The debate that prompted the manuscript began in the mid-1940s. Physicist Edmund Whittaker argued in a May 1943 lecture that quantum mechanics had finally proven classical determinism impossible. Satyendra Nath Bose made a similar case in January 1944, prompting a flurry of responses in Nature throughout the year.
Whittaker's central argument involved a thought experiment with photons and a polarising filter. He contended that if a photon carried a hidden variable determining its behaviour, changing the filter's angle while the photon was in flight would render that instruction useless, proving hidden variables could not exist.
Schrödinger, following the debate, identified a critical flaw. Whittaker had assumed the hidden variable could only take one of two values. Schrödinger constructed a mathematical model where a photon's hidden variable could take any value between zero and one, with a deterministic rule updating it after each interaction. This model reproduced quantum mechanics' probabilistic predictions without requiring pure randomness.
The manuscript's discovery sheds light on Schrödinger's own position. He is often painted as a champion of determinism, but the manuscript shows his views were more complex. Influenced by physicist Franz Exner, he described classical determinism as a 'philosophic prejudice' as early as the 1920s. 'Experimental evidence + logical deduction can never prove that either the deterministic or the indeterministic view is impossible,' he wrote.
Why the manuscript remained unpublished for over 80 years is a mystery. Del Santo suggests Schrödinger may have learned of a similar, if less complete, model from physicist Heinrich Pelzer in 1944 and decided the point had already been made.
