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Quantum Entanglement between the two neutral mesons produced in mesonfactories has allowed the first indisputable direct observation of TimeReversal Violation in the time evolution of the neutral meson between the twodecays. The exceptional meson transitions are directly connected tosemileptonic and CP-eigenstate decay channels. The possibility of extending theobservable asymmetries to more decay channels confronts the problem of the"orthogonality condition", which can be stated with this tongue-twister: Givena decay channel $f$, Which is the decay channel $f'$ such that the meson statenot decaying to $f'$ is orthogonal to the meson state not decaying to $f$? Inthis paper we propose an alternative $T$-Violation Asymmetry at meson factorieswhich allows its opening to any pair of decay channels. Instead of searchingwhich is the pair of decay channels associated to the $T$-reverse mesontransition, we build an asymmetry which tags the initial states of both theReference and the $T$-reverse meson transitions. This observable filters theappropriate final states by means of two measurable survival probabilities. Wediscuss the methodology to be followed in the analysis of the new observableand the results expected in specific examples.

Novel T-Violation observable open to any pair of decay channels at meson factories