Position and momentum cannot be measured simultaneously with arbitrary precision due to the Heisenberg uncertainty principle
The claim that position and momentum cannot be measured simultaneously with arbitrary precision is a foundational and well-supported tenet of quantum mechanics known as the Heisenberg uncertainty principle.
The provided literature consistently supports the fundamental premise of the Heisenberg uncertainty principle regarding the limits of simultaneously measuring conjugate variables such as position and momentum.
S. Franke-Arnold, S. Barnett, E. Yao, J. Leach, J. Courtial, M. Padgett. Uncertainty principle for angular position and angular momentum. 2004. https://doi.org/10.1088/1367-2630/6/1/103
The study discusses the foundational role of the uncertainty principle relating position and linear momentum in physical systems.
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E. Inyang, A. Aouami, N. Ali, R. Endut, N. Ali, S. Aljunid. Determination of probability density, position and momentum uncertainties, and information theoretic measures using a class of inversely quadratic Yukawa potential. 2025. https://doi.org/10.1038/s41598-024-78969-0
The paper reinforces the Heisenberg uncertainty principle, noting that it imposes limits on the precise simultaneous measurement of conjugate variables like position and momentum.
Valahu CH, Stafford MP, Huang Z, Matsos VG, Millican MJ, Chalermpusitarak T, Menicucci NC, Combes J, Baragiola BQ, Tan TR. Quantum-enhanced multiparameter sensing in a single mode.. 2025. https://doi.org/10.1126/sciadv.adw9757
The research acknowledges that position and momentum cannot be simultaneously measured to arbitrary accuracy due to Heisenberg's uncertainty principle, though alternative modular observables can bypass standard quantum limits.
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