The discussion centers on the impossibility of covariant deterministic nonlocal hidden-variable theories in relativistic quantum mechanics, as established by Gisin (2011). It critiques the assumptions made by Gisin through Laudisa (2014) and rebuts these criticisms with Oldofredi (2018). The conversation also explores the implications of relativistic Bohmian mechanics, particularly concerning causality and the definition of proper time, as discussed in Nikolic (2013). The participants emphasize the need for a more symmetrical treatment of spacetime dimensions to reconcile quantum non-locality with relativity.
PREREQUISITESResearchers in quantum mechanics, theoretical physicists, and anyone interested in the foundations of quantum theory and the implications of relativistic frameworks on hidden variable theories.
One way to fix this factor is indeed to fix the parametrization. But the point is that it is not the only way.A. Neumaier said:But (for a curve) this tangent vector is unique only up to a (positive or negative) factor.
So how do you fix it without getting a spurious sign in your ds?Demystifier said:One way to fix this factor is indeed to fix the parametrization. But the point is that it is not the only way.
If the curve is oriented (which is a much weaker requirement than that it is parameterized), then the sign is chosen such that ##s## increases in the direction of orientation. In my case, the orientation at each point is defined by the direction of the vector ##V^{\mu}##, to which the curve is tangent. Note also that in my paper ##\Omega## in Eq. (111) is positive.A. Neumaier said:So how do you fix it without getting a spurious sign in your ds?