John Company

AAWSAP DIRD, Negative Mass Propulsion, January 2011

DOW-UAP-D152 · page 20 of 43

Page 20 of 43 of DOW-UAP-D152

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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
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