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

Source: Duodimensional LUFE Matrix