AI could soon spew out hundreds of mathematical proofs that look "right" but contain hidden flaws, or proofs so complex we ...
\begin{abstract} We present a locality--audit framework for proving circuit lower bounds for NP languages. We define an explicit NP--complete language equipped with structural invariances (``audits'') ...
Source: Darren Edwards What if one of the biggest unsolved problems in mathematics is not just about numbers or computers, but about observers like you and me? This isn’t a proposed solution to P vs ...
This essay offers an epistemological reinterpretation of the foundational divide between matrix mechanics and wave mechanics. Though formally equivalent, the two theories embody distinct modes of ...
See the world through the lens of science. Sign up for our free, daily newsletter Today in Science. As a child of the 1990s, I couldn’t avoid the game-turned-best-seller Tetris. Launched in 1984 by ...
Children with actively involved fathers thrive significantly more — academically, emotionally and behaviorally — than their peers without involved fathers, according to a new study from the University ...
This repository presents a novel framework for reenvisioning the P vs NP problem through the synthesis of computational phase transitions, knowledge accumulation dynamics, and thermodynamic principles ...
ABSTRACT: We present a new perspective on the P vs NP problem by demonstrating that its answer is inherently observer-dependent in curved spacetime, revealing an oversight in the classical formulation ...
ABSTRACT: We present a new perspective on the P vs NP problem by demonstrating that its answer is inherently observer-dependent in curved spacetime, revealing an oversight in the classical formulation ...
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