The Genesis of the Uncertainty Principle: A Historical-Epistemological Analysis of the Werner Heisenberg-Wolfgang Pauli Correspondence (1927)

Authors

DOI:

https://doi.org/10.5007/2175-7941.2026.e111400

Keywords:

Uncertainty Principle, Quantum Mechanics, History and Philosophy of Science, Scientific Correspondence, Measurement and Observation

Abstract

This article investigates the historical–epistemological genesis of the Uncertainty Principle through an analysis of the scientific correspondence between Werner Heisenberg and Wolfgang Pauli, with particular emphasis on the long letter dated 23 February 1927, written immediately prior to the publication of the paper in which the principle was formally introduced. In contrast to retrospective narratives that treat uncertainty as a direct consequence of the mathematical formalism of Quantum Mechanics, the study demonstrates that the principle emerged from a gradual process of conceptual elaboration grounded in operational reflections on measurement, the redefinition of the physical meaning of classical quantities, and the role of observation. A close, commented reading of the letter reveals an intermediate stage in which relations of indeterminacy appear as heuristics tied to conditions of measurability, before being discursively stabilized as a general principle in the published article of 1927. The comparison between private correspondence and public exposition makes it possible to identify conceptual continuities, epistemological shifts, and rhetorical strategies associated with the consolidation of the principle. It is argued that the construction of the Uncertainty Principle is best understood as the outcome of a collective and argumentative process, shaped by epistolary exchange, institutional debate, and public controversy, including the discussions at the 1927 Solvay Conference. By foregrounding primary sources, the article contributes to a historically informed understanding of Quantum Mechanics and to a critical reassessment of excessively formalist interpretations of its foundations.

Author Biographies

Marcos Antonio Barros, Universidade Estadual da Paraíba

Possui graduação em Licenciatura em Física pela Universidade Estadual da Paraíba (1985), Especialização em Ensino das Ciências (UEPB - 1992), Mestrado em Ensino das Ciências pela Universidade Federal Rural de Pernambuco (2006) e Doutorado em História, Filosofia e Ensino de Ciências pela UFBA. Professor do Departamento de Física da Universidade Estadual da Paraíba, onde leciona algumas disciplinas como: Física Geral, Física Moderna, Física-Matemática, Mecânica Quântica e História da Física. Professor do Programa de Pós-Graduação em Ensino de Ciências e Educação Matemática - UEPB - Mestrado e Doutorado.https://orcid.org/0000-0002-4553-4503 (Texto informado pelo autor)

Jenner Barretto Bastos Filho, Departamento de Física

He is Professor Emeritus of the Federal University of Alagoas. He holds a Bachelor’s degree in Physics from the Federal University of Bahia (1971), a Master’s degree in Physics from the State University of Campinas (1975), and a PhD in Physics from ETH Zürich (1982). He completed a postdoctoral fellowship at the University of Bari (1993).

He served as Full Professor at the Institute of Physics of the Federal University of Alagoas. His academic experience includes the areas of General Physics, Foundations of Quantum Physics, Physics Education, History and Philosophy of Science, Environmental Education, and Development Theories. He was a member of the Research Ethics and Bioethics Committee of UFAL.

He has served on the editorial boards of the journals Caderno Brasileiro de Ensino de Física, Investigações em Ensino de Ciências, and Revista Iberoamericana de Ciências Ambientais, as well as in the Graduate Program in Development and Environment (PRODEMA/UFAL).

He is the author of the books What Is a Scientific Theory? (1st ed. 1998; 2nd ed. 1999) and Reductionism: An Epistemological Approach (2005), both published by the Federal University of Alagoas Press. In collaboration with colleagues, he also organized two additional books. From 1997 to 2007 he taught the course “Logic and Critique of Scientific Investigation” in the PRODEMA graduate program at UFAL.

He has authored book chapters published in Brazil, Italy, the United States, Canada, and the Netherlands. In 2006 he received the University Merit Medal – UFAL 45 Years.

He is a Corresponding Member of the Academia Paraense de Ciências. At the meeting of the University Council of the Federal University of Alagoas (CONSUNI/UFAL) held on September 10, 2024, he was unanimously nominated to receive the honorary title of Professor Emeritus (Resolution No. 115/2024-CONSUNI/UFAL). The honorary title of Professor Emeritus of the Federal University of Alagoas was formally conferred upon him in a solemn ceremony on July 17, 2025.

Pablo Francisco Honorato Sampaio, Instituto Federal de Educação Ciência e Tecnologia da Paraíba

He holds a Bachelor’s degree in Physics Education from the State University of Paraíba (2009) and a Master’s degree in Physics from the Federal University of Campina Grande (2012). He is currently a Professor in the EBTT career (Basic, Technical and Technological Education) at the Federal Institute of Education, Science and Technology of Paraíba (IFPB), Patos campus. (Text provided by the author).

References

BACCIAGALUPPI, G.; VALENTINI, A. Quantum Theory at the Crossroads: reconsidering the 1927 Solvay Conference. Cambridge: Cambridge University Press, 2009.

BELL, J. S. Against Measurement, Physics World, p. 33-40, 1992.

BELLER, Mara. Quantum dialogue: the making of a revolution. Chicago: University of Chicago Press, 1999.

BOHR, N. Discussion with Einstein on epistemological problems in atomic physics. In: WHEELER, J. A.; ZUREK, W. H. (Org.). Quantum Theory and Measurement. Princeton: Princeton University Press, 1983. p. 200-241.3

BUNGE, M. Epistemologia: curso de atualização. Tradução: Claudio Navarra. 2. ed. São Paulo: T. A Queiroz, 1987.

CAMILLERI, K. Heisenberg and the interpretation of quantum mechanics: the physicist as philosopher. Studies in History and Philosophy of Modern Physics, Oxford, v. 40, n. 3, p. 290-302, 2009.

CASSIDY, D. C. Beyond uncertainty: Werner Heisenberg and the dynamics of scientific change. Physics in Perspective, Basel, v. 22, n. 1, p. 1-29, 2020.

CASSIDY, D. C. Uncertainty: the life and science of Werner Heisenberg. New York: W. H. Freeman, 1992.

FREIRE JR., O.; PESSOA JR., O. (Orgs.). Teoria quântica: estudos históricos e implicações culturais. Campina Grande: EDUEPB, 2011.

HOWARD, D. Who invented the “Copenhagen interpretation”? A study in mythology. Philosophy of Science, v. 71, n. 5, p. 669-682, 2004.

JAMMER, M. The philosophy of quantum mechanics: the interpretations of quantum mechanics in historical perspective. New York: John Wiley & Sons, 1974.

KRAGH, H. Quantum Generations: A History of Physics in the Twentieth Century. Princeton: Princeton University Press, 1999.

MARTINS, R. A. Introdução à história e filosofia da ciência. São Paulo: Livraria da Física, 2006.

MEHRA, J.; RECHENBERG, H. The historical development of quantum theory. v. 6. The completion of quantum mechanics 1926-1941. New York: Springer, 2000.

MONTEIRO, M. A.; NARDI, R. História e filosofia da ciência no ensino de física moderna. Revista Brasileira de Ensino de Física, São Paulo, v. 39, n. 1, e1403, 2017.

OSTERMANN, F; RICCI, T. Interpretações da Mecânica Quântica no ensino de física. Revista Brasileira de Ensino de Física, São Paulo, v. 26, n. 1, p. 15-24, 2004.

PAIS, A. Inward bound: of matter and forces in the physical world. Oxford: Oxford University Press, 1982.

PEDUZZI, L. O. Q. Sobre a utilização didática da História da Ciência. Caderno Brasileiro de Ensino de Física, Florianópolis, v. 28, n. 3, p. 426-443, 2011.

PESSOA JR., O. Conceitos de física quântica. 2. ed. São Paulo: Livraria da Física, 2006.

VIDEIRA, A. A. P. História e filosofia da ciência: campos interdisciplinares. Scientiae Studia, São Paulo, v. 11, n. 2, p. 351-368, 2013.

Published

2026-08-26

How to Cite

Barros, M. A., Bastos Filho, J. B., & Sampaio, P. F. H. (2026). The Genesis of the Uncertainty Principle: A Historical-Epistemological Analysis of the Werner Heisenberg-Wolfgang Pauli Correspondence (1927). Caderno Brasileiro De Ensino De Física, 43(2), 378–396. https://doi.org/10.5007/2175-7941.2026.e111400

Issue

Section

História, Filosofia e Sociologia da Ciência e Ensino de Ciências/Física