closer.”
“Excellent. The Ancients could do that without pathspace by using specially shaped pieces of matter to bend the pathspace for light. This is a convex lens. You can see how it can be used to magnify objects, to make them look closer.” He held it over the top of the cone and moved it toward the cone and away from it.
“But it can also be used to concentrate light to a focus.” he picked up the board and the tops fell off it onto the table. Holding up the board, he caught the light coming in the window on it. “Now watch,” he said, and held up the lens in the path of the light.
The sunbeam coming through the window, barely visible from small motes of dust in the air it was slicing through, went through the lens and the beam narrowed. The spot of light on the board became smaller but brighter. For a moment, he moved the lens so that the light on the board came to a single point. When he did this a tiny plume of smoke curled up from the point, then he moved the lens out of the beam.
“As you can see, the lens can take the energy in the light and focus it into a small region to burn things. On any decently sunny day you could use a lens like this to start a campfire.” The burned spot on the black square stopped smoking. “You will also have notices that when you focus the light this way, the bright spot is surrounded by a shadow where the light is less.
“The first thing I want you to work on,” he said, “is imagining the spin distribution in the space around the cone and then focus it on the cone, so there is less spin in the space around it and more spin in the cone.”
Lester tried again. From what Xander had said he decided it would be simpler if all of the spin was in the same direction. He imagined a cluster of spins around the cone, all pointing up, all with left-handed spin.
That part was hard enough. Now holding that picture in his mind, he tried to imagine redistributing the spin, seeing flowing radially inward, so that the space near and containing the cone got more than its share of spin while points further away lost some of theirs.
After concentrating on this for a minute the cone began to slowly turn on the left-handed spin direction.
“It worked!” he said. But in the instant that he let his concentration slip to formulate the thought, the cone stopped accelerating and settled down to a constant slow spin rate.
“Yes,” said Xander. “Well done. You have succeeded in your first spinspace manipulation. You have also discovered that concentration is key. In the beginning your work with spinspace , like your work with pathspace , will require all of your concentration to succeed. Later on, as you grow more adept at it, you will find it easer to do and it will take less of your attention.”
At this point Carolyn came back from her settling in. “What are you guys up to?”
“I was just rewarding Lester for finding you with an advanced lesson,” said Xander. “To repay me , he is now going to give you your first lesson in pathspace .”
“I am?”
“Yes, you are. Consider yourself promoted from student to assistant professor.”
Chapter 19
Nathan : falling
עבור אדם צדיק יפלו שבע פעמים
“a righteous man may fall seven times”
– Proverbs 24:16
The door to the study opened and the men in white robes came out and out their coats back on. Isaac was the last to emerge, and he had a look on his face that Nathan had never seen before.
Rebekah closed the font door. What is it, Isaac?”
Isaac looked like a man who is lost. “I have been asked to go to Denver,” he said, in tones that didn't believe it.
“What? But your life is here, with your family. How can they not know that?”
Isaac slumped onto a couch. “They know. But I have been asked to go anyway.”
Rebekah sat down next to him. “Husband, you have responsibilities.”
He just