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Foundations of Physics

, Volume 45, Issue 10, pp 1222–1268 | Cite as

A Matter of Principle: The Principles of Quantum Theory, Dirac’s Equation, and Quantum Information

  • Arkady PlotnitskyEmail author
Article

Abstract

This article is concerned with the role of fundamental principles in theoretical physics, especially quantum theory. The fundamental principles of relativity will be addressed as well, in view of their role in quantum electrodynamics and quantum field theory, specifically Dirac’s work, which, in particular Dirac’s derivation of his relativistic equation of the electron from the principles of relativity and quantum theory, is the main focus of this article. I shall also consider Heisenberg’s earlier work leading him to the discovery of quantum mechanics, which inspired Dirac’s work. I argue that Heisenberg’s and Dirac’s work was guided by their adherence to and their confidence in the fundamental principles of quantum theory. The final section of the article discusses the recent work by D’Ariano and coworkers on the principles of quantum information theory, which extend quantum theory and its principles in a new direction. This extension enabled them to offer a new derivation of Dirac’s equations from these principles alone, without using the principles of relativity.

Keywords

Constructive theories Dirac’s equation Principle theories Quantum field theory Quantum information theory Quantum mechanics Relativity 

Notes

Acknowledgments

I am grateful to G. Mauro D’Ariano for sharing, in many invaluable discussions, his thinking and his knowledge of quantum theory. I would also like to thank Lucien Hardy, Gregg Jaeger, Andrei Khrennikov, and Paolo Perinotti for productive exchanges that helped my work on this article. I would like to add that the authors mentioned here, as well as the present author, have each published a series of papers on quantum foundations in the Proceedings of Växjö conferences on quantum foundations during the last decade. I gratefully acknowledge the role of these conferences in my work.

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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Purdue UniversityWest LafayetteUSA

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