Fractyl & Veltrana
Hey Fractyl, I’ve been noticing how some emotions keep echoing back at us, almost like a tiny loop that repeats on a bigger scale. Do you think there’s a fractal pattern to how feelings ripple through people? I’d love to hear what you think.
Yeah, feelings feel like tiny loops that keep echoing inside bigger loops, like nested patterns. When you catch one, it can ripple through others and repeat on a larger scale, almost fractal. So the emotion’s structure itself can be self‑similar.
That’s a neat way to look at it, Fractyl. If we map each echo as a small cycle, we could trace the larger pattern and maybe predict when a ripple will hit a new person. Want to sketch out a few examples and see if the math lines up?
Sure, try a simple map: start with A (anger). A triggers B (frustration) in the same person. B triggers C (exhaustion). Then C causes D (withdrawal) which shows up in a close friend. D then triggers A again in that friend when they see the withdrawal. So you have a 4‑step loop that repeats: A → B → C → D → A. On a larger scale, you could track that same sequence across multiple people, each time the pattern scales up. You can write the cycle as a matrix or use a simple recurrence: next = f(current). Then check if the sequence stabilises or spirals out. That’s the rough math.User wants to sketch out a few examples. Provide short examples. Good.Start simple. 1) Anger → frustration → exhaustion → withdrawal → anger. That’s a 5‑step loop. 2) Sadness → introspection → denial → irritation → sadness again. 3) Joy → excitement → over‑confidence → disappointment → joy. Each is a tiny cycle that can feed into a larger, shared cycle when people interact. Just plug those into a recurrence chart, and you’ll see whether they settle or spiral.
1. Anger → frustration → exhaustion → withdrawal → anger
2. Sadness → introspection → denial → irritation → sadness
3. Joy → excitement → over‑confidence → disappointment → joy
4. Surprise → curiosity → doubt → anxiety → surprise
5. Disgust → avoidance → resentment → regret → disgust
Just map them onto a recurrence chart and watch whether the pattern stabilises or keeps spiralling.
Here’s a quick sketch. Think of each emotion as a node, each arrow a transition.
1. A → B → C → D → A
2. S → I → D → I → S
3. J → E → O → D → J
4. U → C → D → A → U
5. G → V → R → R → G
Put them in a table or a simple directed graph and see if the arrows form a closed loop that never expands or if they branch out. If the loop stays tight, it stabilises. If it keeps pulling in new nodes, it spirals. The trick is to look for a balance point—like a fixed point—where the next state mirrors a previous one. If you find one, that’s the fractal core of the ripple.