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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.