Dimensionality Decrease Heuristics for NP Complete Problems

TL;DR

This paper introduces a novel concept of dimensionality aimed at developing more efficient heuristics for solving NP-complete problems, potentially expanding the scope of tractable problems.

Contribution

It presents a new dimensionality framework that could lead to improved heuristics for NP-complete problems, challenging traditional views on computational hardness.

Findings

Proposes a new dimensionality concept related to strain energy.

Suggests heuristics based on this concept may solve NP-complete problems more efficiently.

Broadens the potential for tractable problem classes.

Abstract

The vast majority of scientific community believes that P!=NP, with countless supporting arguments. The number of people who believe otherwise probably amounts to as few as those opposing the 2nd Law of Thermodynamics. But isn't nature elegant enough, not to resource to brute-force search? In this article, a novel concept of dimensionality is presented, which may lead to a more efficient class of heuristic implementations to solve NP complete problems. Thus, broadening the universe of man-machine tractable problems. Dimensionality, as defined here, will be a closer analog of strain energy in nature.