On the Topological Isomorphism between IUT Theory and Discrete Electromagnetic Graph Models

[Ignat Ignatov]

Dear colleagues,

I am writing to share a comparative analysis concerning the structural foundations of Inter-universal Teichmüller (IUT) theory, as formulated by Shinichi Mochizuki, and the discrete electromagnetic graph models developed within the framework of my independent research (2006–2008).

The core of this inquiry focuses on the structural equivalence between IUT formalisms and the discrete field-theoretical representations used in high-frequency engineering and VLSI design. Specifically, I invite you to examine the structural similarity discussed in Mochizuki’s On the Essential Logical Structure of Inter-universal Teichmuller Theory in Terms of Logical AND "∧"/ Logical OR "∨" Relations (see §3.10).

On page 88 of the aforementioned work, the author presents a logical structure that serves as a complete topological isomorphism to the discrete graph models implemented in my repository:

• Formal Reference: Mochizuki, IUT Theory Papers (English)

• Engineering Implementation: spq Repository (GitHub)

• Archival Documentation: Development History (2006-2008)

The structural correspondence identified (InfH) is not merely an analogy; it constitutes a formal mapping between the "Arithmetic Holomorphy" in IUT theory and the discrete electromagnetic systems governed by the Kron graph. The provided implementation illustrates how these operators function in a computational environment, effectively bridging abstract arithmetic structures with tangible field dynamics.

I encourage researchers interested in discrete topology and computational electromagnetics to evaluate this mapping.

I realize this is a complex subject that demands a significant commitment of time and effort.

If this does not align with your current research or interests, please simply disregard this message. No response is necessary. However, if the technical approach presented in the repository warrants further clarification or if you find common ground in this methodology, please let me know, and I would be happy to discuss the implementation details.

Best regards,

ignat

Таблица соответствий (уточненная)

Термин IUT (Мотидзуки)	Термин СФВ (Плотникова/Бартини)	Функциональная роль
Hodge Theater	Ячейка СФВ (матричная ячейка)	Пространство для локальных вычислений и взаимодействия операторов.
Inter-universal Transport	Оператор перехода ($c^n$)	Метод сохранения инвариантов при переходе между доменами реальности.
Ө-link (Theta-link)	Отрицательная форма, коммутатор [d*]	Инструмент деформации, порождающий дискретные ансамбли из непрерывного поля.
Eulerian system	Положительная форма / Поле	Исходная структура (непрерывная среда).
Frobenioid	Оператор квантования / Ансамбль	Правила «дискретизации» и свойства дискретных объектов.
Mono-anabelian geometry	Правило симметрии (сигнатура 7)	Фундаментальный структурный инвариант, сохраняющийся при всех преобразованиях.
Arithmetic Holomorphy	Верхняя строка (Поле Мысли)	Уровень «замысла», задающий топологию всех нижележащих отношений.
Etale-like structures	Диполь / Квадруполь	Реализация «схлопывания» непрерывного поля в наблюдаемые физические формы.