Uncertainty Principle

The uncertainty principle, formulated by Werner Heisenberg in 1927 as part of quantum mechanics, is a fundamental concept in physics.

Certain pairs of physical properties, such as position and momentum, cannot be simultaneously precisely determined. The more accurately one property is measured, the less accurately the other can be known, and vice versa.

Mathematically, the uncertainty principle is expressed as:

Δx * Δp ≥ ħ/2

where:

• Δx is the uncertainty in position,
• Δp is the uncertainty in momentum,
• ħ (h-bar) is the reduced Planck constant, approximately equal to 1.054 × 10^(-34) J·s.

This principle introduces fundamental limits to the precision with which certain pairs of complementary properties of a particle can be known simultaneously.