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`).
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
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.
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