DIFFERENTIAL LIMIT A NOVEL APPROACH

Differential Limit is a novel way in group algebra to explain various phenomenafrom artificial intelligence, NP-Complete, Reimann zeta function, Fermat’s theorem, Closed-form solutions, Numerical approximations, Neural networks for Universal Approximation,Neural Network activation functions, Recurrent Neural Networks and Generative ArtificialIntelligence like ChatGPT. This work lays the foundational group algebra for the differentiallimits and explains the various phenomena in its new framework. The significant resultsunder this framework are P, not equal NP, Reimann Hypothesis, simple Fermat’s theoremproof, the limit for closed-form solutions to use numerical approximations, a mathematicalframework for neural networks, attention-based architectures, generative neural networks,and the extensive applications of which have important consequences.