Linguistic Interpretation of Quantum Mechanics; Projection Postulate


As the fundamental theory of quantum information science, recently I proposed the linguistic interpretation of quantum mechanics, which was characterized as the linguistic turn of the Copenhagen interpretation of quantum mechanics. This turn from physics to language does not only extend quantum theory to classical theory but also yield the quantum mechanical world view. Although the wave function collapse (or more generally, the post-measurement state) is prohibited in the linguistic interpretation, in this paper I show that the phenomenon like wave function collapse can be realized. That is, the projection postulate is completely clarified in the linguistic interpretation.

Share and Cite:

Ishikawa, S. (2015) Linguistic Interpretation of Quantum Mechanics; Projection Postulate. Journal of Quantum Information Science, 5, 150-155. doi: 10.4236/jqis.2015.54017.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] Ishikawa, S. (2006) Mathematical Foundations of Measurement Theory. Keio University Press Inc., Tokyo, 335 p.
[2] Ishikawa, S. (2011) A New Interpretation of Quantum Mechanics. Journal of Quantum Information Science, 1, 35-42.
[3] Ishikawa, S. (2012) Quantum Mechanics and the Philosophy of Language: Reconsideration of Traditional Philosophies. Journal of Quantum Information Science, 2, 2-9.
[4] Ishikawa, S. (2015) Linguistic Interpretation of Quantum Mechanics—Towards World-Description in Quantum Language. Shiho-Shuppan Publisher, Tsukuba, 409 p.
This Preprint was published as Research Report KSTS/RR-15/001, Keio University, Yokohama, 416 p.
[5] Howard, D. (2004) Who Invented the “Copenhagen Interpretation”? A Study in Mythology. Philosophy of Science, 71, 669-682.
[6] Sakai, S. (1971) -Algebras and -Algebras, Ergebnisse der Mathematik und ihrer Grenzgebiete (Band 60). Springer-Verlag, Berlin.
[7] Yosida, K. (1980) Functional Analysis. 6th Edition, Springer-Verlag, Berlin.
[8] Davies, E. B. (1976) Quantum Theory of Open Systems. Academic Press, London.
[9] von Neumann, J. (1932) Mathematical Foundations of Quantum Mechanics. Springer Verlag, Berlin.
[10] Lüders, G. (1951) über die Zustandsänderung durch den Messprozess. Annals of Physics (Leipzig), 6, 322-328.

Copyright © 2021 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.