Explanation
The Planck mass is a fundamental classical constant, setting the baseline for the unit of mass. 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.
Unit Cell of Spacetime Lattice
Planck mass is the representative mass of a center granule (wave center) in a spring-mass system that represents the collective mass of granules in motion, collectively the mass in a spring-mass system.
Planck Mass
See also: Planck time, Planck length, Planck charge
Derivation – Planck Mass
In classical constant format, the Planck time is one of the five fundamental physical constants that most other constants can be derived. It is set here to the magnetic constant (μ0), which is not one of the five fundamental constants, to establish its value. When expressed with this term, it is the one-dimensional displacement from equilibrium (Planck charge) squared over the radius of a granule (Planck length). The Coulomb constant page describes similarities of this mass to other energy/mass equations.
The wave constant form is derived directly from the classical form.
Classical Constant Form
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Wave Constant Form
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| Using classical constants | Using energy wave constants |
Calculated Value: 2.1765E-08
Difference from CODATA: 0.000%
Calculated Units: kg
G-Factor: gλ-1
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.