拡張虚数理論

存在の構造を、現時点で意味を持つ構造的側面の総体である実次元（D）と、それに伴う非意味・非顕在・非定義のままの構造的余剰である虚次元（iD）の重ね合わせ Z = D + iD として記述する概念的枠組みを提示する。五公理を中核として、実次元の非閉鎖性・内在性・直交性・記述の非最終性・境界の動性を規定し、本シリーズの存在論的基盤を据える。

Presents a conceptual framework that describes the structure of existence as a superposition Z = D + iD: the real dimension (D), the totality of structural aspects that currently bear meaning, and the imaginary dimension (iD), the structural surplus that accompanies it while remaining non-meaningful, non-manifest, and undefined. Centred on five axioms — the non-closure, immanence, orthogonality, non-finality of description, and mobility of boundaries of the real dimension — it lays the ontological foundation of this series.

@misc{muranushi2026eint,
  author       = {Muranushi, Yuma},
  title        = {Extended Imaginary Number Theory: A Conceptual Framework for the Dual Structure of Existence},
  year         = {2026},
  howpublished = {Preprint, {\"\i}.Fragmenta No.~1, i.Institute},
  publisher    = {Zenodo},
  doi          = {10.5281/zenodo.20095255},
  url          = {https://doi.org/10.5281/zenodo.20095255}
}