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pro vyhledávání: '"Ellerman, David"'
Autor:
Ellerman, David
This is an essay in what might be called ``mathematical metaphysics.'' There is a fundamental duality that run through mathematics and the natural sciences. The duality starts as the logical level; it is represented by the Boolean logic of subsets an
Externí odkaz:
http://arxiv.org/abs/2409.18134
Autor:
Ellerman, David
The Born Rule plays a critical role in quantum mechanics (QM) since it supplies the link between the mathematical formalism and experimental results in terms of probabilities. The Born Rule does not occur in ordinary probability theory. Where then do
Externí odkaz:
http://arxiv.org/abs/2310.04188
Autor:
Ellerman, David
This paper presents a new `partitional' approach to understanding or interpreting standard quantum mechanics (QM). The thesis is that the mathematics (not the physics) of QM is the Hilbert space version of the math of partitions on a set and, convers
Externí odkaz:
http://arxiv.org/abs/2304.09644
Autor:
Ellerman, David
The purpose of this paper is to show that the mathematics of quantum mechanics (QM) is the mathematics of set partitions (which specify indefiniteness and definiteness) linearized to vector spaces, particularly in Hilbert spaces. That is, the math of
Externí odkaz:
http://arxiv.org/abs/2208.00384