Carla tinkered for a while, and came up with one possibility.

The luxagen started in the lowest of three levels; it would have to be pushed there by an external light source. From there, it jumped spontaneously to a higher level, emitting an infrared photon. Then it moved to a higher level still, emitting an ultraviolet photon.
Both photons were reflected back, red-shifted by their encounter with the mirror. But if the mirror’s properties and the spacing of the energy levels were related in just the right manner, the reflected IR photon would be able to push the luxagen back to the lowest level: exactly where it had started.
And then the cycle could begin again.
In each cycle, two photons were created and one was never recaptured. To balance that photon’s true energy, the clearstone and the mirrorstone would need to gain conventional energy; in principle, any mixture of kinetic, thermal and potential energy would do. But to balance the photon’s
Carla paused, amused by her absurd conclusion, wondering where the mistake lay. As things stood, the photons wouldn’t really be produced all conveniently heading in the same direction, so the device would certainly need some refinements. Perhaps she could merge the recoiling mirror trick with her original design for a coherent source. But
It would not violate the conservation of energy or momentum. It would not violate any thermodynamic law: creating photons and waste heat amounted to an increase in entropy. But a photon rocket based on this design could run on a tiny fraction of the sunstone needed by any conventional engine. If it worked, it would solve the fuel problem.
Carla moved slowly down the empty corridor, listening to the twang of the guide rope, waiting for the flaw she’d missed to reveal itself. When it finally hit her, she could buzz ruefully at her foolishness and drag herself back to bed.
Carla didn’t need to search for a clock to know that it was still early, but the only person in the mountain there’d be any point in waking was also the only one who’d understand why she couldn’t wait a few more bells to resolve this.
She reached the precinct easily enough, but she had to check the names on a dozen doors before she found the right one; she hadn’t paid a visit since Patrizia had started living apart from her co. Carla knocked tentatively, wondering belatedly if her behavior would appear completely deranged. But the door opened before she had a chance to change her mind and retreat.
“Good morning Carla.” Patrizia looked puzzled, but if she was annoyed at being woken she hid it well. “Come in, please!”
The apartment smelled of paper and fresh dye. There was a lamp burning in the front room, revealing walls stacked with books and tied bundles of notes. The gravity was very weak here, but Carla clung tightly to the guide rope.
“I won’t waste your time,” she said. “I’ve had a wild idea, and I need to hear your opinion.”
She described the basic principle of the mirror trick, then went on to explain how it might be used in a real device. When she’d finished speaking she braced herself for a barrage of objections, but Patrizia remained silent, gazing thoughtfully into the middle distance.
“So have I lost my mind?” Carla pressed her. She’d gently put Patrizia straight when the girl had fallen prey to her own kind of nonsense; it was time for Patrizia to return the favor.
“I don’t think so. Why would you even say that?”
“Because it can’t be this easy! The Eternal Flame—from a few mirrors and a slab of clearstone?”
Patrizia buzzed softly. “In the sagas, the Eternal Flame doesn’t
Carla felt no sense of reassurance. If Patrizia had found a glaring flaw in the plan that would have settled the matter, but the fact that the idea had survived her brief scrutiny proved nothing. “And no one else thought of this? Not Yalda? Not Sabino? Not Nereo?”
“They all thought energy was continuous!” Patrizia protested. “Would this scheme work at all, without discrete energy levels?”
“I don’t know,” Carla admitted. Certainly the whole idea was easier to grasp when the luxagen could cycle repeatedly between a few fixed states.
“I think Yalda had hopes that we’d master the creation of light by studying plants,” Patrizia said. “And maybe that will give us the best insights into the process, eventually. But someone had to be the first to spell out the kind of steps that would make this possible. You’re the first, Carla. You’re not losing your mind, I promise you.”
“Thank you.” Carla did trust her to give an honest opinion, and not to indulge in flattery. “But I won’t believe I’m right until we’ve proved it.”
“So where do we begin?” Patrizia asked. “We’ll need to find varieties of clearstone with the right energy levels, but we’ll also need to calibrate mirrors for their red shifts.”
“This is going to be a whole new project,” Carla said. “I’ll have to go to the Council to get their approval for the change of plans.”
“Hmm.” Patrizia was impatient to get started. “Surely I can reanalyse a few absorption spectra without waiting for the Council? When Romolo and I went through them the last time, we were looking for very different properties.”
“That’s true.” The search for the perfect clearstone would start all over again, and there was a chance that once again it would succeed. But even the navigators’ modest needs would require the entire inventory of the clearstone Romolo had used in his visible light source. For this new application—
“It won’t be enough,” Carla realized. “Even if we can make this work in a demonstration rocket, there isn’t the slightest chance that we’ll have enough material to replace the engines.” The mountain’s stocks of exotically tinted minerals weren’t miserly, but the ancestors had only intended them to provide representative samples to be studied for the sake of materials science. They had never anticipated the possibility that one particular variety would become more valuable than sunstone.
Carla buzzed with grim satisfaction, glad that she’d caught her own mistake before making a fool of herself in front of the Council. “What was I thinking? Anything less than a full replacement for the engines would be worthless. If we can’t accelerate the
