Massive, spinless bosons have vanishing probability of reaching the sphere r=2M from the region r>2M when the original Schwarzschild metric is modified by maximal acceleration corrections.
Cite
@article{arxiv.gr-qc/0003087,
title = {Massive Scalar Particles in a Modified Schwarzschild Geometry},
author = {S. Capozziello and A. Feoli and G. Lambiase and G. Papini and G. Scarpetta},
journal= {arXiv preprint arXiv:gr-qc/0003087},
year = {2016}
}