CHAPTER EIGHT
Transactional
and the Consistent Histories Interpretation
8.1 Transactional Interpretation
In Cramer's Transactional
Interpretation the wavefunction is
taken to be an actual physical wave as opposed to a representation of the
probability. When a quantum event takes place between two quantum objects
(observed and the observer), an 'offer wave' of the state vector is sent out by
the observed in all directions which does not carry any observable
information When this wave
reaches the observer it sends back a 'confirmation wave' as echo. The echo with the original wave produces a standing wave in space-time. It is along
this wave that momentum, energy, and other quantities that need to be conserved
are transferred. This wave remains until the transaction is complete. The wavefunction collapse only when the
transaction is complete. Hence we have the name Transactional Interpretation. In this interpretation, the objective reality
is the result of interference of two waves producing a localization. As long as the observer does not reflect the
incoming phase wave, the event does not take place,
Here again the
individual events are indeterminable. In the Transactional Interpretation the
state vector is considered to be a real physical wave emitted as an "offer
wave" based on the preparation procedure of the experiment. The "confirmation wave" is also
real so that a real standing wave is produce, which forms the guiding
path. We will never know the process
until the transaction is complete. When
the transaction is over the input itself have changed and is totally collapsed
beyond its original form to make any consistent deduction about it. As long as
we are able to observe only what we know in history and our own present
experience, we only know what is received and can in any reasonable level
understand neither the offer wave nor the process of transaction in any given
historic event.
8.2 Consistent Histories Interpretation
In the Consistent Histories
Interpretation we have a similar situation because there the observed event
again is a fundamental input in the sense that it determines the set of
possible histories consistent with the observation made. There is no attempt to
try to explain why a specific event happened except for the fact that it be
consistent with the observed fact.
Quantum
mechanics makes predictions with respect to an ensemble of many individual
events. These predictions are only to give the possible observed values of any
situation. These occur as eigenvalues of the eigenfunction associated with the
state. Which specific event in the diagonal density matrix of the system is
observed in any experiment cannot be predicted by the mechanics. This leaves a
lot a leeway for freedom of will. God has predetermined the possible outcomes
of the event. But which one is the outcome is not predetermined in individual
measurement. We are not able to explain why specific events happen. It is
simply related somehow to the particular coordinate system in multispace. While
there is a definite Cause-Effect relationship it is not deterministic.
So, Pauli, in one of his letters state,
"That which is physically unique cannot be separated from the observer
anymore - and therefore falls through the net of physics. The individual case
is occasion and not causa. I am inclined to see in this "occasio" -
which includes the observer and his choice of the experimental setup and
procedure, -”revenue" of the "anima mundi" (of course in
"changed shape") that was pushed aside in the 17th century. La donna
é mobile - also the anima mundi and the occasio."
[Pauli Letter Collection, CERN, Geneva
9992.063, published in K. V. Laurikainen: Wolfgang Pauli and Philosophy.
Gesnerus 41, (1984) 225-227.]
Wheeler[John
Archibald Wheeler: Law without Law. In "Quantum Theory and
Measurement", eds. J.A. Wheeler and W.H. Zurek, Princeton University
Press, Princeton (1983) 182.] interprets this by assuming that the individual
process in quantum mechanics as an elementary act of creation. If we translate
this in soteriological terms it has tremendous implications. Every human
decision is a creation ex-nihilo. This is probably what the statement "In
the image of God, created He them " essentially mean. So a person is not
making a decision but creating something totally new. We are involved along
with God himself in creating the Universe we live in. We are co-creators with
God. This is exactly why a discordant
act of hate on the part of Adam and Eve resulted in a world with
thistles and thorns – a world sin and death. This is understandable because
unless the conscience make a choice how can the event takes place in the
external world.
The
conscience itself is guided by the wave function, which contains all
consciousness – the created and the creator - at all stages. The question of
predetermination is totally out of question because the situation has never
been. This is the new approach that only the present exists and not the future.
Future is being created by personal involvement of consciousness. God himself
has not created any future. He created the conscious beings that are also
involved in the creation process. Thus every intelligent consciousness takes
part in the evolving universe in a continuing process of creation. The quantum
phenomenon comprises both the quantum system and the measuring device, Wheeler
states that we as observers are free to decide in which way we will bring a
quantum phenomenon to its close. We decide, by choosing the measuring device,
which phenomenon can become reality and which one cannot? Wheeler explicates
this by example of the well-known case of a quasar, of which we can see two
pictures through the gravity lens action of a galaxy that lies between the
quasar and ourselves. By choosing which instrument to use for observing the
light coming from the quasar, we decide
whether the photons act as a wave to produce interference (from rays
passing on both sides of the galaxy) or as particles (traveling at either side
in trajectory). In both cases the individual process contains an element that cannot be controlled. For example if we
decide to measure the path of the photon - to let the path become reality - we
have no influence on which of the two possible paths of the photon actually
will be observed.
This
is the reason why the individual quantum phenomenon can be considered as an
elementary act of creation. We as observers play a significant role in this
process since we can decide by choosing the measuring device to define the
quantum phenomenon as realized. Still, we cannot influence the specific value
obtained through any such measurement and since we are part of the universe,
the universe creates itself by observing itself through us. It is the image of
God within us that produces this creative power.
Rom. 11:29 for God's gifts and his
call are irrevocable.
Yet it is not the kind of creation, which God made, but the
reflection of it. Though we cannot completely control the measured value, we do
contribute to the final outcome. We are part of the future not as a passive
observer, but as an active involver. The nature of created
reality is a process; a long, long series of events- or occasions- all of which
are interdependent upon each other. It is not a bunch of material realities
developed by the Creator. It is a
series of "concrescences," of "coming-into-existence," of
which everything in the universe partakes.
We are cocreators with God. Even
when the whole cosmos was brought to chaos, God recreates a new universe out of
chaos. He has called and separated a
people in order to bring about this change. Our lives profoundly affect other
living and non-living. In this complex
web of interdependent processes, we have the options of choosing death or
choosing life.
We have seen that in classical and quantum physics, randomness and
unpredictability are fundamental. I believe that these concepts are also found
at the very heart of pure mathematics.
G. J. Chaitin
“I believe that the existence
of the classical "path" can be pregnantly formulated as follows: The
"path" comes into existence only when we observe it. “
--Heisenberg, in uncertainty
principle paper, 1927
Deu 30:11 "For this commandment
which I command you this day is not too hard for you, neither is it far off.
Deu 30:12 It is not in heaven, that you
should say, 'Who will go up for us to heaven, and bring it to us, that we may
hear it and do it?'
Deu 30:13 Neither is it beyond the sea,
that you should say, 'Who will go over the sea for us, and bring it to us, that
we may hear it and do it?'
Deu 30:14 But the word is very near you;
it is in your mouth and in your heart, so that you can do it.
Deu 30:15 "See, I have set before
you this day life and good, death and evil.
therefore choose life.
http://www.npl.washington.edu/ti
Transactional and the Consistent Histories
Interpretation [J.J. Halliwell, "A Review of the Decoherent Histories
Approach of Quantum Mechanics" in "Fundamental Problems in Quantum
Theory", ed. D.M. Greenberger, A. Zeilinger, Annals of the New York
Academy of Sciences, 755 (1995) 726.]