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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[edit]
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[edit]
| 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 |
