Sergey Viktorovich Matershov

Ω⁴-UNIFIED v80.0: Review — Eight Ω-Worlds, the Membrane Picture, and the Topological Origin of Physics (Parts I–IV)

[English version] Ω⁴-UNIFIED v80.0 — Review Article (Parts I–IV) is a comprehensive overview of the working hypothesis that the topology of a Calabi–Yau manifold (Tian–Yau / Z₃) generates the structure of physics: from particle masses to cosmological parameters and quantum gravit...

Ω⁴-UNIFIED v80.0: Topological Origin of Coupling Constants, FRG ↔ RGE Invariant, and SUSY Scale from Calabi–Yau Compactification

[English version] Ω⁴-UNIFIED v80.0 is a working hypothesis proposing that the topology of a Calabi–Yau manifold (Tian–Yau / Z₃) generates the structure of physics: from particle masses to cosmological parameters and quantum gravity. The model starts from Hodge numbers h¹¹ = 6, h²...

Solution of the strong CP problem via topological B_i: θ_QCD = e^(−c₂) = e^(−101) ≈ 10^(−44) without axion

Сильная CP-проблема — одна из главных нерешённых проблем физики элементарных частиц. В Стандартной Модели параметр θ_QCD свободен, но эксперимент (EDM нейтрона) требует |θ_QCD| < 10^(−10). Это «тонкая настройка». Мы показываем, что в модели Ω⁴-UNIFIED параметр θ_QCD не свободен,...

Derivation of the SUSY breaking scale M_SUSY = (2a − 1) · M_EW from SUSY QM on a membrane / Вывод масштаба нарушения суперсимметрии M_SUSY = (2a − 1) · M_EW из SUSY QM на мембране

[English version] We present a rigorous derivation of the formula for the SUSY breaking scale M_SUSY = (2a − 1) · M_EW, where a is a SUSY QM parameter and M_EW = 246.22 GeV is the electroweak scale. The derivation is based on a quantum-mechanical membrane model with a Pöschl–Tell...

Derivation of the SUSY breaking scale M_SUSY = (2a − 1) · M_EW from SUSY QM on a membrane / Вывод масштаба нарушения суперсимметрии M_SUSY = (2a − 1) · M_EW из SUSY QM на мембране

[English version] We present a rigorous derivation of the formula for the SUSY breaking scale M_SUSY = (2a − 1) · M_EW, where a is a SUSY QM parameter and M_EW = 246.22 GeV is the electroweak scale. The derivation is based on a quantum-mechanical membrane model with a Pöschl–Tell...

Ω⁴-UNIFIED: A Topological Model of Physics — from Calabi–Yau Topology to Particle Masses, Cosmology and Quantum Gravity

[English version] Ω⁴-UNIFIED is a working hypothesis proposing that the topology of a Calabi–Yau manifold (Tian–Yau / Z₃) generates the structure of physics: from particle masses to cosmological parameters and quantum gravity. The model starts from Hodge numbers h¹¹ = 6, h²¹ = 9,...

TOE_Omega4-Unified_SU26_CalabiYau_QuantumGravity_Matershov

We present a unified model Ω⁴-Unified connecting the mathematics of the gauge group SU(26) with the physics of a three-dimensional Calabi-Yau manifold (Tian-Yau). The master polynomial n(k) = (103k⁴ − 370k³ + 101k² + 478k)/12 generates the hierarchy of groups SU(26), SU(58), SU(5...

TOE_Omega4-Unified_SU26_CalabiYau_QuantumGravity_Matershov

We present a unified model Ω⁴-Unified connecting the mathematics of the gauge group SU(26) with the physics of a three-dimensional Calabi-Yau manifold (Tian-Yau). The master polynomial n(k) = (103k⁴ − 370k³ + 101k² + 478k)/12 generates the hierarchy of groups SU(26), SU(58), SU(5...

Ω⁴-Unified: Unity of SU(26) Mathematics and Calabi-Yau Physics — Complete Theory with Exact Standard Model Reproduction

This upload contains the complete Ω⁴-Unified model package including: 1. Main article (Russian and English): - Matershov_Omega4_Unified_Standard_Model_2026_ru.pdf/tex - Matershov_Omega4_Unified_Standard_Model_2026_en.pdf/tex 2. Vacuum diagnostics article (English): - Matershov_SU...

Ω⁴-Unified: Unity of SU(26) Mathematics and Calabi-Yau Physics — Complete Theory with Exact Standard Model Reproduction

This upload contains the complete Ω⁴-Unified model package including: 1. Main article (Russian and English): - Matershov_Omega4_Unified_Standard_Model_2026_ru.pdf/tex - Matershov_Omega4_Unified_Standard_Model_2026_en.pdf/tex 2. Vacuum diagnostics article (English): - Matershov_SU...

Algorithmic Atlas of Simple Lie Algebras: Universal Divisors, Complete Enumeration, and Connection to Σ-Ω⁴ Theory

Complete algorithmic atlas of 21 simple Lie algebras built without Bourbaki tables. Contains:- Root generation and simple roots finding (correct algorithm)- Cartan matrices and fundamental dimensions (Weyl formula)- Universal divisors and their classification- Exact N(k) values f...