At 4:33 PM 9/17/4, Keith Nagel wrote:
>Hi Horace,
>
>You'd be surprised at some of the lurkers here. Wish they'd
>put a nickel in the slot every once and a while.
>
>I'm a little confused about why this is such an accomplishment.


I do not have enough information or understanding of the actual experiment
to comment.  I know only what was posted.  However, I will still have the
audacity to comment from the basis of general principles involved in the
issue, yet which I do not fully understand either!   I expect the act of
engaging the subject may lead to a better probability of my understanding
some apsects of it!  8^)


>Let me describe an experimental setup I worked with for
>some time, that has relevance to this.
>
>The experiment was designed to measure wave speed, and we
>needed a way to synchronize two detectors at a distance
>from one another. The solution was very simple. The
>detectors are equidistant, at the center was a pulse
>generator. A pair of air core transmission lines lead
>one to each detector. A pulse from the generator would
>arrive simultaneously at each detector, giving a light
>speed delayed timed pulse to each. Because the detectors
>were equidistant, they could be matched to within
>the resolution of the pulse rising edge ( ~ 10 ps ).
>The limit was the edge detection, it could have been
>1 ps if that was needed.


I think the above is a false assumption.  Temperatures are not the same
everywhere, and tempertures are typically in a state of change.  The
problem of clock synchonization, it seems to me, boils down to knowing were
you are in *both* space and time, at a given moment.  The length of one
cable can changed by simply being heated up or cooled down. Even if light
beams are used, the distance between two places on the surface of the earth
can change just by heating of the earth's crust, or by seismic activity.
Light moves at 3x10^8 m/s, so a nanosecond is about 30 cm, and a picosecond
is a mere 0.3 mm.  Knowing the time delay of a light speed signal to the
nearest nanosecond in an approximately 2 km test requires knowing the
distance doesn't change by more than .3/2000 = =1.5x10-4, or 0.015 percent.
You can see that knowledge of distance plays a very significant role if
accuracy down to the picosecond is to be obtained.


>
>Is this circuit really any different that what's been
>described in the AIP bulletin?

Again, I don't really know what the circuit is in the AIP described
experiment, but will respond based on general considerations of the issue.

>What do you think? I have
>a hard time getting past "bertlemans socks" despite
>reading at some length on the hidden variable problem.


Before trying to answer your question, I feel I should first say it strikes
me that clock synchronization is not really different from information
transfer.  If one can even merely (though nearly instantaneously) determine
whether two "clocks" are in synchronization, then by frequency modulation
of one of the "clocks" one can transfer information.  But, that said, let's
talk about the value of instantaneous information transfer to clock
sunchronization and the hidden variable issues involved here.

It seems to me the important thing experimentally is the distance between
the clocks (in terms of light path length).  The smaller the distance
between the clocks, the less the absolute distance can vary during the
synchronization, and thus, since light travels at constant speed, the
better the synchronization.  The experimental variables are more easily
controlled the shorter the distance between clocks.  Timing precision is
limited by the ability to control or to know of any changes in distance
during the synchronization.

This principle, that increased distance adversely affects synchronization
accuracy, goes out the window if instantaneous communication is involved
over some large part of the distance between the clocks.  The speed of
light c then has no relevance to that large portion of the distance.  The
distance that has relevance to synchronization accuracy is then merely the
distance between the quantum entanglement "reciever" and the second clock,
including the synchronization circuit, plus similar concerns at the sending
end.

That said, it seems to me that distance still plays an important role in
the instantaneous portion of the communication link, assuming that is, that
there is no hidden variable involved in quantum states.  If quantum state
is not determined until measured, then time of measurment plays an
important role.  The quantum state is only determined when the state of one
of the entangled pair is measured.  It can not be known in advance which
member of the pair will be the "transmitter" of the quantum state and which
will be the "receiver."  Whichever member is measured first sets the state
that will be measured when the second member is observed.

In the discussion that follows, it is assumed that hidden variables do not
exist.

When an entangled pair is sent to both Alice and Bob, if Alice measures a
state first, then Bob is the receiver of the (conjugate) state set when
Alice measured it.  However, if Bob measures the state of the pair before
Alice can set it by measuring, then Alice is (possibly unwittingly) the
reciever.  Neither can tell which is which, based solely on the receipt of
a single photon.  However, the FTL communication method I posted is based
on measuring the frequencies associated with accumulated results, i.e beam
intensity.  Since, in the proposed FTL method, the sender Alice's observed
frequencies (probabilites)  of polarization orientation can be manipulated
by choice of path at the sending end, the reciever Bob's observed
frequencies will be the same as Alice's (though observed as conjugates)
*provided Bob's measurment occurs after Alice initialy observes and thus
sets the frequencies/probabilites*.

The degree of instantaneousness of the information transfer is dependent
upon Alice waiting to the last possible moment to do her measurment, and
Bob doing his observation as closly as possible, yet after, the time Alice
does her measurment.  If the photon pair is sent through the vacuum by an
intermediary Charlie located halfway between Alice and Bob, then, to be the
reciever, Bob must be located slightly further away from Charlie than
Alice.  To send, using the same beams, Bob needs to be slightly closer to
Charlie than Alice.  The precision of such an arrangement with regard to
clock synchornization is then limited by control of the incremental
distance, not the absolute distance.  The signal delay is set by the
incremental distance, i.e. the difference between the distance of Alice
from Charlie vs Bob from Charlie.

Now, you can (I think rightly) say that the variability of the full
distance between Alice and Bob is involved in either communication method.
However, suppose Bob has an optical bench at his end of the beam, and the
center of that bench is located roughly at the mean distance that Alice is
from Charlie.  The bench is long enough to accomodate the largest change in
distance between Bob and Alice, i.e the largest possible time error.
Suppose Bob has a sensor that can determine whether the beam has a 50/50
polarization or not, and that this sensor can slide across the bench.  When
the sensor is at the extreme end of the bench toward Alice, it will receive
photons with a  50/50 polarization distribution.  That is because Alice has
not measured the cojugates yet, and Bob is then the "sender".  When Bob's
sensor is at the other end of the bench, the signal Alice imposes can be
sensed.   (It is assumed the device Alice uses to impose the signal is
small comapred to the bench size.)   Call the point on the bench where the
50-50 signal switches to an information signal the "switch-point".  The
switch point moves on Bob's bench as the distance between Bob and Alice
changes due to extraneous variables.  However, if the switch-point moves
slowly enough, in comparison to Bob's ability to detect its location, and
Bob can quickly switch to a signal reciever further down the bench by known
distance x, then the error in knowldge of distance x is all that is
involved in the clock synchronization error.  Bob only needs the ability to
move the switch-point detector and signal detectors in unison fast enough
so that the switch-point detector tracks a fixed distance to Alice with the
required accuracy.

We can now see the difference between the precision of the two methods.
The difference between the quantum method vs the deterministic method, is
that the precision of the quantum method is based on a small and fairly
readily controllable difference of distances vs the overall distance.  At
least that is what I see from my limited amateur perspective.  I could have
this all wrong though!

Another major difference is that, when using the quantum method, the nature
of the signal to be imposed for time synchronization can be changed very
close to the time the synchronization is to occur.  This would be useful if
the synchronization of various clocks needed to occur over, say,
interplanitary distances.

It is also of interest that the suggested methodology for determining a
fixed distance could be used to detect space-warping due to gravity waves,
or any other cause.  The problem is determining the meaning of space and
time.  If events can occur instantaneously across any distance, then
Einstein's space-time does not adequately describe the universe, and we are
left holding a very large bag of unknowns.

Regards,

Horace Heffner          


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