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Geometrized unit system
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==Conversions== Listed below are all conversion factors that are useful to convert between all combinations of the SI base units, and if not possible, between them and their unique elements, because ampere is a dimensionless ratio of two lengths 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<sup>2</sup>/s<sup>3</sup>] = [W] and ratio of two areas [m<sup>2</sup>/m<sup>2</sup>] = [sr], while mole is only a dimensionless [[Avogadro number]] of entities such as atoms or particles. The [[vacuum permittivity]] and [[Boltzmann constant]] are ''ε''<sub>0</sub> and ''k''<sub>B</sub>. {| class="wikitable center" |- ! ! m ! kg ! s ! C ! K |- ! scope="col" | '''m''' | 1 |''c''<sup>2</sup>/''G'' [kg/m] |1/''c'' [s/m] |''c''<sup>2</sup>/(''G''/''ε''<sub>0</sub>)<sup>1/2</sup> [C/m] |''c''<sup>4</sup>/(''Gk''<sub>B</sub>) [K/m] |- ! scope="col" | '''kg''' |''G''/''c''<sup>2</sup> [m/kg] | 1 |''G''/''c''<sup>3</sup> [s/kg] |(''Gε''<sub>0</sub>)<sup>1/2</sup> [C/kg] |''c''<sup>2</sup>/''k''<sub>B</sub> [K/kg] |- ! scope="col" | '''s''' |''c'' [m/s] |''c''<sup>3</sup>/''G'' [kg/s] | 1 |c<sup>3</sup>/(''G''/''ε''<sub>0</sub>)<sup>1/2</sup> [C/s] |''c''<sup>5</sup>/(''Gk''<sub>B</sub>) [K/s] |- ! scope="col" | '''C''' |(''G''/''ε''<sub>0</sub>)<sup>1/2</sup>/''c''<sup>2</sup> [m/C] |1/(''Gε''<sub>0</sub>)<sup>1/2</sup> [kg/C] |(''G''/''ε''<sub>0</sub>)<sup>1/2</sup>/''c''<sup>3</sup> [s/C] | 1 |''c''<sup>2</sup>/(''k''<sub>B</sub>(''Gε''<sub>0</sub>)<sup>1/2</sup>) [K/C] |- ! scope="col" | '''K''' |''Gk''<sub>B</sub>/''c''<sup>4</sup> [m/K] |''k''<sub>B</sub>/''c''<sup>2</sup> [kg/K] |''Gk''<sub>B</sub>/''c''<sup>5</sup> [s/K] |''k''<sub>B</sub>(''Gε''<sub>0</sub>)<sup>1/2</sup>/''c''<sup>2</sup> [C/K] | 1 |}
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