Seonglae ChoHeisenberg's uncertainty principle
The Planck length is different from pixel representation. Pixels are merely a means of expression, with separate information storage and display, making them closer to shadow projections that mimic human vision. The meaning of the Planck length as a unit, along with speed and uncertainty constraints, implies that it inherently contains information. Although this uncertainty principle is famous as a fundamental rule, it is not an axiom but rather a physical conclusion derived from the Canonical Commutation Relation
Complete set of commuting observables
In quantum mechanics, a complete set of commuting observables (CSCO) is a set of commuting operators whose common eigenvectors can be used as a basis to express any quantum state. In the case of operators with discrete spectra, a CSCO is a set of commuting observables whose simultaneous eigenspaces span the Hilbert space, so that the eigenvectors are uniquely specified by the corresponding sets of eigenvalues.
https://en.wikipedia.org/wiki/Complete_set_of_commuting_observables
Uncertainty principle
In quantum mechanics, the uncertainty principle is any of a variety of mathematical inequalities asserting a fundamental limit to the product of the accuracy of certain related pairs of measurements on a quantum system, such as position, x, and momentum, p. Such paired-variables are known as complementary variables or canonically conjugate variables.
https://en.wikipedia.org/wiki/Uncertainty_principle
