Journal of Modern Physics, 2013, 4, 923-929
http://dx.doi.org/10.4236/jmp.2013.47124 Published Online July 2013 (http://www.scirp.org/journal/jmp)
Information Soliton
Qiao Bi1, Kongzhi Song2
1Department of Physical Science and Technology, Science School,
Wuhan University of Technology, Wuhan, China
2Institute of Space Medico-Engineering, Beijing, China
Received April 24, 2013; revised May 26, 2013; accepted June 22, 2013
Copyright © 2013 Qiao Bi, Kongzhi Song. This is an open access article distributed under the Creative Commons Attribution Li-
cense, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
ABSTRACT
In this work, for u nderstanding bio-information transmission through long distance a type of nonlinear master equation
is studied. We found that the nonlinear power term can introduce a novel solution of the equation, in which a possible
invariant structure as an information so liton can exist when time elapses long enough. This provid es a sort of construc-
tive channel for bio-info rmation tr ansmission for long distance.
Keywords: Quantum Information; Coherent State; Nonlinear Kinetic Equation
1. Introduction
Quantum information theory in treating interact trans-
mission and processing of quantum states, entanglement
of states for quantum computation, quantum cypoto-
graphy or quantum teleportation has achieved great pro-
gresses nowadays [1-6]. However, until recently it is
clear what is fundamental dynamical equation directly re-
lated to quantum information density (QID). In previous
works [7,8] we have pr esented that the Liouville equation,
the Schwinger-Tomonaga equation and the Einstein equ-
ation still hold for quantum information density (QID):



HI,
I
i
t






. Here

I

corresponding to a
sort of general QID, especially,


lnI

 

is de-
fined as QID. In this way, the definition

I



can
be considered as a minimum unit of QID [9-15]. More-
over, in the classical system, the similar Liouville equ-
ation for the information density can also be established,
which means this information representation is universal
both for quantum and classical systems [7]. All of these
dynamic formulations reveal an essential information
character of universe. Then a question is raised: how a
subject builds an efficient information channel to com-
municate with any object or even universe by a long
distance against decoherence or energy decaying?
The background of this interesting question is that
quantum communication needs to develop more stable
and low dissipative channel to transmit or receive quan-
tum singles against decoherence. This is, of cause, an ob-
viously application for our model, however, in this work,
we stress a mechanism for understanding the transmis-
sion of bio-information through long distance in the So-
matic experiments. This problem is important because
started from 1987, the series of remote sensing thinking
transmissions have been done by Shao Laisheng, Yu
Huihua, Shen, J. Wang Boyang, Sheng Zujia, and Fang
Lin Hu in Fudan University, China [16]. They made
more than 3 years of experiments to find that the thinking
sensing distance can reach more than 1000 km, and the
sensing information can be numbers, text, graphics with
colors. During 1987 to 1988, they had accomplished 37
times thinking sensing experiments, complete success
was 14 times and partial success was 15 times, so the
successful results were accounting for 41%. The sending
information as random combination of 6 digital color pen
written can be marked by the receiver as the number and
color correctly. Close the time thinking, sensing in a few
seconds to a few minutes. In 1990 they made remote
sensing experiment of thinking between Beijing and
Shanghai, sensing content of numbers and words, time
difference from an hour to several hours or even more
than ten hours. For the 15 experiments of Shanghai to
Beijing in November 17-18, 1990, there existed succeed
8 times and 7 times of failures. In 1990 the experiments
from Beijing to Shanghai, there were 8 times thinking
sensing experiments, four of them were successful and
four times were fail. Sensing successful contents were
such as: Hua headmaster: Hello, spiced beans king,
98647, Spring in society. Time differences respectively
C
opyright © 2013 SciRes. JMP

Q. BI, K. Z. SONG 924
were: about 8 hours, about 8 hours, about 7 minutes,
about 18 minutes. The successful launching and received
successful physiological signs were that the functional
heads appeared “screen effect”, and the contents were
written to the test paper. They found that there were quite
a large amount of information, high resolution during the
transmission while the receiving selective, transmission
distance of the sensor had no significant effect on trans-
mission. Furthermore this sort of transmission was al-
most not affected by the general electromagnetic shield-
ing... Interference of telecommunications equipment co ul d
not influence the transmission. This seems to reveal that
the information signal is a kind of invariant information
solitons consisting of electromagnetic wave as we previ-
ously introduced [16]. However, since the experiments
could not provide what was exact meaning of carrier in
the transmission for long distance, therefore the experi-
ments were subjected to a lot of suspicions and critics
because the experiments discarded the classics and rebel
against orthodoxy of well known physics, such as trans-
mission of signal will decay in air [16].
So, along this clue, we firstly establish a sort of non-
linear master equation, then stud y the relevant solution to
reveal a solitonic structure of information when time
elapses long enough.
2. Nonlinear Kinetic Equation
Because QID is just the negative entropy density, the
physical meaning of Liouville equation for QID allows
us to consider logically introduce a micro-representation
of the second law of thermodynamics by


dln
d
ln ,ln
ln ,ln
0,for equilibrium process
0,fornon-equilibrium process, order
0,for non-equilibrium process, o
t
iH
t
iH
t
increase
rder decrease


 
 














(1)
which gives naturally a general Liouv ille equatio n for the
open syst em constructed by



ln
,lnln, for class
,lnln, for quant
it
HV
HV

 
 







ical system,
um system

lnV
(2)
where

 is assumed to be introduced by the
difference of QID between the system and environment.
More generally, this difference is supposed to be intro-
duced by a potential of information density, which drives
the system to evolve along the direction described by the
second law of thermodynamics.
In short, the above derived QID representation of
Liouville equation coincides with the traditional Liou-
ville equation, therefore it can not describe an irreversi-
ble process since its time evolution is symmetric by in-
heriting from the Liouville equation [17], however, from
the point of view of thermodynamical second law we can
introduce a difference (or gradient) of QID to allow


dlnln ,ln 0,
diHV tt
   


 (3)


V where

is assumed to be introduced by a diffe-
rence (or gradient) of QID.
Because QID is just the negative entropy density, the
above expression is like a microscopic representation of
thermodynamical second law: when the QID in the two
coupled systems are not equal to each other, then there
exists a difference (or gr adient) of QID, wh ich will spon-
taneously drive the higher QID to transmit to the lower
QID until the both arriving at equilibrium. Indeed for a
quantum system, if one poses a non-equilibrium Liou-
ville equation expressed as
 
d,,
diHR tt




 
 (4)
then using the Baker-Hausdorf formula and applying the
Magnus lemma [17] gives
 
dln
ln ln,,
d1
RR V
t

 


 





times
,,,,
n
n
(5)
where
x
yxyyy







 , so if


R

is
chosen as an analytic function of

, then a nonlinear
Liouville equation is achieved as
 
,,iHR
t




 (6)




lnVR
where
 . For example, if



ln
n
V

 , then

,,
n
iH
t



 (7)
which specifies a nonlinear term. More concretely, if a
system is open, then


,H

may transfer to type of
terms relate to a master equation, consequently Equation
(7) is changed to a type of nonlinear master equation
(NME). This is a novel equation worthy of further study.
3. Information Solitons
For instance, in a quantum open system, a master equ-
ation for the amplitude damping model, after considering
a nonlinear term 4

, can be established by

††††4
d,
daaaaa aaa t


 (8)

Q. BI, K. Z. SONG
JMP
925
where  is a dampiber, a, †a is an
lation or a creation oprespectively. The no
4
ng num
erator, annihi- nlinear

term

can be considered as origiing from non-
linear interaction between the system and environment as
the Keer effect in the medium.
Then using the coherent and entangled state as a basis
developed by Fan H ongyi [18 ], we can get
nat


†† †
††
† 4
4
,
aa aaa aaaII
a aaaII
  

 
  

(9)
e † a
 and a  are defined as the creation or the
lation operator acting to the thermostats such as
d
d
I
t

wher
annihi
0
 deoped by Takahashi and Umezawa [19,20], and
then vel
I
is given by
††
e00,
aa
I (10)
consequently there are transformations † aa,
††
aa aa r
†
aa, and unde state
I
, which
allows

to commute with right therm
the Equatio
For sing this nonlinear Equation (9), let
14
f 
ostats to arrive at
e abovn (9).
olv
,  (11)
then inserting

4
3


 into the left of
I
for the both
e equation, onesides of th gets

4
d3
dI
t





 
††4
3a aaaI 

 



44
3
I


 ()
This enables one to arrive
12
3††3
d33,
d
I
aaaaI I
t


 
 (13)
so that

††
d33.
d
fI aaaafII
t
  
 (14)
Thus the solution of this equation is considered as a
form




††††
33
0
e3ed1,
aaaat aaaat
ftf
  








 
f0t
(15)
where corresponds to time .
0
By left acting the coherent and entangled state

to
Equation (15) gives





22
††††
33
0
††††
33
0
33
0
e3ed1
3ed e
3ed e,
aaaat aaaa
aaaataaaat
tt
fI
f
I
f
I
fI


 




 
 
















 
 (16)
therefore one gets an integral form of the normal product
as



22
22
2
233
30
233
††††† †
0
d3ed e
d:3ed e
e:.
tt
tt
aaaaa aaaaaa
f
fI
fI
 
 
 







 

 












(17)
Hence one gains









2†
22 †††††
33 0
†† ††
†† † †
31 31 0
3
edee:
11
:edee:
31 31
1
:e
31
aaaaaaaaaaa
tt
aaa aaa
taa aaaaaa
t
t
fI
2
d:3f
f
I
tt
t
 


 



 

 



 

  











 
 
 




 




 
 







††† ††† ††
3
31 31 0
1
de :
31
aa aaaaaataaaaaa aa
tt
f
I
t

 

 

 





 





  
(18)


 

††††
3
1††††
1
13 31 0
†
0
1††††
1
13
†
1
13 1
:e e:
13
111
13
=: ee
13
t
taaaa aa aa
aa aaaaaa
tt
aa aaaaaa
t
t1
f
†††
†† †
I
t
aaaa aa aa
t
t
aaaa aa aa


 







  

 


 










 




 
 
 
 
 
 
 





††† †
3
31 0
:.
taaaa aa aa
tfI


 

 

Q. BI, K. Z. SONG 926
This allows one to arrive at

††
11
††
11
13 13
††††††††
††3
†13
11
11
13 13
ee
1
e
13 13
aa aa
aa aa
tt
aa aat
aa
t
tt
faaaa aaaaaaaa aaaa
tt





 

 

 



 

 


 

  






 









  
3
†
13
1
e
t
aa
t

 




 
†
†
†22 †2 2
0
2
11 2
33
11
1313 1313 0
22
††
11
11
11 13 13
eeee.
13 13
aa
aa
tt
aa
aa
tt
tt
fI
tt
f
I
tt
aa aa





 

 





 

 
 

  


 



 
  

 

 

 
(19)
Thus, one obtains

†
†
†22 †2
21
11
21
11
13 13 13
2
†
111
13
eee
13
aa
aa
aa
tt
t
t
aa





  

 

 





 




  



2
1
3
33
13
00
e.
tt
aa
tt












(20)
The appration oximof

when t is

 
†
†
†2 2
1
3 21
†
2
†
1
lim eee
aa
aaa
taa
aa
†
22
33
1 42
3 3
00
e ,
aa a




 (21)
whe suppose 0

















re if

is a pure state, such as a coherent
state or a soliton state, then one gets an invariant density
op


†,1.
faaf nf
t

 (25)
This allows one to obtain a formal solution as




erator as

†
22
33
42
30
e .
aa
aa
††
lim e
taa



 (22)
We can define this invariant structure as a sort of
information soliton in the sense it is a invariant structure
cally when time elapses long enough, and this structur e
tem
peaking, for any nonlinear master equation
(NME) expressed by
  
lo
exists in open sys which may be not in equilibrium
states.
Generally s

†,, n
aa
 d
dt

 (23)
where

†,aa is defined as certain functional of the
operator †,aa to act to

, if defining
1, n
f 

 (24)
one can get






 
††
††
††
,,
,,
0
†
,,
†
e1e
1ee
1e e
,
aat aa
t
Aa ata at
aat aat
0
d1
0
,
1
0.
f
nf
n
f
aa
n
f
aa





















 













(26)
evolutio

If then operator described by the master equ-
ation

†,aa

t

 is when 
declined t , i.e.


†,
lime 0,
aat
t 
 (27)
then an invariant state exists

Q. BI, K. Z. SONG 927


0
†
1,
,
n
lim
t
f
f
aa


w

  (28)
hich permits a solution of NME as
1
1
0
†,
,
n
n
aa






(29)
where it is the nonlinear power term that introdu
approximated solution, while the power n may introduce
the squeezing intensity change. This proves that the
existence of the information soliton for NME is generally
true.
da
1
lim
t


ces an
On this line, a master equation of the amplitude
mping model, after considering a nonlinear term 6

,
can be give n b y

†6
2,aa
††
d
daa aa t


 (30)
ber, a, †a is a creation
respectively. Then use the
same approach as the above and let
16
,f 

 (31)
where  is a damping num
or an annihilation operator,
we get

††
d52
d
fI aa aa aa
t
 
 5.
f II 
 (32)
Thus the solution of this equation is considered as a
form



††††
52 52
0
e5ed1,
aaaa aataaaa aat
f
tf
  





  (33)
where 0
f
correso time 0t. ponds t
By left acting a coherent and entangled state

to
Equation (15), it becomes
 
2
55
ee 25
e
5ed et
taa
aa
f

 




 






f the normal product
as
0,
fI  
(34)
therefore one gets an integral form o





2†
22
55 55
d:e
:10d2e e2e e
aa
tt t
ffI
t

 

55
ee
tt 
t









 


 


(35)
Then an invariant solution of Equation (30) can be
considered when time tends to long enough,


55 55
lim10d2 ee2 ee
0,
55
tt tt
t
 


55
t
tt 
ee
22


  



(
which gi ve s


36)



1
15
522
lim10 55
t









 (
e can be adjusted by the power of
37)
in which the co mpressure of the input ensemble encoded
stat

in the non-
linear term through NME. One can finds that the power
increases with the compressure increase, i.e. if the power
6 for

in the nonlinear term is changed to n, then
one can obtain the compressed intensity of state is in-
creased as

 
1
1
22
lim2 1.
n
n 

11
tnn


 


All of these are processed in the open sys




tem through
an interaction between system and environment. There-
fore the above information soliton in the open system can
be used in quantum information for long time a
distance channel to carry information. The characteristics
of transmission states in this constructed channel is stable
without decay even considering interaction from the en-
usly mentioned, this possibly provides a
channel to su pport the phenomena of long distance trans-
mission of bio-information in the somatic
this sense, the above proposed squeezing coherent state
o
n
riments demonstrate that there are various
color lights and electromagnetic waves existed in the
processes. This is coincided to our model that the coher-
ent states are a sort of electromagnetic waves.
2) The experiments show that this sort of bio-infor-
m
(38)
nd far
vironment.
As previo
sciences. In
described by NME may provide an efficient information
channel for the long distance transmissin of sensing
thinking without decoherence or decaying. As comparing
we give following several corresponding between as-
sumptio and facts from the relevant experiments in refs.
[16]:
1) The expe
ation can transmit over 100 km long distance without
decay. This can be carried by the information solitons as
a channel described by our model because of the in-
variant structure when time past long enough.
3) This sort of “information solitons” possesses
macro-quantum tunneling ability to tunnel many obstacle,
such as through the metal mesh shield, which discussed

Q. BI, K. Z. SONG 928
in refs. [7] and [21] as a kind of the macro-quantum tun-
neling. This is coincided with the phenomena in the ex-
pe
ing coherent states coming from the subject, can
no
riment that the emote sensing thinking wave crossing
through the metal mesh shield allow the receiver to get
the information.
For further proving our points, below we propose a
mechanism of ideal experiment for a long distance to
disturb the electric equipment (TV, or computer) by re-
mote bio-sensing thinking transmission.
The key concept of mathematical physics here is that
the bio-information density, which is composed of the
squeez
nlinearly interact with the information density which
come from the object. This can be described by the fol-
lowing equation:

†† ††
d,
ooooo
o
aaaa aaaa
t
 
 
 

(39)
where o
d 

represents a density operator of an object
system described by NME and

represents a bio-
information density operator from the subject, and

is
a coupling number to introduce a nonlin ear term, o

 .
This nonlinear interaction can be adjusted by the subject
field

, so that

is proportional to o

through a
sort of resonance between the coherence states

and
o

:
,
o

 
then the approximation of solution o

for the object is
transferred to have an invariant structure as an infor-
mation soliton from original decaying structure, which is
described by


†
†2 2
†
†2 2
1
21
0
2
†
42
†
1
lim ee
e
aa
aa
oo
t
aa
a
aa
a
 


0
e .
a
a 













 




(40)
This changesstates o the original

in the
system so that the wav function of the object
turbed by the bio-information soliton from the subject.
e i
e ev
hp o
example, since 1992, Sheng Jingcng and Sun Chuling
have successfully developed an ordinary photographic
co
btained, with high resolution and rich in-
formation content. Moreover, this sort of radiation from
Sun Chuling acupuncture points, can penetrate through
black paper and tin box to make a photographic sensiti-
zation even far from distance, which means the br
electromagnetic wave by Sun Chuling are quit compli-
cated. Furthermore, Sun Chuling seems to show ability to
disturb the computer screen from long distance [22]. Not
on sh
object
is dis- e
Thus thobject (electricity equipment) function states
can be agitated by the bio-informaton from the remote
subject.
The above ideal assumption is supported by thi-
dences, although the further experiments are necessary:
1) Te human body could broadcast comlicated elec-
tromagnetic wave, coherent states should be not prblem
for certain people who have special fu nction abilities, for
hua
film method in functional state of nsciousness field
information clearly recorded on film, large reflect the
characteristics of information consciousness field RS
images were o
oadcast
ly Sun Chuling but also Zhang Baoeng had meas-
ured the complicated spectrum of electromagnetic wave
by Song Kongzhi when he performed some experiments
[23].
2) In fact, there had been many electrical interference
phenomena often occur around Zhang Baosheng. At that
time, when Song Kongzhi went to Zhang Baosheng in
the bedroom, he often shew him to interfere with televi-
sion function. He blew his television in the doorway to
enable the color to become black and white, and he could
also make the image disappeared all of a sudden. How-
ever, because this is in his room, Song Kongzhi was un-
able to determine its true nature. Until one day he came
to Song Kongzhi home, when he entered a door to see a
TV is open he blew, the color became to black and white,
then he blew again, the images in the TV disapeared,
finally he gave another blow again, the color and pictures
in TV returned. The TV set at least 4 - 5 metres away
from him. Moreover, the TV was placed near the window
in the house corner, while he was standing in the door-
way. Another time, Song Kongzhi had a minicomputer
connnected with a printer produced by America Texas.
Song edited a program to print sine wave, Zhang
Baosheng was once to change a sine wave to flat wave.
In addition, as often saw a situation, when people made
call, he was blowing from far away, then the call was
disconnected [23].
4. Conclusion
A type of nonlinear kinetic equation is introduced. The
nonlinear term n

enables the squeezing coherent state
to tend to be invariant without decaying when time
elapses enough long. While the power n can be used to
control compressed intensity of coherent state. These two
characteristics provide a constructive channel for the
quantum information transmission in the practical system
against decoherence or damping, which possibly pro-
vides a wave carrier to allow long distance transmission
of bio-information from the human body shown in the
relevant experiments of the somatic science.
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