সংরক্ষণ করুন:
| প্রধান লেখক: | , |
|---|---|
| বিন্যাস: | Recurso digital |
| ভাষা: | |
| প্রকাশিত: |
Zenodo
2026
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| বিষয়গুলি: | |
| অনলাইন ব্যবহার করুন: | https://doi.org/10.5281/zenodo.19425962 |
| ট্যাগগুলো: |
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সূচিপত্রের সারণি:
- <p>This paper proposes the “Necessity Principle of Modular Structure”, arguing<br>that the discrete hierarchical structure of congruence (modular arithmetic) is the<br>deep mathematical skeleton connecting information ontology and normed division<br>algebras. By analyzing the discrete definition of information quantity, the rigid<br>classification of Hurwitz’s theorem, and the recursive closure condition in octonion<br>geometry, we prove that modular invariance is the inevitable mathematical form<br>to avoid ontological nothingness and achieve self-consistency of high-dimensional<br>information. This framework reinterprets the periodicity of Euler’s formula as a<br>special case of low-dimensional modular structure, while the scale factor e2π at<br>the octonion level manifests as a generalized modular invariance under maximal<br>information density.</p>