Quantum Mechanics on a Curved Snyder Space by Salvatore Mignemi, Rina Štrajn

“…This algebra generates the symmetries of a model admitting two fundamental scales (Planck mass and cosmological constant) and is invariant under the Born reciprocity for exchange of positions and momenta. …”
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Axions in the dark dimension by Naomi Gendler, Cumrun Vafa

“…We find that in the scenario in which the axion is localized on the standard model brane (which we will argue is natural), a combination of theoretical (being bounded by the 5D Planck mass) and observational constraints forces it to have decay constant in a narrow range f ~ 109 – 1010 GeV. …”
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Fermion's Tunnelling with Effects of Quantum Gravity by Deyou Chen, Houwen Wu, Haitang Yang

“…Our calculation shows that the residue mass is ≳Mp/β0, where Mp is the Planck mass and β0 is a dimensionless parameter accounting for quantum gravity effects. …”
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Massive spectrum in F-theory and the distance conjecture by Keren Chen, Qinjian Lou, Yi-Nan Wang

“…To exactly match with the results in the distance conjecture, we propose that the definition of 8D Planck mass should receive a large correction. We have also computed parts of KK modes in 8D F-theory in a simplified setup, as well as the BPS string junction spectrum in specific setups of 6D and 4D F-theory.…”
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Quantum-Ordering Ambiguities in Weak Chern—Simons 4D Gravity and Metastability of the Condensate-Induced Inflation by Panagiotis Dorlis, Nick E. Mavromatos, Sotirios-Neilos Vlachos

“…On matching our results with the inflationary phenomenology, we fix the quantum-ordering ambiguities, and obtain an order-of-magnitude constraint on the String-Mass-Scale-to-Planck-Mass ratio, consistent with previous estimates by the authors in the framework of a dynamical-system approach to linear-axion RVM inflation. …”
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