Uncertainty principle

Heisenberg'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

The fundamental laws of the universe, as commonly stated in the

Equivalence principle,

Pauli Exclusion Principle, and the

Uncertainty principle, all suggest that if something cannot be distinguished, the universe treats it as identical.

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.