Mastodon Politics, Power, and Science: Units for s_length and s_mass

Saturday, December 7, 2024

Units for s_length and s_mass

Checking the unit definitions for these formulas, and they are correct.  


s_length = sqrt(hcG) 

= sqrt((m^3kg/s^2 ) * m^3/ (kg s^2))

= sqrt((m^3/s^2 ) *m^3/ (s^2))

= sqrt((m^3/s^2 ) *m^3/ (s^2))

= sqrt((m^6/s^4 ))

= m^3/s^2 


s_mass = 

= sqrt(hc/G)

= sqrt((m^3kg/s^2 ) / (m^3/ (kg s^2)))

= sqrt((kg ) / (1/ (kg)))

= sqrt(kg^2 )

= kg


hc = s_length * s_mass

= (m^3/s^2) * kg

= m^3 kg / s^2  =  J m 


h = (s_length * s_mass)/c

= (m^3 kg / s^2) / (m/s)

= m^2 kg / s  =  J s 


G = s_length / s_mass

= m^3 / (kg s^2)  = (N m^2) / kg^2

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