Cascade Point and Other Stories Part 33

I didn't see any more of Lanton that day, though I heard later that he and Bradley had mingled with the pa.s.sengers as they always did, Lanton behaving as if nothing at all had happened. Though I knew my crew wasn't likely to go around blabbing about Lanton's Ming-metal blunder, I issued an order anyway to keep the whole matter quiet. It wasn't to save Lanton any embarra.s.sment-that much I was certain of-but beyond that my motives became uncomfortably fuzzy. I finally decided I was doing it for Alana, to keep her from having to explain to Bradley what an idiot his therapist was.

The next point, six days later, went flawlessly, and life aboard s.h.i.+p finally settled into the usual deep-s.p.a.ce routine. Alana, Pascal, and I each took eight-hour s.h.i.+fts on the bridge; Matope, Tobbar, and Sarojis did the same back in the engine room; and Kate Epstein, Leeds, and Wilkinson took turns catering to the occasional whims of our pa.s.sengers. Off duty, most of the crewers also made an effort to spend at least a little time in the pa.s.senger lounge, recognizing the need to be friendly in the part of our business that was mainly word of mouth. Since that first night, though, the exaggerated interest in Bradley the Mental Patient had pretty well evaporated, leaving him as just another pa.s.senger in nearly everyone's eyes.

The exception, of course, was Alana.

In some ways, watching her during those weeks was roughly akin to watching a baby bird hacking its way out of its sh.e.l.l. Alana's bridge s.h.i.+ft followed mine, and I was often more or less forced to hang around for an hour or so listening to her talk about her day. Forced is perhaps the wrong word; obviously, no one was nailing me to my chair. And yet, in another sense, I really did have no choice. To the best of my knowledge, I was Alana's only real confidant aboard the Dancer, and to have refused to listen would have deprived her of her only verbal sounding board. And the more I listened, the more I realized how vital my partic.i.p.ation really was... because along with the usual rolls, pitches, and yaws of every embryo relations.h.i.+p, this one had an extra complication: Bradley's personality was beginning to change.

Lanton had said he was on the verge of a breakthrough, but it had never occurred to me that he might be able to begin genuine treatment aboard s.h.i.+p, let alone that any of its effects would show up en route. But even to me, who saw Bradley for maybe ten minutes at a time three times a week, the changes were obvious. All the conflicting signals in posture and expression that had bothered me so much at our first meeting diminished steadily until they were virtually gone, showing up only on brief occasions. At the same time, his self-confidence began to increase, and a heretofore unnoticed-by me, at least-sense of humor began to manifest itself. The latter effect bothered me, until Alana explained that a proper sense of humor required both a sense of dignity and an ability to take oneself less than seriously, neither of which Bradley had ever had before. I was duly pleased for her at the progress this showed; privately, I sought out Lanton to find out exactly what he was doing to his patient and the possible hazards thereof. The interview was easy to obtain-Bradley was soloing quite a bit these days-but relatively uninformative. Lanton tossed around a lot of stuff about synaptic fixing and duplicate messenger chemistry, but with visions of a n.o.bel Prize almost visibly orbiting his head he was in no mood to worry about dangerous side effects.

He a.s.sured me that nothing he was using was in the slightest way experimental, and that I should go back to flying the Dancer and let him worry about Bradley. Or words to that effect.

I really was happy for Bradley, of course, but the fact remained that his rapid improvement was playing havoc with Alana's feelings. After years away from the wing-mending business she felt herself painfully rusty at it; and as Bradley continued to get better despite that, she began to wonder out loud whether she was doing any good, and if not, what right she had to continue hanging around him. At first I thought this was just an effort to hide the growth of other feelings from me, but gradually I began to realize that she was as confused as she sounded about what was happening. Never before in her life, I gathered, had romantic feelings come to her without the framework of a broken-wing operation to both build on and help disguise, and with that scaffolding falling apart around her she was either unable or unwilling to admit to herself what was really going on.

I felt pretty rotten having to sit around watching her flounder, but until she was able to recognize for herself what was happening there wasn't much I could do except listen. I wasn't about to offer any suggestions, especially since I didn't believe in love at first sight in the first place. My only consolation was that Bradley and Lanton were riding round trip with us, which meant that Alana wouldn't have to deal with any sort of separation crisis until we were back on Earth. I'd never had much sympathy for people who expected time to solve all their problems for them, but in this case I couldn't think of anything better to do.

And so matters stood as we went through our eighth and final point and emerged barely eight hundred thousand kilometers from the thriving colony world Taimyr... and found it deserted.- "Still nothing," Alana said tightly, her voice reflecting both the remnants of cascade depression and the shock of our impossible discovery. "No response to our call; nothing on any frequency I can pick up. I can't even find the comm satellites'

lock signal."

I nodded, my eyes on the scope screen as the Dancer's telescope slowly scanned Taimyr's dark side. No lights showed anywhere. s.h.i.+fting the aim, I began searching for the nine comm and nav satellites that should be circling the planet.

"Alana, call up the astrogate again and find out what it's giving as position uncertainty."

"If you're thinking we're in the wrong system, forget it," she said as she tapped keys.

"Just cheeking all possibilities," I muttered. The satellites, too, were gone. I leaned back in my seat and bit at my lip.

"Yeah. Well, from eighteen positively identified stars we've got an error of no more than half a light-hour." She swiveled to face me and I saw the fear starting to grow behind her eyes. "Pall, what is going on here? Two hundred million people can't just disappear without a trace."

I shrugged helplessly. "A nuclear war could do it, I suppose, and might account for the satellites being gone as well. But there's no reason why anyone on Taimyr should have any nuclear weapons." Leaning forward again, I activated the helm. "A better view might help. If there's been some kind of war the major cities should now be big craters surrounded by rubble. I'm going to take us in and see what the day side looks like from high orbit."

"Do you think that's safe? I mean-" She hesitated. "Suppose the attack came from outside Taimyr?"

"What, you mean like an invasion?" I shook my head. "Even if there are alien intelligences somewhere who would want to invade us, we stand just as good a chance of getting away from orbit as we do from here."

"All right," she sighed. "But I'm setting up a cascade point maneuver, just in case. Do you think we should alert everybody yet?"

"Crewers, yes; pa.s.sengers, no. I don't want any silly questions until I'm ready to answer them."

We took our time approaching Taimyr, but caution turned out to be unnecessary. No s.h.i.+ps, human or otherwise, waited in orbit for us; no one hailed or shot at us; and as I turned the telescope planetward I saw no signs of warfare.

Nor did I see any cities, farmland, factories, or vehicles. It was as if Taimyr the colony had never existed.

"It doesn't make any sense," Matope said after I'd explained things over the crew intercom hookup. "How could a whole colony disappear?"

"I've looked up the records we've got on Taimyr," Pascal spoke up. "Some of the tropical vegetation is pretty fierce in the growth department. If everyone down there was killed by a plague or something, it's possible the plants have overgrown everything."

"Except that most of the cities are in temperate regions," I said shortly, "and two are smack in the middle of deserts. I can't find any of those, either."

"Hmm," Pascal said and fell silent, probably already hard at work on a new theory.

"Captain, you don't intend to land, do you?" Sarojis asked. "If launch facilities are gone and not merely covered over we'd be unable to lift again to orbit."

"I'm aware of that, and I have no intention of landing," I a.s.sured him. "But something's happened down there, and I'd like to get back to Earth with at least some idea of what."

"Maybe nothing's happened to the colony," Wilkinson said slowly. "Maybe something's happened to us."

"Such as?"

"Well... this may sound strange, but suppose we've somehow gone back in time, back to before the colony was started."

"That's crazy," Sarojis scoffed before I could say anything. "How could we possibly do something like that?"

"Malfunction of the field generator, maybe?" Wilkinson suggested. "There's a lot we don't know about Colloton s.p.a.ce."

"It doesn't send s.h.i.+ps back in-"

"All right, ease up," I told Sarojis. Beside me Alana snorted suddenly and reached for her keyboard. "I agree the idea sounds crazy, but whole cities don't just walk off, either," I continued. "It's not like there's a calendar we can look at out here, either. If we were a hundred years in the past, how would we know it?"

"Check the star positions," Matope offered.

"No good; the astrogate program would have noticed if anything was too far out of place. But I expect that still leaves us a possible century or more to rattle around in.""No, it doesn't." Alana turned back to me with a grimly satisfied look on her face. "I've just taken signals from three pulsars. Compensating for our distance from Earth gives the proper rates for all three."

"Any comments on that?" I asked, not expecting any. Pulsar signals occasionally break their normal pattern and suddenly increase their pulse frequency, but it was unlikely to have happened in three of the beasts simultaneously; and in the absence of such a glitch the steady decrease in frequency was as good a calendar as we could expect to find.

There was a short pause; then Tobbar spoke up. "Captain, I think maybe it's time to bring the pa.s.sengers in on this. We can't hide the fact that we're in Taimyr system, so they're bound to figure out sooner or later that something's wrong. And I think they'll be more cooperative if we volunteer the information rather than making them demand it."

"What do we need their cooperation for?" Sarojis snorted.

"If you bothered to listen as much as you talked," Tobbar returned, a bit tartly, "you'd know that Chuck Raines is an advanced student in astrophysics and Dr.

Chileogu has done a fair amount of work on Colloton field mathematics. I'd say chances are good that we're going to need help from one or both of them before this is all over."

I looked at Alana, raised my eyebrows questioningly. She hesitated, then nodded. "All right," I said. "Matope, you'll stay on duty down there; Alana will be in command here. Everyone else will a.s.semble in the dining room. The meeting will begin in ten minutes."

I waited for their acknowledgments and then flipped off the intercom. "I'd like to be there," Alana said.

"I know," I said, raising my palms helplessly. "But I have to be there, and someone's got to keep an eye on things outside."

"Pascal or Sarojis could do it."

"True-and under normal circ.u.mstances I'd let them. But we're facing an unknown and potentially dangerous situation, and I need someone here whose judgment I trust."

She took a deep breath, exhaled loudly. "Yeah. Well... at least let me listen in by intercom, okay?"

"I'd planned to," I nodded. Reaching over, I touched her shoulder. "Don't worry; Bradley can handle the news."

"I know," she said, with a vehemence that told me she wasn't anywhere near that certain.Sighing, I flipped the PA switch and made the announcement.

They took the news considerably better than I'd expected them to-possibly, I suspected, because the emotional kick hadn't hit them yet.

"But this is absolutely unbelievable, Captain Durriken," Lissa Steadman said when I'd finished. She was a rising young business-administration type who I half- expected to call for a committee to study the problem. "How could a whole colony simply vanish?"

"My question exactly," I told her. "We don't know yet, but we're going to try and find out before we head back to Earth."

"We're just going to leave?" Mr. Eklund asked timidly from the far end of the table. His hand, on top of the table, gripped his wife's tightly, and I belatedly remembered they'd been going to Taimyr to see a daughter who'd emigrated some thirty years earlier. Of all aboard, they had lost the most when the colony vanished.

"I'm sorry," I told him, "but there's no way we could land and take off again, not if we want to make Earth again on the fuel we have left."

Eklund nodded silently. Beside them, Chuck Raines cleared his throat. "Has anybody considered the possibility that we're the ones something has happened to?

After all, it's the Aura Dancer, not Taimyr, that's been dipping in and out of normal s.p.a.ce for the last six weeks. Maybe during all that activity something went wrong."

"The floor is open for suggestions," I said.

"Well... I presume you've confirmed we are in the Taimyr system. Could we be-oh-out of phase or something with the real universe?"

"Highly poetic," Tobbar spoke up from his corner. "But what does out of phase physically mean in this case?"

"Something like a parallel universe, or maybe an alternate time line," Raines suggested. "Some replica of our universe where humans never colonized Taimyr.

After all, cascade images are supposed to be views of alternate universes, aren't they? Maybe cascade points are somehow where all the possible paths intersect."

"You've been reading too much science fiction," I told him. "Cascade images are at least partly psychological, and they certainly have no visible substance.

Besides, if you had to trace the proper path through a hundred universes every time you went through a cascade point, you'd lose ninety-nine s.h.i.+ps out of every hundred that tried it."

"Actually, Mr. Raines is not being all that far out," Dr. Chileogu put in quietly. "It's occasionally been speculated that the branch cuts and Riemann surfaces that show up in Colloton theory represent distinct universes. If so, it would be theoretically possible to cross between them." He smiled slightly. "But it's extremely unlikely that a responsible captain would put his s.h.i.+p through the sort of maneuver that would be necessary to do such a thing."

"What sort of maneuver would it take?" I asked.

"Basically, a large-angle rotation within the cascade point. Say, eight degrees or more."

I shook my head, feeling relieved and at the same time vaguely disappointed that a possible lead had evaporated. "Our largest angle was just under four point five degrees."

He shrugged. "As I said."

I glanced around the table, wondering what avenue to try next. But Wilkinson wasn't ready to abandon this one yet. "I don't understand what the s.h.i.+p's rotation has to do with it, Dr. Chileogu," he said. "I thought the farther you rotated, the farther you went in real s.p.a.ce, and that was all."

"Well... it would be easier if I could show you the curves involved. Basically, you're right about the distance-angle relation as long as you stay below that eight degrees I mentioned. But above that point there's a discontinuity, similar to what you get in the curve of the ordinary tangent function at ninety degrees; though unlike the tangent the next arm doesn't start at minus infinity." Chileogu glanced around the room, and I could see him revising the level of his explanation downward. "Anyway, the point is that the first arm of the curve-real rotations of zero to eight point six degrees-gives the complete range of translation distance from zero to infinity, and so that's all a star s.h.i.+p ever uses. If the s.h.i.+p rotates past that discontinuity, mathematical theory would say it had gone off the edge of the universe and started over again on a different Riemann surface. What that means physically I don't think anyone knows; but as Captain Durriken pointed out, all our real rotations have been well below the discontinuity."

Wilkinson nodded, apparently satisfied; but the term "real rotation" had now set off a warning bell deep in my own mind. It was an expression I hadn't heard- much less thought about-in years, but I vaguely remembered now that it had concealed a seven-liter can of worms. "Doctor, when you speak of a 'real' rotation, you're referring to a mathematical ent.i.ty, as opposed to an actual, physical one," I said slowly. "Correct?"

He shrugged. "Correct, but with a s.h.i.+p such as this one the two are for all practical purposes identical. The Aura Dancer is a long, perfectly symmetrical craft, with both the Colloton-field generator and Ming-metal cargo s.h.i.+eld along the center line. It's only when you start working with the fancier liners, with their towers and blister lounges and all, that you get a serious divergence."

I nodded carefully and looked around the room. Pascal had already gotten it, from the expression on his face; Wilkinson and Tobbar were starting to. "Could an extra piece of Ming metal, placed several meters off the s.h.i.+p's center line, cause such a divergence?" I asked Chileogu.

"Possibly." He frowned. "Very possibly."

I s.h.i.+fted my gaze to Lanton. His face had gone white. "I think," I said, "I've located the problem."

Seated at the main terminal in Pascal's cramped computer room, Chileogu turned the Ming-metal coil over in his hands and shook his head. "I'm sorry, Captain, but it simply can't be done. A dual crossover winding is one of the most complex shapes in existence, and there's no way I can calculate its effect with a computer this small."

I glanced over his head at Pascal and Lanton, the latter having tagged along after I cut short the meeting and hustled the mathematician down here. "Can't you even get us an estimate?" I asked.

"Certainly. But the estimate could be anywhere up to a factor of three off, which would be worse than useless to you."

I nodded, pursing my lips tightly. "Well, then, how about going on from here?

With that coil back in the s.h.i.+eld, the real and physical rotations coincide again. Is there some way we can get back to our universe; say, by taking a long step out from Taimyr and two short ones back?"

Chileogu pondered that one for a long minute. "I would say that it depends on how many universes we're actually dealing with," he said at last. "If there are just two-ours and this one-then rotating past any one discontinuity should do it. But if there are more than two, you'd wind up just going one deeper into the stack if you crossed the wrong line."

"Ouch," Pascal murmured. "And if there are an infinite number, I presume, we'd never get back out?"

The mathematician shrugged uncomfortably. "Very likely."

"But don't the mathematics show how many universes there are?" Lanton spoke up.

"They show how many Riemann surfaces there are," Chileogu corrected. "But physical reality is never obliged to correspond with our theories and constructs.

Experimental checks are always required, and to the best of my knowledge no one has ever tried this one."

I thought of all the s.h.i.+ps that had simply disappeared, and s.h.i.+vered slightly.

"In other words, trying to find the Taimyr colony is out. All right, then. What about the principle of reversibility? Will that let us go back the way we came?""Back to Earth?" Chileogu hesitated. "Ye-e-s, I think that would apply here.

But to go back don't you need to know...?"

"The real rotations we used to get here," I nodded heavily. "Yeah." We looked at each other, and I saw that he, too, recognized the implications of that requirement.

Lanton, though, was still light-years behind us. "You act like there's still a problem," he said, looking back and forth between us. "Don't you have records of the rotations we made at each point?"

I was suddenly tired of the psychiatrist. "Pascal, would you explain things to Dr. Lanton-on your way back to the pa.s.senger area?"

"Sure." Pascal stepped to Lanton's side and took his arm. "This way, Doctor."

"But-" Lanton's protests were cut off by the closing door.

I sat down carefully on a corner of the console, staring back at the Korusyn 630 that took up most of the room's s.p.a.ce. "I take it," Chileogu said quietly, "that you can't get the return-trip parameters?"

"We can get all but the last two points we'd need," I told him. "The s.h.i.+p's basic configuration was normal for all of those, and the Korusyn there can handle them." I shook my head. "But even for those the parameters will be totally different-a two-degree rotation one way might become a one or three on the return trip. It depends on our relation to the galactic magnetic field and angular momentum vectors, closest-approach distance to large ma.s.ses, and a half-dozen other parameters. Even if we had a mathematical expression for the influence Lanton's d.a.m.n coil had on our first two points, I wouldn't know how to reprogram the machine to take that into account."

Chileogu was silent for a moment. Then, straightening up in his seat, he flexed his fingers. "Well, I suppose we have to start somewhere. Can you clear me a section of memory?"

"Easily. What are you going to do?"

He picked up the coil again. "I can't do a complete calculation, but there are several approximation methods that occasionally work pretty well; they're scattered throughout my technical tapes if your library doesn't have a list. If they give widely varying results-as they probably will, I'm afraid-then we're back where we started. But if they happen to show a close agreement, we can probably use the result with reasonable confidence." He smiled slightly. "Then we get to worry about programming it in."