Calculations – Fundamental Physical Constants

Summary of Calculations

The fundamental physical constants are shown in the table below with their current values (CODATA 2014), calculated using energy wave constants. This section details the calculations and provides an explanation for most of the physical constants and why they appear in equations. Of these constants calculated, only the proton radius has a value that differs by greater than 0.000%.

 

Physical Constant CODATA Value Calculated % Diff Modifier* Units
Fine Structure Constant 7.2974E-03 7.2974E-03 0.000% N/A
Electron Energy 8.1871E-14 8.1871E-14 0.000% J
Electron Mass 9.1094E-31 9.1094E-31 0.000% kg
Electron Classical Radius 2.8179E-15 2.8179E-15 0.000% m
Proton Radius 8.7516E-16 8.6281E-16 1.411% m
Bohr Radius 5.2918E-11 5.2918E-11 0.000% m
Electron Compton Wavelength 2.4263E-12 2.4263E-12 0.000% Δe m
Rydberg Unit of Energy 2.1799E-18 2.1799E-18 0.000% Δe-1 J
Rydberg Constant 1.0974E+07 1.0974E+07 0.000% Δe-1 m-1
Planck Constant 6.6261E-34 6.6261E-34 0.000% kg m2/s
Planck Time 5.3912E-44 5.3912E-44 0.000% s
Planck Length 1.6162E-35 1.6162E-35 0.000% m
Planck Mass 2.1765E-08 2.1765E-08 0.000% kg
Planck Charge 1.8755E-18 1.8755E-18 0.000% ΔT-1 m **
Elementary Charge 1.6022E-19 1.6022E-19 0.000% ΔT-1 m **
Coulomb’s Constant 8.9876E+09 8.9878E+09 0.000% ΔT2 kg m/s2 **
Electric Constant  8.8542E-12 8.8540E-12 0.000% ΔT-2 s2/kg m **
Magnetic Constant 1.2566E-06 1.2567E-06 0.000% ΔT2 kg/m **
Bohr Magneton 9.2740E-24 9.2739E-24 0.000% ΔT1 m3 / s **
Gravitational Constant 6.6741E-11 6.6741E-11 0.000% m3/s2 kg

 

* The table includes a column for the modifier that was used, if needed, for physical constants to offset the calculations using the energy wave equations. In physics, there are three correction factors for particle spin, orbital and total angular momentum known as the g-factors.  The modifiers in this paper are very similar to the g-factors because they also appear in these energy wave equations related to orbitals, spin and total angular momentum (the product of orbital and spin momentum). This is explained in the Fundamental Physical Constants paper.

** Some of the units require derivation to match the known SI units for the fundamental physical constants. Specifically, charge is measured as amplitude in wave theory, measured in meters, not Coulombs. And the unit for Henry for the Magnetic Constant is replaced with mass (kg).  When substituted, all units resolve correctly. Details for each unit derivation and mapping is provided in the Fundamental Physical Constants paper.

 

Source Data: All tables shown here for fundamental physical constants calculations can be found in the downloadable spreadsheet. Further information on the derivation of the equations and how to replicate them is in the Fundamental Physical Constants paper.