AAWSAP DIRD, Negative Mass Propulsion, January 2011
DOW-UAP-D152 · page 20 of 43
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UNCLASSIFIED/ /P'OR. 8FFIEil1'1.k lellii Ql'II.¥ According to Newtonian mechanics and Planck's conjecture, the interaction of a positive with a negative Planck-mass particle leads to a velocity fluctuation ~ a/JJ =c with a displacement of the particle equal to 8=(1/2)a/!=rP/2, where aP=FP/mP. Therefore, a Planck-mass particle immersed in the Planck aether makes a stochastic quivering motion (Zitterbewegung) with the velocity (46) where n =I/r; is the average number density of positive or negative Planck mass particles. The kinetic energy of this diffusion process is given by (47) Putting (48) where S is the Hamilton action function and v is the velocity of the Planck aether, the Lagrange density for the Planck aether is h2 h2 as , (vn)2] L=n[h-+-(vs-)+U+- - . (49) ot 2m" Sm/1 n Variation of (49) with regard to S according to I(~J+I(~J-o (50) ot EJS/ot ot EJS/or leads to on h -+- V(nVS)=O (51) ot mp UNCLASSIFIED//P'Olll OPPIEll<L tt!II!! or~LY 16