A "span" is a traditional unit of length used for measuring cloth or fabric. It was historically used in various countries, including England, and is based on the width of the human hand or the spread of the fingers. The actual length of a span could vary depending on the region and historical context.
In England, a span was typically equal to 9 inches or approximately 22.86 centimeters. However, it's important to note that the definition of a span could vary from place to place and over time.
The Planck length, denoted as "ℓ," is a fundamental unit of length in the realm of quantum mechanics and theoretical physics. It is named after the physicist Max Planck, who made significant contributions to the field of quantum theory.
The Planck length is defined as:
ℓ = √(ħG / c³),
where:
When you calculate the Planck length using these constants, you get a value of approximately 1.616255 x 10⁻35 meters. This extremely tiny length scale is believed to be the smallest meaningful length that can exist in the universe, according to current physical theories.
The Planck length plays a crucial role in theories of quantum gravity, including string theory and loop quantum gravity, where it is considered a fundamental limit for the precision of measurements and the size of structures in the fabric of spacetime. At scales smaller than the Planck length, the classical notions of space and time break down, and a more complete theory of quantum gravity is expected to be necessary to describe the physics of such extreme conditions.