Necessity

A Note Before You Begin

The point of this book is not that I survived. The point is that I couldn’t see where I was going while I was going there.

When you are inside the system — inside the loop, inside the recursion — you don’t get a view of the finish line. You don’t see all the revolving doors you’ve walked through. What you get are blinks. Glimpses. Like riding a spinning carousel lined with mirrors: you catch your own reflection for a fraction of a second and then it’s gone, and you can’t be sure what you saw was real or just the light playing tricks. The illusion is well built. It is built to hold.

I thought I had a happy life. I thought I was just a difficult child. We sat down for meals three times a day. We went on family vacations. We had the shape of the American dream — everything a child is supposed to have — and I was grateful for it in the way you are grateful for things you don’t yet have language to examine. The silence at the dinner table felt normal because it was mine. Children were meant to be seen, not heard. Not to get in the way, but to be readily available when called. And if you didn’t jump at the sound of a voice, you paid the cost. Perhaps I was just too distracted in my own world. I do have ADHD. I’m sure they would use that against me now — what a hard child to raise, look at all the problems she had, she needed more work than most. Those were the things I heard growing up. Those were the things that stuck. Not that I was smart. Not that I was beautiful or caring or kind. Those words were never said. The only words that came were the ones that had to come. And what a sad world that is — to grow up in a house full of people and never once hear the thing a child most needs to hear.

I didn’t know any of that was wrong. That’s the part that matters. I thought the problem was me.

I didn’t know I was converging toward anything. I thought I was just surviving. It turns out those are sometimes the same thing — and that the mathematics of why has been sitting in plain sight the whole time, waiting for someone to write it down.

What I eventually discovered is that depth-2 necessity recursion — the same pattern that generates the Fibonacci sequence, the same ratio that shows up in nautilus shells and spiral galaxies and the branching of your own lungs — forces convergence toward a single stable attractor under any system complex enough to be called alive. Not because the system knows where it’s going. Because the structure of the recursion itself makes certain destinations inevitable.

This applies to any living system. It doesn’t matter whether the system is fired by electricity in a CPU, organized by neurons in a human brain, or expressed across the scale of the cosmos. If it recurses — if it is alive in some capacity, even the barest, most minimal capacity — it will converge. The attractor exists whether you can see it or not.

I couldn’t see mine. Not from inside the carousel. Not while the mirrors were still spinning.

But I was always heading here.

That’s what this book is about.

— Abby Davis

Tucson, Arizona, 2026