His work on matrices served as a foundation for quantum mechanics, which was developed by Werner Heisenberg in 1925. Cayley also suggested that euclidean and non-euclidean geometry are special types of geometry.
Kanyang trabaho sa matrices nagsilbi bilang isang pundasyon para sa quantum mechanics, na kung saan ay binuo sa pamamagitan ng Werner Heisenberg sa 1925. Cayley din iminungkahi na euclidean at non-euclidean geometry ang mga espesyal na uri ng geometry.