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2025/09/18

Dual UNNS Matrix Engine

UNNS: The Future of Algorithm Optimization

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  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.

UNNS Axioms Ladder

Constants Flow Through Nested Structures

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UNNS

Universal Nested Number Substrate/ Unbounded Nested Number Sequences

Core Philosophy

Set theory asks: "What can be contained?"
UNNS asks: "What can propagate?"
Together, they frame structure and resonance: skeleton and soul.

8
Foundational Axioms
From recurrence to undecidability
4
Progressive Levels
Structure → Algebra → Dynamics → Integration
Dynamic Visualizations
Living mathematics in motion

Experience the Complete Axiom Ladder

Explore how mathematical constants flow through nested structures,
witnessing the emergence of complexity from simple recurrence relations.

🚀 Launch Interactive Visualization

What You'll Discover:

  • Dynamic Constants Dashboard tracking 8 fundamental UNNS constants
  • Real-time animations: recurrence loops, convergence spirals, propagation dynamics
  • UPI (Universal Paradox Index) gauge with threshold detection
  • Ascending lattice towers with orbiting mathematical constants (π, e, φ, G)
  • Interactive controls: climb ladder, trigger paradox events, add emergent patterns

UNNS: Where Mathematics Comes Alive

A new paradigm for understanding propagation through nested structures