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Curious result from an AI-to-AI dialogue: A "SAT Trap" at N=256 where Grover's SNR collapses.

/u/AlertLeader1086
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I’ve been experimenting with using LLMs to challenge the P vs NP problem through metaphorical lenses. By letting different AIs dialogue, they've built a simulation that identifies a 'SAT Trap'. I ran it at $N=256$: the SNR falls to 0.0452 and Entropy hits 176.8. According to the model's logic, this 'entropy wall' is where quantum speedup (Grover) gets lost in the noise of the clause space. https://x.com/SergeNATAF1/status/2009555935132574207 I'm not a complexity theorist, just the 'facilitator' of this AI experiment. Does this SNR/Entropy collapse at $N=256$ make sense to those familiar with SAT phase transitions? More on OSF: [https://osf.io/paqkb/overview] UPDATE: Since OSF is having server issues, you can access the full project (PDF + Python Code) here on Google Drive: [https://drive.google.com/drive/folders/1TdyL0q4lU7W-SvMSPMdeM418OU\_YrXP7?
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I’ve been experimenting with using LLMs to challenge the P vs NP problem through metaphorical lenses. By letting different AIs dialogue, they've built a simulation that identifies a 'SAT Trap'. I ran it at $N=256$: the SNR falls to 0.0452 and Entropy hits 176.8. According to the model's logic, this 'entropy wall' is where quantum speedup (Grover) gets lost in the noise of the clause space. https://x.com/SergeNATAF1/status/2009555935132574207 I'm not a complexity theorist, just the 'facilitator' of this AI experiment. Does this SNR/Entropy collapse at $N=256$ make sense to those familiar with SAT phase transitions? More on OSF: [https://osf.io/paqkb/overview] UPDATE: Since OSF is having server issues, you can access the full project (PDF + Python Code) here on Google Drive: [https://drive.google.com/drive/folders/1TdyL0q4lU7W-SvMSPMdeM418OU\_YrXP7?usp=drive\_link\] submitted by /u/AlertLeader1086 [link] [comments]

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