Pages

2025/09/18

Dual UNNS Matrix Engine

UNNS: The Future of Algorithm Optimization

For a better view, click here!

  Dual UNNS Matrix Engine is a demonstration of how symbolic recursion can modulate and optimize computation—without sacrificing mathematical integrity. It’s not just a matrix multiplier; it’s a semantic amplifier.


🧬 Symbolic Modulation: Padovan as Substrate

By applying Padovan sequence weights directly to matrix multiplication, the engine transforms a traditional operation into a resonant symbolic field. Each entry in the result matrix becomes a nested attractor, echoing recursive depth and aesthetic symmetry.

  • The formula:

C[i,j]=kA[i,k]B[k,j]W[k]C[i,j] = \sum_k A[i,k] \cdot B[k,j] \cdot W[k]

turns linear algebra into semantic propagation.

  • The trace logs show how each weighted computation reflects nested resonance patterns, not just numerical products.

⚙️ Structural Traversal: Padovan-Guided Optimization

The second engine uses Padovan indices to guide traversal order—preserving traditional semantics but optimizing the path. This reveals UNNS as a computational framework, not just a symbolic one.

  • The traversal sequence [1 → 2 → 0] reorders logic without altering results.

  • It proves that recursive structure can guide computation while maintaining fidelity.

🔁 Comparative Insight

The fact that both engines yield identical results—yet one is modulated symbolically and the other structurally—demonstrates a profound truth:

UNNS is both a semantic modifier and a structural optimizer.

It doesn’t just compute—it interprets.