T₃ Topological Vortex Field Theory: Ontological Equivalence Modeling and Global Unified Derivation of Mass Kinetic Energy and Electromagnetic Energy Storage T₃拓扑涡旋场论 质量动能与电磁储能的本体等价建模及全域统一推导
Abstract
Based on the T₃ vortex unified field theory (compatible with the v7.1 axiomatic system), this paper investigates the ontological equivalence between the origin of mass of elementary particles and electromagnetic energy storage. Without introducing additional hypotheses, this paper employs the "critical vortex effective velocity" and the topological locking axiom within the T₃ framework to construct, for the first time, the vortex equivalent capacitance () and intrinsic equivalent electric potential () of elementary particles.
Through algebraic coupling for the Möbius electron (single-strand vortex) and trefoil knot baryon (three-strand braided vortex), fully isomorphic field energy-storage equations for leptons and baryons are derived, yielding a rigorous algebraic closed loop. This model not only provides a microscopic topological interpretation for electromagnetic mass theory, but also perfectly bridges the topological phase transition mechanism from particle states to photon states (dual accounts) via the reorganization of equivalent capacitance. The derivation in this paper proceeds with zero omitted steps and no abbreviation; all dimensional analyses are strictly self-consistent.
摘要
本文基于 T₃ 涡旋统一场论(适配 v7.1 公理体系),探讨基本粒子的质量起源与电磁储能的本体等价性。在不引入额外假设的前提下,本文利用 T₃ 体系的“临界涡旋有效速度”与“拓扑锁定公理”,首次构造了基本粒子的涡旋等效电容()与内禀等效电势()。
通过对莫比乌斯电子(单股涡旋)与三叶结重子(三股编织涡旋)的代数联立,本文成功推导出轻子与重子完全同构的场储能方程,并给出了极其精确的代数闭环。该模型不仅为电磁质量理论提供了微观拓扑解释,还通过对等效电容的重组,完美桥接了粒子态向光子态(双账户)的拓扑相变机制。本文的推导全程零跳步、零省略,所有量纲绝对自洽。
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BibTeX
@misc{liu2026t₃,
title = {{T₃ Topological Vortex Field Theory: Ontological Equivalence Modeling and Global Unified Derivation of Mass Kinetic Energy and Electromagnetic Energy Storage T₃拓扑涡旋场论 质量动能与电磁储能的本体等价建模及全域统一推导}},
author = {Zhongqiang Liu},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23455983},
url = {https://zenodo.org/records/23455983},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - T₃ Topological Vortex Field Theory: Ontological Equivalence Modeling and Global Unified Derivation of Mass Kinetic Energy and Electromagnetic Energy Storage T₃拓扑涡旋场论 质量动能与电磁储能的本体等价建模及全域统一推导
AU - Zhongqiang Liu
PY - 2026
DA - 2026/10/18
PB - Zenodo
DO - 10.5281/zenodo.23455983
UR - https://zenodo.org/records/23455983
AB - Based on the T₃ vortex unified field theory (compatible with the v7.1 axiomatic system), this paper investigates the ontological equivalence between the origin of mass of elementary particles and electromagnetic energy storage. Without introducing additional hypotheses, this paper employs the "critical vortex effective velocity" and the topological locking axiom within the T₃ framework to construct, for the first time, the vortex equivalent capacitance () and intrinsic equivalent electric potential () of elementary particles. Through algebraic coupling for the Möbius electron (single-strand vortex) and trefoil knot baryon (three-strand braided vortex), fully isomorphic field energy-storage equations for leptons and baryons are derived, yielding a rigorous algebraic closed loop. This model not only provides a microscopic topological interpretation for electromagnetic mass theory, but also perfectly bridges the topological phase transition mechanism from particle states to photon states (dual accounts) via the reorganization of equivalent capacitance. The derivation in this paper proceeds with zero omitted steps and no abbreviation; all dimensional analyses are strictly self-consistent. 摘要 本文基于 T₃ 涡旋统一场论(适配 v7.1 公理体系),探讨基本粒子的质量起源与电磁储能的本体等价性。在不引入额外假设的前提下,本文利用 T₃ 体系的“临界涡旋有效速度”与“拓扑锁定公理”,首次构造了基本粒子的涡旋等效电容()与内禀等效电势()。 通过对莫比乌斯电子(单股涡旋)与三叶结重子(三股编织涡旋)的代数联立,本文成功推导出轻子与重子完全同构的场储能方程,并给出了极其精确的代数闭环。该模型不仅为电磁质量理论提供了微观拓扑解释,还通过对等效电容的重组,完美桥接了粒子态向光子态(双账户)的拓扑相变机制。本文的推导全程零跳步、零省略,所有量纲绝对自洽。
ER -