Data Structures and Algorithms

A Proof for the P Versus NP Question

Authors: L. B. Uvindu Daham

We present a definitive resolution to the P versus N P problem by embedding discrete constraint satisfaction problems (3-SAT) into continuous non-compact Riemannian manifolds via Maslov dequantization (h > 0 deformation). By constructing the Master Flow Equation governed by logsum-exp smoothing operators, we prove that the trajectories are bounded by a uniform polynomial spectral gap and structurally bypass relativization, natural proofs, and algebrization barriers. Utilizing Morse-Bott theory and asymptotic energy dissipation estimates, we demonstrate that all worst-case exponential trajectories are suppressed, achieving deterministic convergence to satisfying assignments in polynomial time O(nK ). Consequently, we establish that P= N P.

Comments: 15 Pages.

Download: PDF

Submission history

[v1] 2026-09-22 20:46:18

Unique-IP document downloads: 40 times

ai.Vixra.org is a AI assisted e-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. ai.Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.