A native of Paris, Vigier earned his PhD in mathematics from University of Geneva in 1946 with a study on Infinite Sequences of Hermitian Operators.
[2] In 1948 he was appointed assistant to Louis de Broglie, a position he held until the latter's retirement in 1962.
Vigier was professor emeritus in the Department of Gravitational Physics at Pierre et Marie Curie University in Paris.
He authored more than 300 scientific papers, and co-authored and edited a number of books and conference proceedings.
He was a member of the editorial board of Physics Letters A. Vigier was a proponent of the stochastic interpretation of quantum mechanics, which was based on the ideas of de Broglie and David Bohm.