SI base to geometrized units - complete list of factors

[TurricaN]

I describe below SI units from geometrized point of view:

 

Below are all needed conversion factors that covers all SI base units, and if not possible, their unique elements, because ampere is a dimensionless ratio of two distances such as [C/s], and candela (1/683 [W/sr]) is a dimensionless ratio of two dimensionless ratios such as ratio of two volumes [kg*m^2/s^3]=[W] and ratio of two areas [m^2/m^2]=[sr]:

 

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. I hope that this info will be useful for anyone who wants to make custom geometrized systems of units of various numerical bases and of various quantitial single-unit bases.