together with Rosen and Boris Podolsky he invented the EPR paradox. I demonstrate that the two-body problem in general relativity was a heuristic guide in Einstein's and collaborators' 1935 work on the Einstein-Rosen bridge and EPR paradox.