20 citations · 47 across the 7 of their papers we have counts for
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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…