Reply to Comment on "Neutrino oscillations originate from virtual excitation of Z bosons" and "Neutrinos produced from $\beta$ decays of neutrons cannot be in coherent superpositions of different mass eigenstates"

TL;DR

This paper clarifies that quantum entanglement between neutrino mass states and other degrees of freedom prevents the coherence necessary for neutrino oscillations, addressing a comment on previous work.

Contribution

It emphasizes the importance of quantum entanglement in neutrino oscillation phenomena, countering claims that neutrinos from beta decay can be in coherent superpositions.

Findings

Quantum entanglement destroys neutrino coherence.

Neutrinos from beta decay cannot be in superpositions of different masses.

Addressed and refuted a specific comment on prior manuscripts.

Abstract

In this reply, I point out that the comment by Cline (arXiv:2410.05826) on my manuscripts (arXiv:2407.00954 and arXiv:2410.03133) has overlooked the critical fact that the quantum entanglement between the neutrino's mass and other degrees of freedom would destroy the quantum coherence between the mass eigenstates.