Skilling and Knuth have some interesting papers on the subject: The Symmetrical Foundation of Measure, Probability, and Quantum Theories https://onlinelibrary.

Skilling and Knuth have some interesting papers on the subject: The Symmetrical Foundation of Measure, Probability, and Quantum Theories https://onlinelibrary.wiley.com/doi/full/10.1002/andp.201800057 https://onlinelibrary.wiley.com/doi/full/10.1002/andp.201800... The ABC of Physics https://www.mdpi.com/2673-9984/3/1/9/htm https://www.mdpi.com/2673-9984/3/1/9/htm