The Hybrid Piecewise Heuristic Equation (HPHE) and the P vs NP Problem.

This paper introduces the Hybrid Piecewise Heuristic Equation (HPHE) framework, establishing a mathematical bridge between P and NP. We provide a formal proof of C^1 continuity and present empirical evidence from the 'Evil 50' benchmark tests demonstrating the collapse of NP-complete transition points.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-01-14
DOI
https://doi.org/10.5281/zenodo.18238549
Primary Topic
Advanced Optimization Algorithms Research
Type
article
Field-Weighted Citation Impact
0.00
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article

The Hybrid Piecewise Heuristic Equation (HPHE) and the P vs NP Problem.

Ricky Cespedes
Zenodo (CERN European Organization for Nuclear Research)
Advanced Optimization Algorithms Research
article

The Hybrid Piecewise Heuristic Equation (HPHE) and the P vs NP Problem.

Ricky Cespedes
article en

Abstract

This paper introduces the Hybrid Piecewise Heuristic Equation (HPHE) framework, establishing a mathematical bridge between P and NP. We provide a formal proof of C^1 continuity and present empirical evidence from the 'Evil 50' benchmark tests demonstrating the collapse of NP-complete transition points.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 85%
Advanced Optimization Algorithms Research
DOIOpen Access PDFOpenAlex
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The Hybrid Piecewise Heuristic Equation (HPHE) and the P vs NP Problem. — Ricky Cespedes · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS