Does God Play Dice with the Universe?

INTERNATIONAL FEDERATION
FOR SECULARHUMANISTIC JUDAISM

              Does God Play Dice with the Universe?
                  
by Peter Bishop
 
One of Albert Einstein's most famous quotes on the subject of God is a paraphrase of a statement that he made when talking about the Heisenberg Uncertainty Principle. He is supposed to have said: "God does not play dice with the Universe." Today, most physicists simply think that Einstein was wrong on this issue. For any reader who is not familiar with this controversy that has raged in science throughout most of the 20th century, it is fortunate that wikipedia has an excellent article on quantum mechanics that is a good starting point to learn about this issue. Wikipedia also has a wonderful article on Einstein's treasured quotes that is a good starting point in understanding him.

There is another side to this issue, especially from a philosophical perspective, but in a way few have recognized. Today, our financial institutions rely on random number generators inside of our computers that are of a much higher quality than any imagined before 1960. Since these random number generators are the result of software running in our digital computers, we know that they operate deterministically (they do not use quantum mechanical elements that might be inherently random). Modern computers have even eliminated the ever-present electromagnetic "noise" throughout our environment, and established deterministic and programmable devices that stop working whenever a random bit of noise penetrates the deterministic design of the system.

These random number generators have been given a specific name in computer science: random number generators of cryptographic quality. This means a random number generator that is so good that no other bit of software can predict the future random numbers it will generate. What is interesting about these random number generators from Einstein's perspective is that they show that it is possible to build random number generators that appear to be totally random even though they actually operate in a deterministic manner. In addition, the triumph of the late 20th century was the creation of totally deterministic machines: namely, computers, built from noisy electronics. Thus, we see that it is possible to construct totally deterministic machines out of components that have many random elements.

This was captured in poetry in the early 20th century by Lord Dunsany at the very beginning of "The Gods of Pegana":

In the mists before the Beginning, Fate and Chance cast lots to decide whose the Game should be; and he that won strode through the mists to Mana-Yood-Sushai and said: "Now make gods for Me, for I have won the cast and the Game is to be Mine." Who it was that won the cast, and whether it was Fate or whether Chance that went through the mists before the Beginning to Mana-Yood-Sushai -- none knoweth.
Given the mathematical recognition in the late 20th century that not all natural phenomena are predictable even if only because we cannot know the initial conditions precisely enough, an argument against Einstein's position is that Lord Dunsany's suggestion actually represents the best scientific thinking of the late 20th century and this is not likely to be changed until late into the 21st century at the earliest. We now know that a layer of abstraction in physics could appear to be deterministic while in fact being built of non-deterministic elements, but we also know that an abstraction in physics that appears to be non-deterministic might, in fact, be built on a layer that is completely deterministic. Physicists have not fully appreciated the truth of these statements, and so general thought among physicists today is that there exist significant non-deterministic elements in the fundamental laws of physics. As a philosopher who is less caught up in the discoveries of this decade, however, I believe my perspective that this issue is currently unknown more accurately reflects the state of knowledge that is appropriate for the non-physicist who is not actively involved in moving the investigation forward.