Information Transmission Without
Energy Exchange: - BY Achim Kempf
Receiver when does certain amount of work out 'On and Off' , then
according to Huygen's Principle , it is possible to receive Signal without
Energy Exchange from Transmitter. This kind of Energy Exchange in Communication
is called 'Quantum Collect Calling'. The space and time is Curvature in nature and
the information gets linked between 'Transmitter and Receiver' through this
Curvature in the mass-less Field . The same kind of communication is given by
'Casimir Interaction' . The information travels slower than the speed of light.
Light is the 'Collection of Wave-Field' which gets exerted or Sailing by Waves
–Curvature riding the dynamical Flow of 'Curvature'. So no 'Energy' is
transmitted through 'Sender' to 'Receiver'.
It is introduced the
following below method of 'Information Exchange between Transmitter and
Reciever' :-
1)No emission or
absorption of real quanta is necessary.
2)The information
exchange need not be carried out by an Energy Flow.
3)Though it is
massless nature of 'Curvature' , the Information Energy travels slower than
Photon.
The Strong Huygens'
Principle in QFT – The Green's Functions of the massless 'Klein-Gordon field in
3+1D Minkowski has strong support only for 'Light-Cone'. Any disturbances in
the Minkowski space-Time propogates through this null-Geodesic Field Curvedly.
Time-like Signaling:-
Bob's excitation probability
Pe(t) can be found into three contributions.
1) Bob's excitation probability |αβ|2 due to his initial state.
2) Bob's excitation probability R(t) due to
noise.
3) Signalling Contribution.
Bob's excitation
probability three contribution equation as :-
Pe(t)= |αB|2 + R(t) + S(t).
The Noise caused
probability R(t) for Bob's detector to be found excited has two sources:-
>One source of
noise is the switching that couples Bob to the field .
>The second source
of noise in R(t) is the Quantum Fluctuations of the field that Bob picks up
once Bob is coupled to the field. R(t) is independent of Alice , i.e, it
contains no dependence λA
.
The Signalling
contribution S(t) , determines how Bob's excitation probability is modulated by
Alice's interaction with the field . Expanding S(t) ~
λA λBS2 +O(λ3) , its leading contribution is :-
.................... (1)
Notice that , in (1),
the trace , i.e, the expectation of the commutator , is independent of the
state of the field . Therefore , while 'S' is , off-course dependent on the initial state of the field ,
its leading order contribution , 'S2' , is independent of the state of
the field.
Note that for 'S2' to be the leading order contribution to
S(t) , we require that neither of the detectors starts out in an Energy
Eigen-State :
The Signal , carried
by S(t) , competes with the Quantum Noise R(t) , and the question arises
whether there is a threshold level of 'Noise' above which communication is no
longer possible. We will now show that , within the perturbative regime , for
any Noise Level , a finite Channel , can be achieved straight forwardly.
Correspondingly , we will also show that Bob has a better than 50% success
probability of guessing correctly an equal distributed random bit sent by
Alice.
When Alice encodes
'0' , Bob has a probability of either '1' or '0' due to the
If 'Alice' chooses to
send '1' , then the probability of coupling increases and it is given bit as :-
½ +s(t).
Or p , 1-p.
An Asymmetric Channel
between 'Alice' and 'Bob' gives following 'Shannon Capacity' which couples the
bits.
Crucially , the capacity is non-zero
whenever P≠q. Hence the Signaling Contribution S(t)
is Non-Vanishing.It is clear technically that the finite capacity between
'Alice' and 'Bob' is never completely drowned by Noise .
The 'Channel Capacity' can be expanded as
–
The small coupling expansion happens to
Symmetric in λA and λB.
Any increase of Bob's and Alice's λ2A λ2B Couplings
increase the Capacity.
Signaling between Time-Like separated UDW
detectors is possible whenever the strong Huygens' Principle does not hold if
the commutator between two points does not vanish.
It is possible to couple two detectors
around these points to the field such that (1) does not vanish and thus
Signalling is possible.
Remarkably , the signaling contribution
(1) does not contain an exchange of real energy carrying quanta . Indeed ,
Energy –Exchange processes(the sender's detector gets deexcited , emitting
energy to the field , which later excites the receiver) have amplitudes of
order O(λA , ,λB) . Hence , they only
contribute to Pe(t) at O(λ4).
Notice that , in 1+1 D where the
commutator is constant , arbitrarily many spacelike separated receivers could
be arranged in the future light-cone of Alice , such that all receive the same
signaling contribution to Pe(t) . Since the receivers are spacelike
separated , they can' t influence each-other. This shows that while the
Signalling contribution to <HB> is caused by Alice , it can't
be energetically sourced by her or it would violate energy conservation . We
wild see that the energetic cost of the excitation of Bob's detector is
balanced by the work required to switch the detector.
Conclusion – The Navigation is the main researching while
attempting highest speed by Space-Craft.
The Quantum Vacuum Fluctuation is the one possibility way of trans-receiving
the Information. No Threshold of Noise
can shut down the trans-receiving process while the Information carrier is Noise itself . The
Trans-receiving Shannon-Capacity can never become zero , rather it always
stands for giving value in Trans-receiving. If it is transmitted Quanta-Energy
, then in 3+1D , it can never become succeeded to receive Signal in Receiver because the
Quanta becomes mis-tracked. Hopefully , if Quantum Vacuum Energy
could be the way of navigating Space-Craft or any signal of Cosmos , then many
breakthrough achievement can get for the humanity.
Writer: Jayaram Bista and Charlie Currie
