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tensor-calculus

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A multidimensional jet space engine for high-order mixed partial Log-Tower derivatives. Features a Chronological Step-Operator Engine (Anchor/Web logic) that eliminates Bell polynomial explosion via asymmetric tensor caching. Replaces the quotient rule with an optimized derivative generator for lightning-fast symbolic mapping.

  • Updated Aug 14, 2026
  • Python

The Integrated Toroidal-Syntropic Model: Relativistic Field Equations, Topology-Induced Superfluid Dynamics, and Multi-Scale Falsifiability. This repository contains the formal relativistic manuscript and a complete computational falsifiability suite, featuring Python MCMC solvers for SPARC kinematics, NANOGrav resonance, and DESI 2024 data.

  • Updated Sep 1, 2026
  • Jupyter Notebook

The definitive architectural blueprint for the ZARQA Lunar Base. A zero-trust cyber-physical ecosystem unifying neuro-symbolic AI, biometric telemetry, and bioregenerative life support on Riemannian SPD manifolds. From formal verification to quantum-resistant edge computing and autonomous multi-agent swarm resilience.

  • Updated Sep 4, 2026
  • Python

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