  Utilizing the recently established connection between Palatini-like gravity
and linear Generalized Uncertainty Principle (GUP) models, we have formulated
an approach that facilitates the examination of Bose gases. Our primary focus
is on the ideal Bose-Einstein condensate and liquid helium, chosen as
illustrative examples to underscore the feasibility of tabletop experiments in
assessing gravity models. The non-interacting Bose-Einstein condensate imposes
constraints on linear GUP and Palatini $f(R)$ gravity (Eddington-inspired
Born-Infeld gravity) within the ranges of $-10^{12}\lesssim\sigma\lesssim
3\times 10^{24}{\text{ s}}/{\text{kg m}}$ and
$-10^{-1}\lesssim\bar\beta\lesssim 10^{11} \text{ m}^2$
($-4\times10^{-1}\lesssim\epsilon\lesssim 4\times 10^{11} \text{ m}^2$),
respectively. In contrast, the properties of liquid helium suggest more
realistic bounds, specifically $-10^{23}\lesssim\sigma\lesssim 10^{23}{\text{
s}}/{\text{kg m}}$ and $-10^{9}\lesssim\bar\beta\lesssim 10^{9} \text{ m}^2$.
Additionally, we argue that the newly developed method employing Earth seismic
waves provides improved constraints for quantum and modified gravity by
approximately one order of magnitude.
