A Generic Low-Level Solver for NP-Hard Instances (N=63) on Commodity 64-Bit Silicon Breaking the Tractability Barrier:

Critical consideration before reading this work. I am a native Spanish speaker. I used LLM (Large lenguaje Model) strictly for academic translation and formatting to ensure these results reached the community quickly, while I perfect my academic English. The logic, the code, and the discovery are 100% human and original. Description This work validates a generic Silicon-Native Architecture designed to solve NP-Hard optimization (Hamiltonian Path) in sub-second time. The system treats the CPU not as a software host, but as a pool of raw logic gates, utilizing strictly bitwise operations and physical entropy. Key Achievements: Speed: Solved N=63 (Search space \approx 10^{87}) in 0.116 seconds on a standard mobile processor. Mechanism: Exploits hardware race conditions, capacitive noise, and L1 Cache jitter to break local minima, effectively using the silicon's physical imperfections as a computational resource. Portability: The logic is Pure C / C-Style C++, requiring Zero RAM allocation. It is deployable on bare-metal microcontrollers, embedded systems, and DSPs with limited memory. Feedback and independent verification are welcome. Thank you. [email protected] If you have any dubt, don't dubt to contact me.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-02-13
DOI
https://doi.org/10.5281/zenodo.18630390
Primary Topic
Parallel Computing and Optimization Techniques
Type
article
Field-Weighted Citation Impact
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article

A Generic Low-Level Solver for NP-Hard Instances (N=63) on Commodity 64-Bit Silicon Breaking the Tractability Barrier:

Andrés Sebastián Pirolo
Zenodo (CERN European Organization for Nuclear Research)
Parallel Computing and Optimization Techniques
article

A Generic Low-Level Solver for NP-Hard Instances (N=63) on Commodity 64-Bit Silicon Breaking the Tractability Barrier:

Andrés Sebastián Pirolo
article en

Abstract

Critical consideration before reading this work. I am a native Spanish speaker. I used LLM (Large lenguaje Model) strictly for academic translation and formatting to ensure these results reached the community quickly, while I perfect my academic English. The logic, the code, and the discovery are 100% human and original. Description This work validates a generic Silicon-Native Architecture designed to solve NP-Hard optimization (Hamiltonian Path) in sub-second time. The system treats the CPU not as a software host, but as a pool of raw logic gates, utilizing strictly bitwise operations and physical entropy. Key Achievements: Speed: Solved N=63 (Search space \approx 10^{87}) in 0.116 seconds on a standard mobile processor. Mechanism: Exploits hardware race conditions, capacitive noise, and L1 Cache jitter to break local minima, effectively using the silicon's physical imperfections as a computational resource. Portability: The logic is Pure C / C-Style C++, requiring Zero RAM allocation. It is deployable on bare-metal microcontrollers, embedded systems, and DSPs with limited memory. Feedback and independent verification are welcome. Thank you. [email protected] If you have any dubt, don't dubt to contact me.

Zenodo (CERN European Organization for Nuclear Research)
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Openalex Percentile: Top 71%
Parallel Computing and Optimization Techniques
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