You might want to check out this review of the book A Tenth of a Second: A History by Jimena Canales. Here’s just a sample:
Canales ends with an account of the debate between Bergson and Einstein in which a few references to the tenth of a second or the personal equation occur, although they are not central to the debate. A psychologist participant, Henri Piéron, in a public confrontation referred to the personal equation. Bergson refers to it in a late essay. However, Canales surprisingly does relatively little with Bergson’s reference to the cinema as a model for time consciousness. (She neglects the story that Bertrand Russell, who had never seen a film, went to one only to examine Bergson’s analogy.)