I am thankful for fellow blogger Clyde Herrin for two reasons. First, he has been kind enough to repost several of my recent posts on his blog, thus expanding my potential audience. Second, he has given me food for thought in his comment on my recent “Summer Solstice” post. You may recall that I suggested that an Obsessive-Compulsive Creator would have given us thirty-day months and a 360-day year, allowing day and month and year to match mathematically. Clyde suggested that, in the beginning, the solar system operated in sync according to simple math, but that sin and the consequences of sin threw the system into a more chaotic set of relationships. He pointed me to a post of his ten years ago (which I had already read and liked some time in the past) in which he suggests that the turmoil of the Flood threw the earth’s day off from its previous length by about twenty-one minutes, resulting in the mismatch of days to years that complicates our calendars today.
I replied to Clyde that, in my opinion, God delights in complexity within creation and does not limit himself to simple relations. I mentioned complexity in biology and in subatomic physics, and I then offered the thought that God purposely put the sun, moon, and planets (including our earth) into a complex dance that does not simplify to easy mathematics. Continuing to ponder the possibilities after posting that comment, I have arrived at even more evidence that the patterns in our solar system are intended to be complex.
The evidence has been known for a very long time. Two thousand years ago, Greek mathematicians used geometry to study the world and even to comprehend complex ideas in number theory. Reality frustrated these mathematical geniuses. They wanted every number in the universe to be a fraction, a ratio, a balance of two other numbers. But these students of nature discovered that the relationship of the diameter of a circle to its circumference is not a rational number. It cannot be expressed as a fraction of two other numbers. That relationship of the trip around a circle to a trip across a circle is called “pi,” a number about (but not exactly) one-seventh more than three. Likewise, the relationship of the diagonal of a square to the side of a square is another irrational number, which happens to be the square root of two. Every square in the world, no matter how big or how small, has the same relationship of diagonal to side, and the number that describes that relationship is never a fraction or ratio of two other numbers.
It is no coincidence that we call those numbers irrational. Not only are “pi” and “the square root of two” not expressed by fractions, or ratios of two numbers; they also do not make sense to people who want mathematical simplicity in their world. It seems that God delights in complexity and does not settle for simple relationships in his creation. For people like Clyde and me, who believe in an Almighty God who created heaven and earth and all that exists, that raises interesting questions. Is the Almighty God limited by rules of geometry, so that circles and squares could not exist apart from the irrational numbers that describe them? Or could God have created a world with different mathematical rules and different geometric proportions, a world that was fully rational even to ancient Greeks who studied the world and the things it contains?
Such questions go beyond science and mathematics and geometry. Identical questions can be raised about ethics. Is the Almighty God answerable to rules about good and evil, or does he get to write all the rules? Those who call Him Almighty define “good” as “whatever God likes” and “evil” as “whatever God does not like.” Our debates about good and evil, then, come down to God’s statements to us about what he likes and what he hates, the behavior of which he approves and the behavior of which he disapproves. Yet some people feel qualified to judge God, to apply their own rules to the Creator and decide whether he meets with their approval. To such people, God speaks as he spoke to Job: “Where were you when I created the world?”
Imagining a world with different rules for mathematics and geometry goes beyond our comprehension. Imagining a world with different rules for right and wrong goes beyond our imagination. God, at his essence, is love; for love flows among the Persons of the Father and the Son and the Holy Spirit. We are created in God’s image. The most important commandments God gave us are that we love him and that we love one another. God’s other commandments teach us how to love. Sometimes, what seems loving to us attacks others and harms others rather than truly loving them. God’s love sometimes is “tough love,” discouraging us from harmful behavior we might characterize as love and guiding us into true love for God and for one another.
But, because God is love, he also rescues us from the consequences of disobeying his rules. We cannot disobey some rules: we cannot defy gravity, and we cannot cause the relationship of the diagonal of a square to its side to become a rational number. In cases where we have broken God’s commandments telling us how to love, God rescues us from the consequences of our failure. Jesus, on the cross, bore the burden for our sins to reconcile us to God. Jesus defeated our enemies—even our own sins—and shares his victory with us. In a sense, God breaks the rules of justice, of power and authority, to establish grace and mercy and peace in our lives.
And he supports that message about his love and his grace by leaving in his creation other mysteries that defy reason and logic and the way we would do things—including quantum mechanics, including irrational numbers, and including the complex dance of the sun, the moon, and the planets. J.