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Autor:
Reddiger, Maik
It is a common view that von Neumann laid the foundations of a "quantum probability theory" with his axiomatization of quantum mechanics (QM). As such, it is regarded a generalization of the "classical probability theory" due to Kolmogorov. Outside o
Externí odkaz:
http://arxiv.org/abs/2405.05710
Autor:
Reddiger, Maik, Poirier, Bill
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 mathematical theory has been developed so far for this system of partial diffe
Externí odkaz:
http://arxiv.org/abs/2207.11367
Autor:
Reddiger, Maik, Poirier, Bill
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 particle position probabilities to curved spacetime. A principal motivator f
Externí odkaz:
http://arxiv.org/abs/2012.05212
Autor:
Reddiger, Maik, Poirier, Bill
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 disciplines such as fluid dynamics, quantum mechanics, and statistical phys
Externí odkaz:
http://arxiv.org/abs/1906.03330
Autor:
Reddiger, Maik
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 reference frame at each instant. As the splitting is done via the obse
Externí odkaz:
http://arxiv.org/abs/1802.04861
Autor:
Reddiger, Maik
Publikováno v:
Found. Phys. 47 (October 2017), no. 10, 1317-1367
Despite its age, quantum theory still suffers from serious conceptual difficulties. To create clarity, mathematical physicists have been attempting to formulate quantum theory geometrically and to find a rigorous method of quantization, but this has
Externí odkaz:
http://arxiv.org/abs/1509.00467
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Akademický článek
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Autor:
Reddiger, Maik, Poirier, Bill
Publikováno v:
Quantum Studies: Mathematics & Foundations; Apr2025, Vol. 12 Issue 1, p1-52, 52p
Autor:
Reddiger, Maik1 maik.reddiger@campus.tu-berlin.de
Publikováno v:
Foundations of Physics. Oct2017, Vol. 47 Issue 10, p1317-1367. 51p.