Method and Apparatus for Relativistic Manifold Embedding and Normalization in Deep Neural Networks

This technical report specifies the mathematical formulation and architectural design for Relativistic Manifold Embedding and Normalization in deep neural networks. It introduces Minkowski RMSNorm, dynamic hyperboloid coordinate projection mechanics, analytical timelike coordinate derivation, and a hybrid exact/asymptotic logarithmic geodesic distance matrix calculation algorithm on a Pseudo-Riemannian Lorentz Hyperboloid manifold. ---Author Links & Resources:- Personal Website: https://baar.uk/- Hugging Face Profile: https://huggingface.co/aixk