Data Structures and Algorithms

Electromagnetic Field Computation and the P vs NP Problem: A Physical Approach to Computational Complexity

Authors: John W. Hixon Jr
Comments: 26 Pages.

We propose that the P vs NP problem, traditionally viewed as a purely mathematical question about computational complexity, may be resolved through physical electromagnetic field computation. We present a theoretical framework suggesting that certain NP complete problems can be solved in polynomial time using analog electromagnetic field processors that leverage quantum field effects and massive parallel processing inherent in electromagnetic field interactions. This approach distinguishes between abstract computational models (where P ≠ NP may hold) and physical computation systems (where P = NP may be achievable). We provide detailed experimental protocols for testing this hypothesis using high-power electromagnetic field generators and demonstrate how such systems could solve representative NP problemsefficiently.
Category: Data Structures and Algorithms