Planck Length


Another fundamental physical constant named after Max Planck, it is thought to be the smallest possible length, at an incredibly small 1.616 x 10-35 meters. In the section on spacetime, the Planck units are described as the components of spacetime itself, referred to as granules, which can be modeled classically as a spring-mass system to derive fundamental physical constants where only five fundamental constants are required.  The following figure describes the relationship of four of these Planck constants.  

Planck constants describe the structure of spacetime

Unit Cell of Spacetime Lattice


The Planck length is the radius of a single granule.  It is a fundamental classical constant setting the baseline for the unit of length.  

Planck length as radius of a granule

Planck Length – Radius of a Granule


See also: Planck time, Planck mass, Planck charge



Derivation – Planck Length

In classical constant format, the Planck length is one of the five fundamental physical constants that most other constants can be derived. It is set here to the speed of light (c), which is not one of the five fundamental constants, to establish its value. It is the length that is traveled for a wave traveling at the speed of light in Planck time.

In wave constant format, it is a complex ratio of the square of wavelength divided by amplitude and a property of the electron.


Classical Constant Form

Planck length derived from Planck time and speed of light

Wave Constant FormPlanck length wave constant form

Using classical constants Using energy wave constants


Calculated Value: 1.6162E-35
Difference from CODATA: 0.000%
Calculated Units: m
G-Factor: gλ2


Its value was calculated and shown to match the known value in the Summary of Calculations table. The derivation of this constant is available in the Fundamental Physical Constants paper.