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geometrized unit system

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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

External links[edit]