20 citations · 47 across the 7 of their papers we have counts for
8 papers
On the applicability of Kolmogorov's theory of probability to the description of quantum phenomena. Part II: Bell inequalities
Maik Reddiger
Among the various "no-go theorems" in the foundations of quantum mechanics, Bell inequalities are among the few, which do not implicitly rely on the mathematical structure of quant…
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…
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…
Towards a mathematical Theory of the Madelung Equations
Maik Reddiger, Bill Poirier
Even though the Madelung equations are central to many 'classical' approaches to the foundations of quantum mechanics such as Bohmian and stochastic mechanics, no coherent mathemat…
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…
The Differentiation Lemma and the Reynolds Transport Theorem for Submanifolds with Corners
Maik Reddiger, Bill Poirier
The Reynolds Transport Theorem, colloquially known as 'differentiation under the integral sign', is a central tool of applied mathematics, finding application in a variety of disci…
An Observer's View on Relativity: Space-Time Splitting and Newtonian Limit
Maik Reddiger
We motivate and construct a mathematical theory for the separation of space and time in general relativity. The formalism only requires a single observer and an optional choice of…
The Madelung Picture as a Foundation of Geometric Quantum Theory
Maik Reddiger
Despite its age, quantum theory still suffers from serious conceptual difficulties. To create clarity, mathematical physicists have been attempting to formulate quantum theory geom…