Semiclassical Gravity Offers Unexpected Shortcut to NP-Complete Solutions

This theoretical research proposes that semiclassical gravity—where gravity remains classical while coupling to quantum fields through Einstein's equations—could solve NP-complete problems in polynomial time, a computational feat thought impossible by modern theory. The finding directly challenges the Physical Extended Church-Turing Thesis, a foundational principle asserting that no physical system can exceed conventional computational limits, suggesting that gravity quantization may be necessary to prevent such paradoxes. The work bridges fundamental physics and complexity theory, potentially reshaping our understanding of the universe's intrinsic computational architecture.