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

The term with ${\mathsf{\Gamma }}_{\nu \mu }^{\mu }$ was omitted in the version of Ref. [1] published 18 May 2025. Replace Equation (34) with

$$\begin{gathered} i{\epsilon }^{\prime }\hspace{0.33em}{\displaystyle \frac{\partial \underset{\_}{\Psi }}{\partial s}}+\sum _{a=1}^N{\displaystyle \frac{{\epsilon }_a{\epsilon }^{\prime }}{2}}\left[{\epsilon }^{\prime }{\displaystyle \frac{{\partial }^2\underset{\_}{\Psi }}{\partial y_a^{\mu }\partial y_{a\mu }}}\right.\left.+i{\epsilon }^{″}\left(A_a^{\mu }{\displaystyle \frac{\partial \underset{\_}{\Psi }}{\partial y_a^{\mu }}}+{\displaystyle \frac{\partial A_a^{\mu }\underset{\_}{\Psi }}{\partial y_a^{\mu }}}\right)\right] \\ +\sum _{a=1}^N{\displaystyle \frac{{\epsilon }_a{\epsilon }^{\prime }}{2}}{\mathsf{\Gamma }}_{\nu \mu }^{\mu }\left[\left({\epsilon }^{\prime }{\displaystyle \frac{\partial \underset{\_}{\Psi }}{\partial y_{a\nu }}}+i{\epsilon }^{″}{A}_a^{\nu }\underset{\_}{\Psi }\right)\right]-\underset{\_}{\underset{\_}{V^{\prime }}}\hspace{0.33em}\underset{\_}{\Psi }=0. \end{gathered}$$

(34)

The term with ${\mathsf{\Gamma }}_{\nu \mu }^{\mu }$ was omitted in the version of Ref. [1] published 18 May 2025. Replace Equation (36) with

$$i{\epsilon }^{\prime }{\displaystyle \frac{\partial \underset{\_}{\Psi }}{\partial s}}=\sum _{a=1}^N\hspace{0.33em}{\displaystyle \frac{{\epsilon }_a}{2}}\left\{{\pi }_a^{\mu }{\pi }_{a\mu }\underset{\_}{\Psi }-{i\epsilon }^{\prime }{\mathsf{\Gamma }}_{\nu \mu }^{\mu }\left({\displaystyle \frac{{\epsilon }^{\prime }}{i}}{\displaystyle \frac{\partial }{\partial y_{a\nu }}}+\epsilon ”A_a^{\nu }\right)\underset{\_}{\Psi }\right\}+\underset{\_}{\underset{\_}{V}}\hspace{0.33em}\underset{\_}{\Psi }$$

(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.