**
PSICONS, IMAGINARY
TACHYONS: AN INTRODUCTION – 1988**

**
G .S. Sarti**

Two basic types of three space dimensions tachyons may
be distinguished: Feinberg (1967) and Goldoni (1972).

Both os them have real mass when in movement. In the
case of tachyon-psi or psicons, here described by Sarti
– 1988, proposed, the situation is the opposite: the
protomass is real and bradyonic, and the mass in
superluminal movement is imaginary:

m
= im_{o }/ (v^{2} – 1)^{1/2}

The
total energy of the psicons is also imaginary:

E^{2} = P^{2 }+ m^{2 }< 0 :
(v^{2 }/ v^{2} – 1 > 1)

** ** ^{
0}

For that reason the psicon is connected to other no real
forms of mind energy well related to semantic
informacional and neguentropic processes.

WAVE
FUNCIONS TACHYONS – PSI OR PSICONS

The
wave functions associated with psicons shall not form a
packet because its group velocity would be subluminal.
The function
τΨ,
a plane wave obtained as a solution of the
Schroedinger’s equations without interaction potentials,
is associated with the psicons:

τψ
= exp i(κx - ωt)

Since
the τψ
functions d’ont form packets, by manipulating the de
Broglie expressions we obtain:

v_{phase} = λμ = E/P = (1 + m^{2
}/p^{2})^{1/2 }> 1

^{
0
}

Moreover, taking into account that the wave number k and
the angular frequency w are constants, we conclude that
the linear momentum p and the to tal energy E of the
particle are determinated.

Considering the uncertainty principle and the Born’s
postulate, the spacial and temporal indeteminations of
the psicons are infinite:

#
Δx = ∞

Δt = ∞

∫ (τψ)^{*}(τψ)dV
= ∞

space-time** **

As a result, the psiconic
particles have maximum probability, 1, throughout every
point of space and time. We have an ocean of psicons
which covers all space-time.

**APPLICATION TO
COSMOGENESIS OF BRADIONS**

Bearing in mind that different
functions τψ
do not maintain linear relation
λμ = c and that phase
constants (κx
- ωt)_{n}
are differents then the wave functions
τψ are
dispersively propagated and their superposition must
form a subluminal packet more or less localized.

The packet frmed in that manner
represents a real particle. If the wave number
κ lies in a
narrow interval Δκ
, the superpositins of Fourier plane waves will be:

ψ = ∫_{
}_{Δκ }
a (κ) (τψ)
d κ

By using Taylor expansion with a
fixed value κ_{0}
and not considering terms greater then one degree, we
obtain:

ω( κ ) = ω_{0} + (dω/dκ)κ_{0}
(κ - κ_{0)}

The result is a real group – particle with definite
probabilities of space-time occupation in the interval
(0,1):

ψ = (τψ)_{0
●} integral modulation
with group velocity

This demonstration represents a
first try on the use of the psicons. Such proceeding may
be of help to understand parapsycological and other
PSI-phenomena related to the origin of matter.