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geometrized unit system
Geometrized unit system is a system of only one arbitrarily chosen unit that is universally used to measure all things.
Conversion factors between meter, kilogram, second, coulomb and kelvin
Here are all needed conversion factors that covers all SI base units, and if not possible, their unique elements:
into m
- G/c^2 [m/kg]
- c [m/s]
- ((G/(4*pi*(electric constant)))^0.5)/c^2 [m/C]
- (G*k)/c^4 [m/K]
into kg
- c^2/G [kg/m]
- c^3/G [kg/s]
- 1/(G*4*pi*(electric constant))^0.5 [kg/C]
- k/c^2 [kg/K]
into s
- 1/c [s/m]
- G/c^3 [s/kg]
- ((G/(4*pi*(electric constant)))^0.5)/c^3 [s/C]
- (G*k)/c^5 [s/K]
into C
- c^2/((G/(4*pi*(electric constant)))^0.5) [C/m]
- (G*4*pi*(electric constant))^0.5 [C/kg]
- c^3/((G/(4*pi*(electric constant)))^0.5) [C/s]
- (k*(G*4*pi*(electric constant))^0.5)/c^2 [C/K]
into K
- c^4/(G*k) [K/m]
- c^2/k [K/kg]
- c^5/(G*k) [K/s]
- c^2/(k*(G*4*pi*(electric constant))^0.5) [K/C]
All these units represents nothing else than distance along dimension, that makes SI redundant in comparison to geometrized units.
Source: Wald, Robert M. (1984). General Relativity (book). Chicago: University of Chicago Press. ISBN 0-226-87033-2. See Appendix F
Unidimensional LUFE Matrix
| D-3 | D-2 | D-1 | D0 | D+1 | D+2 | D+3 |
| amount of substance concentration | angular acceleration,
electric charge density, mass density |
acceleration, electric field,
electric field reluctance, electric field strength, electric flux density |
conductance, velocity of
light |
capacitance, length,
wavelength |
angular momentum, Boltzmann
constant, entropy, heat capacity, magnetic moment, Planck constant, universal gas constant |
moment of inertia,
quadropole moment |
| electric current density | activity, angular frequency,
angular velocity, frequency, magnetic flux density, temperature |
current, magnetomotive force | charge, electric flux, mass | area | volume | |
| energy density, modulus of
elasticity, pressure, stress |
heat flux, spring constant,
surface tension, thermal conductance |
dose, potential difference,
specific energy |
energy, heat, internal
energy, moment of force, torque, work |
center of mass, electric
moment |
||
| heat flux density,
irradiance, radiance, radiant flux density, sound intensity |
Josephson frequency volt
quotient |
energy, power, radiant flux
conduction |
impulse, momentum | specific volume | ||
| luminance | magnetic field intensity,
magnetic field strength, magnetization, viscosity |
force, tension, thermal
conductivity |
inductance, permeance | Stefan Boltzmann constant | ||
| Rydberg constant | impedance, reactance,
resistance |
magnetic flux, specific heat,
thermal diffusivity |
||||
| permeability of the vacuum | resistivity, temperature
coefficient resistance, thermal expansion coefficiency, time |
