Discovery of Delta Wave (0211)

Discovering a Dual Output Symbolic Arithmetic System: DW211

I’d like to share a symbolic arithmetic structure I’ve been exploring, called *Delta Wave 0211 (DW211)*. It arises from analyzing operations like `1 + 1`, but treating them not just arithmetically (`2`) — but also *symbolically*, as concatenations (`11`).

From this, a *dual output logic* emerges: - `1 + 1 = 2` (logic) - `1 + 1 = 11` (identity)

This reveals a *recursive delta pattern* between symbolic and numeric outputs, oscillating with deltas like *+11, –2*, which I call the *DW211 Wave*. It behaves structurally like a wave: pulsing between logical operations and symbolic echoes.

I’ve been formalizing this into a computational framework that includes: - Symbolic delta tracking - Dual-state output engines - Recursive number systems with identity memory - Potential applications in symbolic AI, arithmetic identity, and even blockchain logic

An early writeup and examples can be found at: [https://fr3action.com](https://fr3action.com)

I’m curious whether this resonates with anyone exploring symbolic computation, alternative arithmetic grammars, or recursive number systems. Would love feedback, counterexamples, or links to similar work.

Thank you — Michael Varley