Factual error: At the reception after Ed Walters delivers his fake scientific lecture, Miss Boyd is congratulating him and pesters him for more. She asks: "Do you know, I believe that you used DeBroglie's formula for the length of the pilot wave. I forgot that bit. Could you remind me?" So then Ed clumsily responds by way of secret signals from Einstein & company. What they relay to him is x = w^3/pi, but this has no relation to DeBroglie's formula.
Factual error: Following his lecture on cold fusion, Ed Walters attends a reception, mingling with the academic crowd. At one point, millionaire Louis Bamberger approaches Walters and excitedly presents him with a Bic 4-Color Ballpoint Pen, which suggests that the pen was new on the market in the early-to-mid 1950s. Problem is, the Bic 4-Color Ballpoint Pen wasn't invented and marketed until 1974, some 20 years after the setting of this film.
Factual error: When Albert and 'the boys' are driving around in one scene, 'Tutti Frutti' is playing on the radio. Tutti Frutti wasn't released until November of 1955. Albert died in April that year.