Earlier quoted context omitted.
This conjecture also assumes that our understanding of thermodynamics applies in any other hypothetical dimension. It's entirely possible that displacement in these dimensions corresponds to an increase in energy in the system that offsets the "lost" energy.
Anything is possible, but how would you falsify that hypothesis?
We can't say "we're definitely not experiencing displacement in X dimensions" if we don't definitively know the rules of displacement are homogeneous in every dimension. Since we don't definitively know the number of dimensions, we also can't exhaustively test these rules.