  In spite of enormous theoretical and experimental progresses in quantum
uncertainty relations, the experimental investigation of most current, and
universal formalism of uncertainty relations, namely majorization uncertainty
relations (MURs), has not been implemented yet. A significant problem is that
previous studies on the classification of MURs only focus on their mathematical
expressions, while the physical difference between various forms remains
unknown. First, we use a guessing game formalism to study the MURs, which helps
us disclosing their physical nature, and distinguishing the essential
differences of physical features between diverse forms of MURs. Second, we
tighter the bounds of MURs in terms of flatness processes, or equivalently, in
terms of majorization lattice. Third, to benchmark our theoretical results, we
experimentally verify MURs in the photonic systems.
