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...Annales de la fondation louis broglie volume no the dirac equation an approach through geometric algebra s k pandey and r chakravarti department of mathematics cochin university science technology india email rsc cusat ac in abstract wesolvethediracequationforafreeelectron a man ner similar to toyoki koga but using theory cliord algebras which was initiated by david hestenes our solution exhibits spinning eld among other things key words multivector spinor spacetime klein gordon zitterbewegung introduction as given see is for free electron i m here isanevenmultivectoreld denedbelow inthecliordalgebra dimensional real minkowski spanned orthogonal unit vectors parallel coordinate axes we take be timelike with spacelike square sta generated where lorentz metric gradient dened x einstein summation convention applies vector space basis...