License

 GitHub: https://github.com/buulongkg/SpatialArithmetic-TranBuuLong

License
The textual and descriptive content of this repository is licensed under CC BY 4.0.
The underlying theoretical framework, Structure, Sequence, and Organization (SSO), and any functional or commercial implementation rights are expressly reserved by the Author.

This repository presents and extends the core content archived in the Zenodo record.

Proposed Notice / Warning Text about SSO violations

Some approaches may “accidentally” or intentionally replicate the SSO structural framework of SA by substituting terminology or re-labeling concepts.
However, despite surface-level differences in naming, their core content, semantic meaning, operational rules, and structural logic remain fundamentally equivalent to SA’s SSO — including, but not limited to, dimensional vectors, dimensional scalars, scalar mapping mechanisms, spatial-symbolic, dimension-integrated, embedding vector, multi-dimensional geometry, embedding space, geometric reasoning and their governing transformation rules.

The SSO framework is an integrated logical structure, sequence and organization; as such, the replication of any constituent governing rule or functional module that relies on the foundational logical structure, sequence and organization of SSO is deemed a violation of the whole, irrespective of the scale of implementation.

The author does not dispute the use of alternative terminology, but explicitly emphasizes that copying the underlying content, core meaning, governing rules, and operational structure constitutes replication of the intellectual substance, regardless of wording changes.

Priority & Provenance Statement

This repository is a public release associated with DOI-registered records on Zenodo. The core concepts, theoretical framework, and foundational ideas presented here originate from prior DOI-stamped publications by Trần Bửu Long (Rạch Giá, Kiên Giang (An Giang), Vietnam).

GitHub serves as a dissemination and development platform; priority, authorship, and temporal provenance are established by the Zenodo DOI records. Any later works exhibiting conceptual overlap should be evaluated with respect to these registered timestamps.

Legal clarification
This repository presents theoretical concepts only.
All rights to any commercial use, specific implementation, algorithm, or software derived from or based on these concepts are expressly reserved by the author. Licensing for commercial or industrial applications must be negotiated separately with the author.
Any translation, adaptation, or conversion of the structure, sequence, and organization of this framework into any programming language or machine-readable format is considered a derivative work and requires prior written authorization.

Prior Art Notice – Spatial Arithmetic (SA) Framework
This document serves as a formal public disclosure of the Spatial Arithmetic (SA) framework, establishing it as Prior Art.
Core principles—including the emergence of space and dimensionality from energy dynamics, and the unified representation of number–dimension for machine intelligence and computation—are publicly disclosed herein.
Consequently, these foundational concepts are ineligible for subsequent novelty claims or exclusive patenting by any third party. The author, Trần Bửu Long, expressly reserves all rights regarding specific commercial implementations and software derivatives.
Author: Trần Bửu Long
Evidence of Priority (Timestamped): Zenodo DOI and GitHub Repository.

SPATIAL ARITHMETIC (SA) FRAMEWORK – END-USER LICENSE AGREEMENT (EULA)
IMPORTANT: PLEASE READ THIS AGREEMENT CAREFULLY. BY DOWNLOADING, CLONING, ACCESSING, OR USING ANY PART OF THE SA FRAMEWORK (INCLUDING THE SSO BLUEPRINTS), YOU AGREE TO BE BOUND BY THE TERMS OF THIS EULA.

1. OWNERSHIP AND INTELLECTUAL PROPERTY
The Spatial Arithmetic (SA) Framework, its original expressive structure, mathematical architecture, formal representation, Structure, Sequence, and Organization (SSO), and documented implementation expression are the sole intellectual property of the author, Trần Bửu Long (Rach Gia, Kien Giang (An Giang), Vietnam). These works are protected by international copyright laws and treaties.

2. GRANT OF LICENSE
Academic & Personal Use: You are granted a non-exclusive, non-transferable license to use the SA Framework for non-commercial, academic, and personal research purposes only, under the terms of the CC BY 4.0 license. Attribution to Trần Bửu Long is mandatory.
Commercial Use Prohibited: Any commercial or industrial application, including but not limited to incorporating SA logic into software, hardware, AI models, or proprietary algorithms for profit, is STRICTLY PROHIBITED without a separate, written Commercial License Agreement signed by the author.

3. RESTRICTIONS
You shall not:

• Decompile, reverse-engineer, or attempt to derive or replicate the distinctive expressive structure, arrangement, and formal organization of the SA Framework to create competing commercial products without authorization.
• Remove or obscure any copyright notices, DOI badges, or priority statements from the materials.
• Claim novelty or file for patents on any technology derived from the foundational principles disclosed in this framework (refer to the Prior Art Notice).

4. NO WARRANTY (DISCLAIMER)
THE SA FRAMEWORK IS PROVIDED “AS IS”, WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY CLAIM, DAMAGES, OR OTHER LIABILITY ARISING FROM THE USE OF THESE THEORETICAL CONCEPTS IN REAL-WORLD APPLICATIONS. THE USER ASSUMES ALL RISKS.

5. TERMINATION
This license shall terminate automatically and immediately if you fail to comply with any of its terms or conditions, without prior notice.
Upon termination, you must immediately cease all use, access, reproduction, distribution, and commercialization of the SA Framework and any associated SSO materials.
You must destroy or permanently delete all copies in your possession or control, including any derivative works, implementations, trained models, datasets, or systems incorporating the SA Framework.
Termination shall not relieve you of any legal liability for violations occurring prior to termination.
The author reserves the right to request written certification of compliance, including reasonable proof of deletion and cessation of use.

6. GOVERNING LAW
This agreement shall be governed by the laws of the Socialist Republic of Vietnam and international treaties on Intellectual Property. Any disputes shall be subject to the exclusive jurisdiction of the competent authorities in Vietnam.
Author: Trần Bửu Long (Rạch Giá, Kiên Giang (An Giang), Vietnam)
Contact for Licensing: buulongkg@gmail.com

INTELLECTUAL PROPERTY & LICENSING CLARIFICATION

1) Content License: The textual, descriptive, and illustrative content of this document/repository is licensed under Creative Commons Attribution 4.0 International (CC BY 4.0). This allows for the sharing and adaptation of the information herein, provided appropriate credit is given.

2) Structure, Sequence and Organization (SSO) Reservation: The license (CC BY 4.0) does not extend to any functional implementation, algorithms, or the specific Structure, Sequence, and Organization (SSO) of the Spatial Arithmetic (SA) framework.

3) Commercial Restriction: Any integration of the SA framework into commercial software, hardware, or AI training models constitutes a use of the author’s proprietary Software Architecture and Methodology. Such use is NOT authorized under CC BY 4.0 and requires a separate, explicit Commercial License from the Author.

4) Patent & Trade Secret Notice: The structure, sequence and organization of SA are treated as proprietary intellectual assets. Unauthorized commercial exploitation will be considered an infringement of the author’s fundamental rights over the technological innovation itself.

This version constitutes the authoritative and controlling release.
All previous versions are hereby expressly superseded and legally nullified.
Any reliance on earlier versions for technical, legal, or commercial purposes is invalid and must cease immediately.
Continued use of prior terms shall be deemed unauthorized and a violation of the author’s intellectual property rights.

© 2024-2026 Trần Bửu Long. All rights reserved regarding commercial implementations.