The Book
Mr. Young,
We emailed each other during 2014 and 2015. I sent you spreadsheets of what I thot was going on in Replacement Theory. I've recently re-read your core articles. This time I took you at your word that time snaps back and that erased time travelers disappear. So I charted that again. I almost had it in 2014. But the difference is that now I charted the erased time travelers disappearing on the snap. RT makes a lot more sense now! It will take me some time to think about how multiple travelers would be charted.
I've attached spreadsheets 
in Excel97 and LibreOffice6 formats and pictures in gif, jpg, and png formats. You have my permission to use them on your sites.
I realized that Infinity Loops are just a special case of Sawtooth Snaps. The endlessly repeated teeth are just folded onto each other. The article mentioning the alternation of hamburger or pizza for lunch was illuminating.
I hope that your heart issues are better. Links to books that might help:
Left for Dead - cayenne pepper Dick Quinn
Wayne Green's Secret Guide to Health
Jeff Gallagher
Jeff--
Thank you for your note. I apologize that I don't recall much of our previous conversation (although I recognize the screen name). Also, I am not completely certain what the diagrams are illustrating (and I apologize to the readers, as I had to reduce the size by half for it to appear on the page, and that reduced the clarity significantly). However, I think you're grasping the theory, and that's good.
You suggest that there are complications when there are multiple time travelers, and of course there are, but the issues are not exactly simple. The first question, though, is what you mean by this, and there are six possibilities that come to me:
The first situation is not really an issue, as whether we have a time traveler or a hundred time travelers, we have only one time travel event, only one anomaly. We have an exponentially greater chance of disaster (as one traveler might undo the existence not of himself but of one of his companions), but we handle it the same way.
I consider the second to be improbable beyond reckoning, such that I don't think it could ever happen.
The third is not an issue; we have one anomaly which obviously must have resolved into an N-jump, and then later we have another anomaly which does not interfere with the first.
That leaves the fourth, which we could call nested anomalies, and the fifth and sixth, overlapping anomalies, to be addressed.
There are two distinct ways to get nested anomalies, and they look very different.
For the first way, let us envision Traveler 1 leaving from 2020 to 2010. It doesn't matter what he does, as long as our consequence is ultimately an N-jump. If it's not--if time does not resolve--then the second event can never happen. So we assume that history stabilizes. Then in 2030 Traveler 2 leaves for 2000. He has created a CD timeline; there is an anomaly in his AB timeline. Assuming that Traveler 2's trip was in no way influenced by Traveler 1's trip, it does not matter whether Traveler 1 makes the same trip in Traveler 2's CD timeline, as long as Traveler 2 will still be the same person making the same trip from his point D with the same goals. Thus the outer anomaly can have a contained anomaly on just the AB side or on both sides.
For the second way, Traveler 1 leaves from 2030 to 2000 creating an original history in which there was no contained anomaly. Something Traveler 1 does induces Traveler 2 to travel from 2020 to 2010, creating a contained anomaly on the CD side that was not on the AB side. If that does not resolve to an N-jump we have an extremely complicated situation, because it means that Traveler 1 can never leave from point D and never arrive at point C, but we can't even address that because Traveler 2 is stuck in the internal loop preventing time from moving beyond 2020. Hopefully, though, that anomaly will resolve, and so we have the outer anomaly which has an inner anomaly only on the CD side. If that outer anomaly resolves, history will have two N-jumps, one inside the other.
I have oversimplified overlapping anomalies, but they're about to get complicated. In the first case, Traveler 1 went from 2020 to 2000, and created an N-jump (again because otherwise Traveler 2 never has the chance to depart). Then in 2030 Traveler 2 leaves for 2010. He cannot travel to the AB side of the original anomaly, because it is an erased history, so he lands in the middle of the CD side. He is now altering the history of that anomaly, and runs the risk of destabilizing it such that it does not resolve into an N-jump, crashing us into an infinity loop. Again in so doing he undoes his own trip to the past, but we never get that far because we're stuck at 2020.
More complicated, we might suppose that Traveler 1 left from 2030 to 2010, creating the CD history, but then in 2020 Traveler 2 left for 2000. In so doing, Traveler 2 has altered the history of both sides of the N-jump. He might undo the original anomaly, but then faces the problem that the version of him who traveled to the past did so from the CD timeline which no longer exists, so he cannot have arrived in the past. Our best hope is that he creates a complex N-jump by not changing anything that would impact either side of the original anomaly.
I hope this helps.
