We review inadequacy of existing nematodynamic theories and suggest a novel way of establishing relations between nematic orientation and flow based on the \emph{local} symmetry between simultaneous rotation of nematic alignment and flow, which establishes energy exchange between the the two without reducing the problem to near-equilibrium conditions and invoking Onsager's relations. This approach, applied in the framework of the vector-based theory with a variable modulus, involves antisymmetric interactions between nematic alignment and flow and avoids spurious instabilities in the absence of an active inputs.
@article{arxiv.2510.24177,
title = {Vector Nematodynamics with Symmetry-driven Energy Exchange},
author = {L. M. Pismen},
journal= {arXiv preprint arXiv:2510.24177},
year = {2026}
}