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In the late 1980s, Sam Edwards proposed a possible statistical-mechanicalframework to describe the properties of disordered granular materials. A keyassumption underlying the theory was that all jammed packings are equallylikely. In the intervening years it has never been possible to test this boldhypothesis directly. Here we present simulations that provide direct evidencethat at the unjamming point, all packings of soft repulsive particles areequally likely, even though generically, jammed packings are not. Typically,jammed granular systems are observed precisely at the unjamming point sincegrains are not very compressible. Our results therefore support Edwards'original conjecture. We also present evidence that at unjamming theconfigurational entropy of the system is maximal.

Numerical test of the Edwards conjecture shows that all packings are equally probable at jamming