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This article presents a mathematical extension of quantum theory aimed at providing a new physical interpretation and alternative calculation methods, rather than discussing practical quantum hardware or algorithms. The work focuses on foundational theoretical frameworks and their implications for understanding external reality within the context of quantum field theory.
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Density Formalism for Quantum Theory

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arXiv:2001.05869v2 Announce Type: replace Abstract: A simple mathematical extension of quantum theory is presented. As well as opening the possibility of alternative methods of calculation, the additional formalism implies a new physical interpretation of the standard theory by providing a picture of an external reality. The new formalism, developed first for the single-particle case, has the advantage of generalizing immediately to quantum field theory and to the description of relativistic phenomena such as particle creation and annihilation.

Abstract:A simple mathematical extension of quantum theory is presented. As well as opening the possibility of alternative methods of calculation, the additional formalism implies a new physical interpretation of the standard theory by providing a picture of an external reality. The new formalism, developed first for the single-particle case, has the advantage of generalizing immediately to quantum field theory and to the description of relativistic phenomena such as particle creation and annihilation.

Quantum Physics (quant-ph); History and Philosophy of Physics (physics.hist-ph)

arXiv:2001.05869 [quant-ph]

(or arXiv:2001.05869v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2001.05869 Focus to learn more arXiv-issued DOI via DataCite

Foundations of Physics, Vol. 28, pp. 1157-1190 (1998) - arXiv version is a slightly improved presentation

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