▁of ▁Quant um ▁Gra vity . ▁ ▁Sm olin ▁and ▁others ▁independently ▁discovered ▁that ▁there ▁exists ▁in ▁fact ▁a ▁L agr ang ian ▁form ulation ▁of ▁the ▁theory ▁by ▁considering ▁the ▁self - du al ▁form ulation ▁of ▁the ▁t et rad ic ▁Pal at ini ▁action ▁principle ▁of ▁general ▁relativ ity . ▁These ▁proofs ▁were ▁given ▁in ▁terms ▁of ▁spin ors . ▁A ▁purely ▁tensor ial ▁proof ▁of ▁the ▁new ▁variables ▁in ▁terms ▁of ▁tri ads ▁was ▁given ▁by ▁Gold berg ▁and ▁in ▁terms ▁of ▁t et rad s ▁by ▁Hen ne aux ▁et ▁al . ▁ ▁References ▁ ▁Further ▁reading ▁ ▁Category : Loop ▁quantum ▁gravity <0x0A> </s> ▁The ▁She ph erd ess ▁( ), ▁also ▁known ▁as ▁The ▁Little ▁She ph erd ess , ▁is ▁a ▁painting ▁by ▁William - Ad ol phe ▁B oug u ere au ▁completed ▁in ▁ 1 8 8 9 . ▁The ▁title ▁is ▁taken ▁from ▁the ▁Southern ▁French ▁dialect . ▁The ▁painting ▁dep ict s ▁an ▁id yl lic , ▁past oral ▁scene ▁of ▁a ▁l one ▁young ▁woman ▁in ▁pe asant ▁att ire ▁pos ed ▁for ▁the ▁artist , ▁bal ancing ▁a ▁stick ▁( likely ▁her ▁cro ok ) ▁across ▁her ▁shoulders , ▁standing ▁bare fo oted ▁in ▁the ▁for eground . ▁In ▁the ▁background ▁are ▁ox en ▁gra zing ▁in ▁a ▁field . ▁It ▁is ▁one ▁of ▁many ▁paint ings ▁by ▁B oug u ere au ▁dep ict ing ▁she ph erd esses , ▁including ▁one ▁of ▁the ▁same ▁name ▁created ▁in