The Information Paradox should definitively be solved if the equivalence between mass, energy and information were proven through the experimentation proposed by M. Vopson at the IPI. However, the concrete ways in which this information is preserved are not yet exactly known, especially in case of a universe that may theoretically end its existence with heat death and the evaporation of black holes through Hawking radiation; which now seems to have been experimentally proven. Assuming by hypothesis that such a scenario may really occur, this article aims to suggest a possible speculative conjecture to deepen and develop this topic of interest also to the Science, Theology and the Ontological Quest (STOQ) disciplines. But the final word is left to an electron-positron annihilation experiment already designed and proposed by M.Vopson at the IPI and not yet carried out. Such an experiment aims to test whether with the annihilation of matter the information that could be encoded in photons of a specific expected frequency also disappears.