3 papers
quant-ph2026
A solution of the quantum time of arrival problem via mathematical probability theory
Maik Reddiger
Time of arrival refers to the time a particle takes after emission to impinge upon a suitably idealized detector surface. Within quantum theory, no generally accepted solution exis…
quant-ph2025
On the applicability of Kolmogorov's theory of probability to the description of quantum phenomena. Part I: foundations
Maik Reddiger
By formulating the axioms of quantum mechanics, von Neumann also laid the foundations of a "quantum probability theory". As such, it is regarded a generalization of the "classical…
math-ph2025
Towards a Probabilistic Foundation of Relativistic Quantum Theory: The One-Body Born Rule in Curved Spacetime
Maik Reddiger, Bill Poirier
In this work we establish a novel approach to the foundations of relativistic quantum theory, which is based on generalizing the quantum-mechanical Born rule for determining partic…