Another Proof of Born’s Rule on Arbitrary Cauchy Surfaces

Abstract In 2017, Lienert and Tumulka proved Born’s rule on arbitrary Cauchy surfaces in Minkowski space-time assuming a corresponding collapse horizontal relative to fixed Lorentz frame, as well given unitary time evolution between any two surfaces, satisfying that there is no interaction faster than light propagation light. Here, we prove from different, but equally reasonable, set of assumptions. The conclusion if detectors are placed along surface $$\Sigma $$ Σ , then the observed particle configuration random variable with distribution density $$|\Psi _\Sigma |^2$$ | Ψ 2 suitably understood. main different assumption Born rules hold spacelike hyperplane, i.e., at coordinate frame. Heuristically, this follows dynamics invariant.