Nowadays all chance games, e.g. backgammon, risk, card games, etc.
rely on the physics of Chaos theory. I suggest to make them depend on Quantum
theory and thus make them truly chance games. In order to understand
this project some background is in order.
Chaos theory states that given a small change in initial
conditions, the amount of change in later times grows exponential, i.e. the
changes later are huge. The so-called "butterfly effect" states (wrongly, I think) that a butterfly moving its wing in Africa can cause a hurricane
in America. My interpretation of Chaos theory (which I learned since I was 16
years old) is somewhat different. The "problem" in Chaos theory is
not in random or even small effects; the problem is lack of knowledge
of them. Chaos theory has completely no randomness in it; it is based on
Newtonian deterministic dynamics. Hence, as Newton stated, if you know all
the initial conditions, you can predict the future completely. Chaos theory
states that if you don't know all the initial conditions, i.e. some
conditions are simply unknown or immeasurable, then chaotic systems will be
unpredictable as time progresses. The uncertainty in prediction is due to lack
of knowledge and not true randomness.
How all of this relates to chance games? Rolling the dice means
that you do not know all the initial conditions, e.g. the exact force expended,
the friction with the air and the table, the exact shape and mass-distribution
of the dice, etc. Hence, each throw has some different initial conditions and
hence you cannot predict its future. A counter-example: weighted-dice have known
important initial condition of asymmetric mass-distribution, such that no
matter the other initial conditions, the toss is always the same. Weighted
dice show how knowing, or better yet determining, the initial conditions can
result in a predictable future in an otherwise chaotic system. Shuffling of
cards prior to distribution follows the same logic.
So why is quantum physics so different? Quantum physics has shown
that (to the best of our scientific knowledge) there is an inherent
randomness in the world, i.e. there are some systems that you cannot, even
if you know everything (all the initial conditions), predict their
future. Once you make your measurement of the future, the result is completely
and utterly random. I will not go in detail how this is possible or how that
was proven, but you can look at my Quantum Computer Games to get the
gist of it. However, this is a known scientific fact. A question arises: what
are those quantum systems that behave in such a random way? The answer is small
(really small) systems, such as a single atom, a single electron or such
(although larger systems have been shown to behave in a quantum manner, the
record being a virus!).
The project thus suggests to use a quantum system as the chance
element in chance games. This is obviously not easy since quantum systems are
hard to manufacture and maintain. The most formidable challenge is to isolate
the system from the environment. However, I can envision a small portable product whose sole
purpose is to generate a 0 or a 1, randomly, based on a quantum system.
Suggestions for such a system are: single-photon emitters, which are now
commonplace in research laboratories; solid-state systems, which are becoming
the most promising avenue to the coveted quantum computers; quantum-dot
systems, which can hold a single electron. Such a system can easily be transferred to a dice (1-6) or distribution of cards, using standard (classical) hardware. Hence, the results of such a
product, the quantum die, will be truly random and give a little tweak to the
word "chance" in chance games.