Science in Christian Perspective
Randomness in Quantum Mechanics and Its Implications for Evolutionary
Theory
RONALD S. REMMEL
Department of Physiology
University of California Berkeley, California 94720
From: JASA 26
(September 1974): 96-98
Randomness is intrinsically contained in quantum mechanics because the theory
can predict only the probability of occurrence of events. But no one knows how
this randomness in nature is generated. Mendel's laws and mutations
are examples
of such random events. At least four possibilities exist: 1) The world is truly
random. 2) There is a yet-undiscovered underlying deterministic theory. 3) Some
divine being occasionally modifies the randomness. 4) Some divine
being determines
the random numbers. This talk was one of about fifty given before the
California
State Board of Education on Nov. 9, 1972 concerning the teaching of evolution
in public schools. As a postscript I give a Biblical outline of how God acts in
the world. In God's eyes, the world is not random at all.
Quantum Mechanics
In the 1920's Schroedinger, Heiscnberg, Dirac and other physicists
developed quantum
mechanics, which forms the basis of all modern physical theories. Together with
the electromagnetic, gravitational, strong, and weak forces, quantum mechanics
is believed by
most scientists to provide a complete description of physical and
hence chemical,
biological, geological, psychological and all other natural phenomena. Newton's
classical laws of motion, for instance, which predict the paths of spacecraft
so well, are merely macroscopic approximations of the quantum laws.
In quantum mechanics the behavior of a "particle" (e.g., an electron
in a hydrogen atom) is described by a "wave function" which
is a function
of the spatial coordinates and time. The probability that the particle is near
the specific point (x, y, z) at time t is given by the square of this
wave function.
The theory does not specify exactly where the particle is, only the probability
that it is in a certain region. For macroscopic systems this
uncertainty in positon
is usually negligible.
If we were to make measurements on precisely identical hydrogen
atoms, the electron
would he found in various different positions at random, with a
greater probability
nearer the proton. Other atoms, molecules, and complex biological systems have
similar wave functions, though the complexity of calculating them
usually exceeds
the capabilities of present computers.
As a second example I would like to discuss my thesis experiment, one
of hundreds
which have been adequately explained by quantum mechanics. We studied K-mesons
produced by a particle accelerator. These radioactive particles weigh half as
much as a proton and have a half life of only 12 billionths of a second, that
is, half of them at random disintegrate after this time and half are
left. Every
one was, however, exactly identical, as far as we know, when it was
made. Furthermore,
5% of the time-at random K-meson will disintegrate into three pi mesons, and
the rest of the time into other particles. The directions and velocities of the
pi mesons also follow a random distribution; we measured this distribution.
For comparing our data to theory we generated pseudo-data on a computer using
random numbers whenever a random process occurred. The computer
included the magnets,
spark chambers, and other particle detectors, just like the real apparatus. The
simulated data and the real data were identical within the 0.3% statistical error.
The quantum prediction thus agreed with our results.
Randomness
Now I did not tell you how we generated random numbers on a computer. Because
digital computers are completely deterministic in performing calculations, our
"random number" program was absolutely deterministic. We
were most careful,
though, that the "random numbers" were effectively random
in a statistical
sense. But, as far as the physics was concerned, there was no way to tell the
difference between our real data and our deterministic
computer-generated "data".
Quantum mechanics says that there is a basic
unknowableness about the world. The K-meson will either decay or not
decay after
a certain time, but the
Is the world really random or does it only appear that way to our limited knowledge?
scientist cannot predict which. Quantum mechanics forms the foundation for all
modern scientific theories. Quantum statistical mechanics describes the motion
of large numbers of particles; air pressure is the average of the
random impacts
of gas molecules. Solid state physics describes solids by quantum
mechanics; the
hiss of a radio tuned between stations is caused by the random fluctuations in
electron flow in the transistors. Weather calculations, presently
inaccurate beyond
a few days, are believed to he limited by random fluctuations in the atmosphere
over times of months or years. Chemical reactions, including those in
our bodies,
are the chance interactions of molecules. Our eyes, able to detect
single quanta
(particles) of light, are limited to statistical fluctuations in the arrival of
those quanta. The transmission from one neuron to another in our
brains is influenced
by randomness in the release of the transmitter chemical-our thoughts are not
deterministic. Mutations and Mendel's laws of geneticssupposedly the
driving forces
of the evolutionary theory -are random. History and thus evolution
are fundamentally
impossible to predict through science because history depends on
genetically-random
individuals (e.g., Hitler) and "accidents" (e.g., where the
bullet lodges
during an assassination attempt). It is slightly possible that home
sapiens will
not exist on this planet five years from now.
Possible Interpretations
Is the world really random or does it only appear that way to our
limited knowledge?
At least four possibilities exist, all of which are equally
consistent with present
scientific data.
1. The world is truly random. There is no underlying meaning or purpose. Human
beings are the result of random genetic combinations, mutations, and
natural selection.
Whether we live or whether we die or whether we murder another human being can
all be possible outcomes of the quantum equations.
2. Quantum mechanics is only an approximation to an underlying
deterministic theory,
just as a deterministic random number program on a computer can
generate effectively-random
numbers. Perhaps scientists will some day discover such underlying processes.
But again there is no basis for meaning or purpose.
3. Some divine being allows the world to run more or less randomly but modifies
the random numbers at chosen occasions.
4. The "random numbers" are determined by a divine being for his own
purposes. Processes appear random when scientists observe them, but
present events
and the origin of life are directed by this divine being.
As a scientist I feel that textbooks which declare that present-day events and
the origin of life are the result of mindless and meaningless chance
are expressing
an assumption, not a scientific fact. Science teachers and texts should stress
not only the limitations and uncertainties of present data and
theories, but also
the
basic quantum-mechanical unknowableness and its implications for
unpredictability
in evolution and history. Humility in the face of this unknowableness
is certainly
in order.
Postscript
For the Christian the evolution-creation controversy is only part of
much larger
considerations. The atheist sees only mechanistic, random physical processes in
the world. But in the Bible almost every page is full of God's activity. God is
active now; he did not stop after finishing creation.
1. Ancient Israel. God established his covenant with Abraham and
worked in history
for Israel's sake. Some theologians believe that God has restored Israel today
in fulfillment of prophecy.
2. The fate of nations. Wise Solomon said, "The king's heart is a stream
of water in the hand of the Lord; he turns it wherever he will." (Prov. 21:1,
RSV)
3. The coming of Christ. Numerous prophecies foretold the coming of
Jesus Christ.
The virgin birth, miacles, and the resurrection were not natural events. Jesus
predicted at his trial that he would come again on clouds of glory
(Mt. 26:64).
4. The preaching of the Gospel throughout the
world. Jesus prophesied, "And this gospel of the kingdom will be preached
throughout the whole world, as a testimony to all nations . .
.". (Mt. 24:14)
God is now bringing this about. In the early Christian church, the Lord added
to their number day by day those who were being saved." (Acts 2:47b)
5. The Holy Spirit living in Christians. Jesus said to his disciples, "If
you love me, you will keep my commandments. And I will pray the Father, and he
will give you another Counselor, to be with you for
ever, even the Spirit of truth, whom the world cannot receive,
because it neither
sees him nor knows him; you know him, for he dwells with you and will
he in you."
(John 14:15-17)
6. God's care for each Christian. Jesus said at aonther time to his disciples,
"Arc not two sparrows sold for a penny? And not one of them will fall to
the ground without your Father's will. But even the hairs of your head are all
numbered. Fear not, therefore; you are of more value than many sparrows."
(Mt. 10: 29-31)
7. The power of prayer. Jesus again said, "If you abide in me,
and my words
abide in you, ask whatever you will, and it shall be done for you." (John
15:7)
8. God's direction of the future. Read the book of Revelation.
9. The reality of the Devil. Paul says, "For we are not contending against
flesh and blood, but against the principalities, against the powers,
against the
world rulers of this present darkness, against the spiritual hosts of
wickedness
in the heavenly places." (Eph. 6:12)
Personally I believe that the fourth interpretation is correct,
namely, God determines
the random numbers. An interesting verse is, "The lot is cast
into the lap,
but the decision is wholly from the Lord." (Prov. 16:33). A
modern paraphrase
might be, "What appears random to man is wholly determined by God."
Much of God's activity in the world today can be described within the
known laws
of science, in that God foresees (calculates?) the future and accordingly has
chosen the initial conditions of the universe and the random numbers
so that His
will is fulfilled. But I also believe that God freely acts to perform miracles,
such as the virgin birth and the resurrection.