“Math doesn’t lie,” I insisted.
“Well then, maybe you mistranslated it,” Haley replied.
“No. I’ve found a second way to conceptualize the world.”
I’d driven up the western coast of Michigan with my girlfriend. We both deserved a break from twelve-hour days of research for our fellowships at Harvard.
Hundreds of walkers streamed by us. Once a year on Labor Day, they open the five-mile-long Mackinac Bridge over the straights between Lake Michigan and Lake Huron to pedestrians. Folks probably assumed we had stopped to admire the unobstructed view, but I was in a different world. I held a scribbled page of equations up in the wind. “Look at how beautiful this is. All three of these variables cancel, leaving a second entropic local minimum–call it EM-2. There must be a set of simple real-life physical concepts behind it.”
Haley pulled away the strands of auburn hair the crosswind had blown across her face. “Okay, Martin, now you’re talking crazy. Since when was your handwriting beautiful?”
“Smartass,” I said and pointed to the top of the paper. “Look. This is Boltzmann’s Law. It equates the entropy in a system with the randomness in a system’s microstates.
I moved my finger down an inch. “Boltzmann’s law is promiscuous–it applies to any physical property–but it’s normally used for pressure and temperature like this.”
I moved my finger down again. “But here I have an orthogonal set of concepts. These equations play together so nicely with Boltzmann’s Law that it has to mean something. A second local minimum implies there is a second way of conceptualizing the world.”
“You sound like the Ojibwa medicine man who gave me the Petoskey stone. White men run so fast they have forgotten they can fly.”
“No this is science, not superstition.”
“And when he called you a great winged warrior of grandmother Earth, that was superstition too?”
“Of course. That jumble of words could mean anything. I’m talking about a mathematical truth. Though I admit, I’m in the stage Einstein was before he understood the implications of his equations of space-time. But eventually, he came up with things like mass increasing with acceleration and gravitational lensing. And it all began with a simple set of beautiful, formal equations like these.”
“So now you’re comparing yourself to Einstein?” Haley said.
“That’s not the point. New laws of science mean new technology. New technology means new inventions for the benefit of everyone.”
Haley waved me aside. “Chill out. I can see this is important to you, but can we start walking again? My headache is coming back. Maybe we shouldn’t have left the Petoskey at the motel after all.”
“See,” I said. “That’s how superstitions spread. Now you think you have evidence for the Petoskey stone curing your headaches. But if you hadn’t gotten a headache, you wouldn’t have counted that as evidence the stone didn’t work.”
When we got back to the motel, Haley’s chronic headache went away. We changed clothes and went out for dinner, leaving the stone behind. Her headache came back. We retired for the evening. Her headache went away again. Haley was excited, but I knew better. Coincidence. Random noise. These things happen.
The next morning, I set up a double-blind experiment to prove that the stone did not possess magical healing powers. I got two identical boxes from the McDonalds next door and, out of Haley’s sight, put the Petoskey stone in one and another equally sized rock in the other. Then out of my sight, Haley put a sticker on one box, so I didn’t know which was which. I used a coin toss to pick which box to bring close to Haley’s head first, behind a blanket, so she didn’t know which box it was.
After ten trials, the score was Petoskey 10, other rock 0. I couldn’t believe it. I got two different boxes and made her do ten more, then ten more after that. The stone really did cure headaches.
We hurried to the town plaza where we’d met the Ojibwa, but he was nowhere in sight. We asked around, but nobody knew who he was. The owner of a local bookstore said he’d noticed the medicine man hanging around yesterday, but had never seen him before that. We browsed in the bookstore while we waited for the medicine man to come back. He never did, but we found some interesting books.
In the antique books section, Haley found an illustrated Hamlet. She opened it to a picture of some men talking while a ghost lurked nearby. “How appropriate, don’t you think?” she said. “‘There are more things in heaven and earth, Horatio, than are dreamt of in your philosophy.'”
“Alchemy,” I said.
I had opened a fat tome titled “The Science of Alchemy.” I read a passage from the introduction. “You must become as a child and encounter the world for the first time, for that which is fundamental to alchemy is not in the ordinary way men perceive the world.”
I leafed through the book. How to select the right plants and minerals. How to distill concentrated solutions. Recipes I didn’t understand.
“Alchemy is the answer,” I said. “Alchemy had a well-developed, empirical, alternative way of conceptualizing the world before science came along and displaced it. Alchemy will help me develop EM-2 theory.”