Abstract
Both Albert Einstein and Louis de Broglie were dissatisfied with the type of quantum probabilities found in standard quantum mechanics. We have recently introduced a new formulation of quantum mechanics in which the quantum gravity probabilities are much more closely aligned with what de Broglie was seeking and hoping for. We show that if energy is conserved, then these new types of quantum gravity probabilities must also be conserved. Furthermore, we suggest that there must exist a probability gap above zero—that is, a lowest non-zero probability. In other words, quantum gravity probabilities are not continuous from zero to one, but instead exhibit a finite probability gap.



![Author ORCID: We display the ORCID iD icon alongside authors names on our website to acknowledge that the ORCiD has been authenticated when entered by the user. To view the users ORCiD record click the icon. [opens in a new tab]](https://www.cambridge.org/engage/assets/public/coe/logo/orcid.png)