Time-Step Ratio Theory: A Practical Framework Supporting P ≠ NP

This report introduces the Time-Step Ratio Theory, developed by 13-year-old Israel Ochimnai. It proposes that solving reasoning-based problems generally requires more time per step than checking the solution, suggesting a practical difference between P and NP. The theory is backed by real-world testing across 30 scenarios from medicine, hacking, and puzzles to satellite systems, supporting its validity in real-world logical applications.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-07-23
DOI
https://doi.org/10.5281/zenodo.16386502
Primary Topic
Logic, Reasoning, and Knowledge
Type
article
Field-Weighted Citation Impact
0.00
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article

Time-Step Ratio Theory: A Practical Framework Supporting P ≠ NP

Zenodo (CERN European Organization for Nuclear Research)
Logic, Reasoning, and Knowledge
article

Time-Step Ratio Theory: A Practical Framework Supporting P ≠ NP

article en

Abstract

This report introduces the Time-Step Ratio Theory, developed by 13-year-old Israel Ochimnai. It proposes that solving reasoning-based problems generally requires more time per step than checking the solution, suggesting a practical difference between P and NP. The theory is backed by real-world testing across 30 scenarios from medicine, hacking, and puzzles to satellite systems, supporting its validity in real-world logical applications.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 75%
Logic, Reasoning, and Knowledge
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Time-Step Ratio Theory: A Practical Framework Supporting P ≠ NP · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS