Correction: Fanchi, J.R. Probabilistic Basis of Parametrized Relativistic Quantum Theory in Curved Spacetime. Mathematics 2025, 13, 1657

Fanchi, John R.

doi:10.3390/math13172892

The term with

Γ_{ν μ}^{μ}

was omitted in the version of Ref. [1] published 18 May 2025. Replace Equation (34) with

i ε^{'} \frac{\partial \underline{Ψ}}{\partial s} + \sum_{a = 1}^{N} \frac{ε_{a} ε^{'}}{2} [ε^{'} \frac{\partial^{2} \underline{Ψ}}{\partial y_{a}^{μ} \partial y_{a μ}} + i ε^{″} (A_{a}^{μ} \frac{\partial \underline{Ψ}}{\partial y_{a}^{μ}} + \frac{\partial A_{a}^{μ} \underline{Ψ}}{\partial y_{a}^{μ}})] + \sum_{a = 1}^{N} \frac{ε_{a} ε^{'}}{2} Γ_{ν μ}^{μ} [(ε^{'} \frac{\partial \underline{Ψ}}{\partial y_{a ν}} + i ε^{″} A_{a}^{ν} \underline{Ψ})] - \underline{\underline{V^{'}}} \underline{Ψ} = 0 .

(34)

The term with

Γ_{ν μ}^{μ}

was omitted in the version of Ref. [1] published 18 May 2025. Replace Equation (36) with

i ε^{'} \frac{\partial \underline{Ψ}}{\partial s} = \sum_{a = 1}^{N} \frac{ε_{a}}{2} \{π_{a}^{μ} π_{a μ} \underline{Ψ} - {i ε}^{'} Γ_{ν μ}^{μ} (\frac{ε^{'}}{i} \frac{\partial}{\partial y_{a ν}} + ε ” A_{a}^{ν}) \underline{Ψ}\} + \underline{\underline{V}} \underline{Ψ}

(36)

The author states that the scientific conclusions are unaffected. This correction was approved by the Academic Editor. The original publication has also been updated.

Reference

Fanchi, J.R. Probabilistic Basis of Parametrized Relativistic Quantum Theory in Curved Spacetime. Mathematics 2025, 13, 1657. [Google Scholar] [CrossRef] [Scilit]

Disclaimer/Publisher’s Note: The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content.

© 2025 by the author. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).

Article Metrics

Citations

Article Access Statistics

Journal Statistics

Multiple requests from the same IP address are counted as one view.