NKTgLaw

Features

• This repository presents the complete commercial ecosystem built on the NKTg Law on Varying Inertia, including NKTg AI, Programming Cosmic Dynamics, NKTgUniversa API, autonomous vehicle technologies, together with the theoretical foundation of the law and experimental validations conducted using publicly available datasets from NASA and the European Space Agency (ESA). 🧠 NKTg AI NKTg AI is the flagship commercial product built on the NKTg Law on Varying Inertia. Unlike traditional summarization tools or generative AI, it is a deterministic Language Decoding System that applies physical algorithms to measure semantic energy and identify the Core Content—the author's original logical genetic code. Designed for organizations, researchers, professionals, and decision-makers, NKTg AI performs all processing locally through WebAssembly, requiring no server, cloud service, external AI model, or remote database, ensuring deterministic results, complete privacy, and offline capability. Official Resources Resource Link 🌐 Official Website https://nktg.org 📚 NKTg AI Help Center https://help.nktg.org Repository Distribution NKTg AI is officially distributed across multiple public source code hosting platforms to improve availability, long-term preservation, redundancy, and global accessibility. Platform Repository GitLab https://gitlab.com/NKTgAI/NKTgAI Hugging Face https://huggingface.co/NKTgAI/NKTgAI Gitea https://gitea.com/NKTgAI/NKTgAI Codeberg https://codeberg.org/NKTgAI/NKTgAI Bitbucket https://bitbucket.org/nktgai/nktgai/src/main/ Launchpad https://launchpad.net/nktgai SourceForge https://sourceforge.net/projects/nktgai/ SourceHut https://git.sr.ht/~nktgai/NKTgAI RocketGit https://rocketgit.com/NKTgAI/NKTgAI Framagit https://framagit.org/NKTgAI/NKTgAI Disroot Git https://git.disroot.org/NKTgAI/NKTgAI
• 📚 Programming Cosmic Dynamics Programming Cosmic Dynamics is a book series by Nguyen Khanh Tung based on the NKTg Law on Varying Inertia. Available worldwide through major digital publishing platforms. Built across 11 programming languages • Tested with real data from the European Space Agency (ESA) • Error margin: 0.208%. 👉 Where to Get It - Leanpub https://leanpub.com/NKTgLaw - Google Play Books https://play.google.com/store/books/details?id=CNLKEQAAQBAJ&pli - Amazon https://www.amazon.com/dp/B0GTSBBRYR - Payhip https://payhip.com/b/fU8Xr - Gumroad https://nktglaw.gumroad.com/l/NKTgLaw
• 🌐 NKTg Autonomous Vehicle Ecosystem An autonomous vehicle platform powered by the NKTg Law on Varying Inertia, combining ESP32 hardware, specialized sensors, and a real-time web dashboard. Distributed across multiple repositories, it forms a globally verifiable computational physics platform for autonomous control. 🔗 Distributed Repository Presence GitHub: https://github.com/NKTg-Variable-Inertia/programming-cosmic-dynamics-control-system GitLab: https://gitlab.com/NKTg-Variable-Inertia/programming-cosmic-dynamics-real-time-control Gitea: https://gitea.com/NKTg-Variable-Inertia/programming-cosmic-dynamics-embedded-systems Codeberg: https://codeberg.org/NKTg-Variable-Inertia/programming-cosmic-dynamics-vehicle-system Bitbucket: https://bitbucket.org/nktg-variable-inertia/programming-cosmic-dynamics-motion-control/src/main/ Launchpad: https://launchpad.net/programming-cosmic-dynamics-dynamic-systems SourceForge: https://sourceforge.net/projects/cosmic-dynamics-system/ SourceHut: https://git.sr.ht/~nktg-variable-inertia/programming-cosmic-dynamics-ai-robotics RocketGit: https://rocketgit.com/user/NKTg-Variable-Inertia/programming-cosmic-dynamics-data-simulation Framagit: https://framagit.org/NKTg-Variable-Inertia/programming-cosmic-dynamics-control-system Disroot: https://git.disroot.org/NKTg-Variable-Inertia/programming-cosmic-dynamics-control-engine
• 📖 Foundational Law The NKTg Law on Varying Inertia describes the movement tendency of an object in space depends on the relationship between its position, velocity, and mass. NKTg = f(x, v, m) In which: x is the position or displacement of the object relative to the reference point. v is the velocity. m is the mass. The movement tendency of the object is determined by the following basic product quantities: NKTg₁ = x × p NKTg₂ = (dm/dt) × p In which: p is the linear momentum, calculated by p = m × v. dm/dt is the rate of mass change over time. NKTg₁ is the quantity representing the product of position and momentum. NKTg₂ is the quantity representing the product of mass variation and momentum. The unit of measurement is NKTm, representing a unit of varying inertia. The sign and value of the two quantities NKTg₁ and NKTg₂ determine the movement tendency: If NKTg₁ is positive, the object tends to move away from the stable state. If NKTg₁ is negative, the object tends to move toward the stable state. If NKTg₂ is positive, the mass variation has a supporting effect on the movement. If NKTg₂ is negative, the mass variation has a resisting effect on the movement. The stable state in this law is understood as the state in which the position (x), velocity (v), and mass (m) of the object interact with each other to maintain the movement structure, helping the object avoid losing control and preserving its inherent movement pattern. Reference DOI: These DOIs represent the theoretical foundation and empirical datasets of the NKTg Law on Varying Inertia. Zenodo: 10.5281/zenodo.15808498 Permanent DOI Archive: All research on the NKTg Law on Varying Inertia is permanently registered and archived via DOI records in DataCite and Crossref, ensuring global traceability, academic verifiability, and long-term preservation. ORCID: https://orcid.org/0009-0002-9877-4137 Blockchain Verification: NKTg Law is recorded on the Solana blockchain: Token: NKTg = f(x, v, m) Symbol: NKTg Smart Contract: Cks3YVsvYDZhyDYy3nd5EaEewjrtFJVitdPUt8HQa3XL 📂 Core Components Core library: implementation in C++ / Rust / Go API layer: REST and gRPC interfaces Client wrappers: available for many languages under clients/ Standalone implementations: 150 language versions under examples/
• 🌌 NKTgUniversa API The NKTgUniversa API is the Universal Dynamics Ecosystem built on the NKTg Law on Varying Inertia, providing a cross-platform and cross-disciplinary framework for modeling variable inertia, dynamic mass interactions, and systemic motion across multiple domains, including: Planetary dynamics Orbit navigation Robotics & control systems State-reflective AI Physics simulation By modeling the relationships among position, velocity, and mass variation, the framework is applicable not only in theoretical physics but also in practical engineering and real-world computational systems. Key Features Core libraries implemented in C++, Rust, and Go REST and gRPC API interfaces Over 150 programming language implementations Consistent mathematical behavior across all supported platforms Experimental verification using planetary and NASA datasets Reference DOI: Long-term preservation and citation for the NKTg Law Core, API, and 150 language implementations. Zenodo: 10.5281/zenodo.17190536 Detailed experimental datasets and verification results are provided in the Foundations section. 🌍 Multi-Platform Deployment To ensure long-term availability, independent verification, reproducibility, and platform independence, the NKTgUniversa API is continuously distributed across multiple Git hosting platforms. Each repository contains an identical implementation of the NKTg Law, allowing anyone to verify, reproduce, and access the system without relying on a single provider. GitLab: https://gitlab.com/NKTgLaw/NKTgLaw Huggingface: https://huggingface.co/NKTgLaw/NKTgLaw Gitea: https://gitea.com/NKTgLaw/NKTgLaw Codeberg: https://codeberg.org/NKTgLaw/NKTgLaw Launchpad: https://launchpad.net/nktglaw SourceForge: https://sourceforge.net/projects/nktglaw/ Bitbucket: https://bitbucket.org/nktg/nktglaw/src/main/ SourceHut: https://git.sr.ht/~nktglaw/NKTgLaw RocketGit: https://rocketgit.com/NKTgLaw/NKTgLaw Framagit: https://framagit.org/NKTgLaw/NKTgLaw Disroot: https://git.disroot.org/NKTgLaw/NKTgLaw GitHub: https://github.com/NKTgLaw/NKTgLaw Reference DOI: NKTg Law of Varying Inertia: Content Standardized Across the 21 Most Widely Spoken Human Tongues Zenodo: 10.5281/zenodo.18722425 Reference DOI: Publication of Software Description and Algorithm for the NKTg Law of Variable Inertia: Content Standardized Across the 21 Most Widely Spoken Human Tongues Zenodo: 10.5281/zenodo.18890313 The NKTg Law follows open-source reproducibility principles through transparent, multilingual, and cross-platform implementations. The system has been experimentally verified using publicly available NASA datasets with consistent computational results and is available in more than 150 programming languages, supporting both Offline Mode and Online Mode. Through this distributed infrastructure, NKTgUniversa API serves as a globally accessible, independently verifiable Universal Dynamics Ecosystem for open science, cross-domain engineering, and reproducible computational physics.
• 📖 Documentation Detailed documentation for the NKTgLaw Library is maintained in the project wiki: API Guide Global Physics Standard API Library Structure Theory Visit the wiki for detailed explanations, examples, and API references. 📑 Foundations The foundations/ directory contains theoretical materials and supporting documents: Reference DOI: Experimental Verification of the NKTg Law Using NASA Mercury Data in 2025 Zenodo — 10.5281/zenodo.18734660 Reference DOI: Experimental Verification of the NKTg Law in Earth Orbit Based on NASA’s 2025 Earth Dataset Zenodo — 10.5281/zenodo.18859684 Reference DOI: Experimental verifications Summary of Neptune Data Simulated by the NKTg Law Compared to NASA's Published Data (2024) Zenodo — 10.5281/zenodo.15864091 Reference DOI: Experimental Verification of the NKT Law: Interpolating the Masses of 8 Planets Using NASA Data as of 30–31/12/2024 Zenodo — 10.5281/zenodo.16023879 Reference DOI: NKTm Unit: Measurement Standard for Varying Inertia in the NKTg Law Zenodo — 10.5281/zenodo.17162127 Reference DOI: Compatibility of Classical Physics, Relativity, and Quantum Mechanics with the NKTg Law Zenodo — 10.5281/zenodo.18406191 Reference DOI: Variable Inertia From Abstract Concept to the Era of Measuring the Universe Zenodo — 10.5281/zenodo.18897940 In NKTg Law, NKTg₁ and NKTg₂ are not independent quantities but two interrelated expressions of a single concept — the generalized variable inertia NKTg. NKTg₁ represents the interaction between position and momentum. NKTg₂ represents the interaction between mass variation and momentum. Both share the same measurement unit NKTm and together describe the complete state of variable inertia within a system. The law emphasizes that NKTg₁ and NKTg₂ are not independent entities, but two aspects of the same physical phenomenon: variable inertia. They express different manifestations of the same underlying essence — the change in the motion tendency of an object system when the factors x, v, and m vary. Wiki.md: consolidated wiki documentation Index.md: structured entry point for foundational texts 👉 Browse the full collection here: foundations/ 🌍 Examples This repository contains 150 implementations of the NKTg Law, one for each programming language. All code snippets are stored in the examples/ directory. Each file is self-contained and demonstrates the calculation of: p = m * v NKTg₁ = x * p NKTg₂ = (dm/dt) * p Default parameters: x=2, v=3, m=5, dm_dt=0.1 👉 Browse the full list here: examples/ Examples include (but are not limited to): High-level: Python, Java, JavaScript, C#, Swift, Kotlin, Go, Rust Scientific: MATLAB, R, Julia, Fortran Functional: Haskell, Scala, Lisp, Scheme, F# Systems: C, C++, Assembly, Ada Web & scripting: PHP, TypeScript, Ruby, Lua, Perl, Bash Database & query: SQL, PL/SQL Specialized: Solidity, VHDL, Verilog, Q#, Scratch, Prolog, COBOL ⚡ Quick Start NKTgLaw supports both offline and online modes. For maximum performance and full precision, we recommend using the offline backend, located at server/server_offline. For quick integration or remote access, you can use the online client wrappers under clients/. 👉 You can also explore the examples/ directory for 150 standalone implementations. Assembly ; Assembly: low-level programming ; x=2, v=3, m=5, dm_dt=0.1 ; Calculate p=m*v, NKTg1=x*p, NKTg2=dm_dt*p conceptually Q# // Q#: quantum programming let x=2.0; let v=3.0; let m=5.0; let dm_dt=0.1; let p=m*v; let NKTg1=x*p; let NKTg2=dm_dt*p; Message($"p={p} NKTg1={NKTg1} NKTg2={NKTg2}"); 👉 Use the provided client wrappers to quickly test the NKTg Law. Python Client cd clients/python python NKTgLaw.py Expected output: p=15.0, NKTg1=30.0, NKTg2=1.5 C++ Client cd clients/cpp g++ NKTgLaw.cpp -o nktg_client ./nktg_client Expected output: p=15 NKTg1=30 NKTg2=1.5 📜 License NKTgLaw is available under a dual licensing model: 1. GPL-3.0 License (Open Source) You can use, modify, and redistribute NKTgLaw under the terms of the GPL-3.0 License. This version is free and requires that any derivative works are also released under GPL-3.0. 2. Commercial License (Proprietary) For commercial use without the GPL obligations, a commercial license is required. See LICENSE-commercial.txt for terms and conditions. Contact Nguyen Khanh Tung (traiphieu.com@gmail.com) for licensing and support. Note: Each user must choose either the GPL license or the Commercial license. Combining both is not permitted for the same use case. 🌍 Version: v1.0.0 (Stable) 🌍 Status: This version marks the completion of the core NKTg Law implementation, fully optimized for performance and production-ready.

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