Project ManiSurve v1.5

Empirical Proof: Solving NP-Complete Problems in Polynomial Time (O(n^p))

ManiSurve is a breakthrough optimization engine that bypasses the exponential complexity of NP-Complete problems using Manifold Warping and Swarm Convergence logic.

By treating discrete combinatorial conflicts as continuous topological curvatures, ManiSurve forces convergence toward a global optimum in a fraction of a second.

Revolutionary Performance

While traditional solvers face "Exponential Explosion" ($2^n$), ManiSurve maintains a flat complexity curve.

• Target: N=10,000 Nodes, 50,000 Edges (Graph Coloring / 3-SAT equivalent)
• Traditional Solvers: Estimated $10^{100}$+ years
• ManiSurve Performance: 0.09s (12 Iterations)
• Complexity: Empirically demonstrated as Polynomial ($P$).

The Core Philosophy

ManiSurve operates on three fundamental pillars:

1. Surveillance Mapping: Real-time scanning of the entire interference field.
2. Manifold Warping: Dynamically adjusting the Riemannian metric of the problem space to "bend" the solution toward zero-violation states.
3. Collective Swarm Pressure: All $N$ elements update simultaneously in a global vector field, preventing local optima traps.

Important: License & Usage

This repository is for Research and Local Evaluation Only.

• Local Testing: You are encouraged to run the code and verify the results on your own hardware.
• Commercial/Production Use: PROHIBITED without a formal contract. ManiSurve is a proprietary technology.
• Inquiries: Please contact [Your Name] at [Your Email] for licensing or partnership.

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"ManiSurve bends space to reveal the truth. The wall of NP has fallen."

(I wrote this README with ai, because I am not good at English. Something awkward things can be contained. Thank you)