|   | 
				
					
	
		  | 
	 
	
		| Paper: | 
		“The Waters I am Entering No One yet Has Crossed”: Alexander Friedman
 and the Origins of Modern Cosmology* | 
	 
	
		| Volume: | 
		471, Origins of the Expanding Universe: 1912-1932 | 
	 
	
		| Page: | 
		71 | 
	 
	
		| Authors: | 
		Belenkiy, A. | 
	 
	
	
		| Abstract: | 
		Ninety years ago, in 1922, Alexander Friedman (1888–1925) demonstrated
 for the first time that the General Relativity equations admit non-static
 solutions and thus the Universe may expand, contract, collapse, and even be
 born. The fundamental equations he derived still provide the basis for the
 current cosmological theories of the Big Bang and the Accelerating Universe.
 Later, in 1924, he was the first to realize that General Relativity allows the
 Universe to be infinite. Friedman's ideas initially met strong resistance from
 Einstein, yet from 1931 he became their staunchest supporter. This essay
 connects Friedman's cosmological ideas with the 1998–2004 results of the
 astronomical observations that led to the 2011 Nobel Prize in Physics. It also
 describes Friedman's little known topological ideas of how to check General
 Relativity in practice and compares his contributions to those of Georges
 Lemaître. Recently discovered corpus of Friedman's writings in the Ehrenfest
 Archives at Leiden University sheds some new light on the circumstances
 surrounding his 1922 work and his relations with Paul Ehrenfest. | 
	 
	
		| 
			
			
		 | 
	 
	
		  | 
	 
 
					 
				 | 
				  |