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quantum type processing take place in them. The living organism, it appears, is in some
respects a macroscopic quantum system.
If the brain is functioned by the superluminal particles called a tachyon, this puzzle can
be clarified as follows:
From the Klein-Fock-Gordon equation for a scalar field with an imaginary mass
m
=
i
μ
given by
2
⎛
∂
⎞
(26)
⎜
⎝
2
2
⎟
⎠
−
∇
−
μ
ψ
=
0
t
2
∂
we can obtain an elementary solution shown as
1
(27)
ψ =
(
x
)
exp(
ikx
)
3
/
2
(
2
π
)
where
2
2
1
/
2
=
k
.
From which, it is seen that tachyons cannot be localized in space from the superposition
of solutions given by Feinberg [1967] shown as
ω
(
−
μ
)
(28)
=
∫
3
3
ψ
(
x
)
φ
(
x
)
f
(
k
)
d
k
≠
δ
(
x
)
k
where
(
f
is an arbitrary function,
φ
is a set of elementary solutions of the Klein-Fock-
Gordon equation with an imaginary mass and
)
(δ
is the Dirac's delta function.
)
Figure 10. Silicon processor vs. Human brain.