Tsallis uncertainty

It has been recently shown that the Bekenstein entropy bound is not respected by systems satisfying modified forms of Heisenberg uncertainty principle (HUP) including generalized and extended principles, or even their combinations. On other, use entropies, which differ from entropy, in describing gravity related topics signals us to different equipartition expressions compared usual one. In way, The mathematical form an theorem can be algebraic expression a particular standard initially chosen describe black hole event horizon, see E. M. C. Abreu et al., MPLA 32, 2050266 (2020). Motivated these works, we address three new principles leading introduced entropies. addition, corresponding energy-time relations Unruh temperatures are also calculated. As result, it seems described such as those Tsallis, do necessarily meet HUP may satisfy HUP.