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A Concept for Perpetual Electric Body Based on Topological Vortex Theory Integrating Permanent Magnets and Radioactive Elements (2)2. Theoretical Framework and Core Principles 2.1 Topological Vortices as the Microscopic Basis for "Perpetual Motion" In traditional ferroelectric materials, domain switching requires overcoming an energy barrier. In contrast, the topological vortex state (e.g., the polar vortices observed in PbTiO₃/SrTiO₃ superlattices) is a complex structure of rotating polarization vectors [1]. Its core...0 评论 0 分享 912 浏览次数 0 评价
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A Concept for Perpetual Electric Body Based on Topological Vortex Theory Integrating Permanent Magnets and Radioactive Elements (3)2.2.3 Topological Vortex Material (Order Parameter and Response Unit): Function: To serve as the core functional phase, where the collective dynamical behavior of its topological vortex states produces detectable macroscopic electrical signals. Mechanism: Under the combined influence of the magnetic environment from the permanent magnet and the perturbations from the radioactive elements,...0 评论 0 分享 947 浏览次数 0 评价
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A Concept for Perpetual Electric Body Based on Topological Vortex Theory Integrating Permanent Magnets and Radioactive Elements (4)5. Discussion and Prospect Despite the significant challenges, the value of this concept lies in its heuristic and forward-looking nature. Observing any sustained electrical signal generated by this triadic coupling that surpasses the noise level in experiments would be a milestone. Potential application prospects include: 1)Novel Micro-Energy Devices: Providing long-life, maintenance-free...0 评论 0 分享 954 浏览次数 0 评价
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A Concept for Perpetual Electric Body Based on Topological Vortex Theory Integrating Permanent Magnets and Radioactive Elements (5)Academic Statement The inspiration for this paper comes from ongoing contemplation of interdisciplinary fundamental scientific questions. The concept of synthesizing a "perpetual electric body" using permanent magnets, radioactive elements, and topological vortices, is purely a heuristic and speculative theoretical discussion. Its purpose is to stimulate interdisciplinary academic thought,...0 评论 0 分享 979 浏览次数 0 评价1
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A Study on Topological Vortex Ring Interactions Based on Möbius Loop and Hopf Link Concepts (2)2. Theoretical Foundation: Topological Invariants 2.1 Linking Number (Lk) For two simple, unknotted but mutually entwined closed curves (like an ideal Hopf link), the linking number Lk is a topological invariant representing the total number of times (with sign) one loop winds around the other. For two vortex rings, Lk quantitatively describes the topological strength of their mutual...0 评论 0 分享 980 浏览次数 0 评价
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A Study on Topological Vortex Ring Interactions Based on Möbius Loop and Hopf Link Concepts (3)4. Superposition of Counter-rotating Vortex Rings and Knot Formation The situation is radically different when two vortex rings with opposite circulation directions (counter-rotating) interact: (1) Topological Description: Can be seen as the superposition of a positive Hopf link and a negative Hopf link. The total topological charge (net circulation) of the system is zero. (2) Dynamical...0 评论 0 分享 927 浏览次数 0 评价1
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A Study on Topological Vortex Ring Interactions Based on Möbius Loop and Hopf Link Concepts (4)5. Discussion and Outlook The framework constructed in this study abstracts specific physical phenomena into topological operations: a. Co-rotating superposition ≈ Addition of topological charges, structure tends towards stability or higher-order linking. b. Counter-rotating superposition ≈ Subtraction of topological charges, structure tends towards generating singular knots or...0 评论 0 分享 892 浏览次数 0 评价
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A Study on Topological Vortex Ring Interactions Based on Möbius Loop and Hopf Link Concepts (5)References Călugăreanu, G. (1959). L'intégrale de Gauss et l'analyse des nœuds tridimensionnels [The Gauss Integral and the Analysis of Three-Dimensional Knots]. Revue de mathématiques pures et appliquées, 4, 5-20. Faddeev, L. D., & Niemi, A. J. (1997). Stable knot-like structures in classical field theory. Nature, 387(6628), 58-61. Hopf, H. (1931). Über...0 评论 0 分享 904 浏览次数 0 评价1
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An Overview of the Development of Topological Vortex Theory (TVT)1. Introduction: On the Topological Vortex Theory (TVT) and Topological vortices Topological vortices and the Topological Vortex Theory (TVT) are closely related yet distinct concepts. Their differences can be analyzed from the following dimensions: 1.1 Definition and Scope 1.1.1 Topological Vortices: Refer to vortex structures with topological defects, commonly found in physical phenomena...0 评论 0 分享 1千 浏览次数 0 评价
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An Overview of the Development of Topological Vortex Theory (TVT)1.2 Relationship and Differences 1.2.1 Subordination: Topological vortices are one of the subjects studied in TVT, but TVT has a broader scope, encompassing mathematical modeling, physical mechanisms, and philosophical implications of vortices. 1.2.2 Theoretical Extensions: TVT not only describes the static topological properties of vortices (e.g., phase singularities) but also introduces...0 评论 0 分享 1千 浏览次数 0 评价
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An Overview of the Development of Topological Vortex Theory (TVT)2. The Key Developmental Stages of Topological Vortex Theory (TVT) The development of Topological Vortex Theory (TVT) can be traced back to the study of topological phase transitions in condensed matter physics during the 1970s, and it gradually evolved into an interdisciplinary theoretical framework in the 21st century. The following are its key developmental stages: 2.1 Theoretical...0 评论 0 分享 1千 浏览次数 0 评价
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A Mathematical and Physical Analysis On the Origin of Objects (or Matters) in Space (1)Abstract This paper systematically explores the origin of objects in space based on the fundamental postulate of Topological Vortex Theory (TVT) — that space is a physical entity with the properties of an inviscid, incompressible, and isotropic ideal superfluid. We first critique various pseudoscientific theories that mystify the origin of matter, highlighting their lack of...0 评论 0 分享 197 浏览次数 0 评价
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A Mathematical and Physical Analysis On the Origin of Objects (or Matters) in Space (3)3.2 Topological Defects as Precursors of Matter In TVT, the essence of an object is a topological vortex in the spatial superfluid. Considering a vortex in a two-dimensional cross-section with a winding number \(n \in \mathbb{Z}\): \[\oint_C \nabla \theta \cdot d\mathbf{l} = 2\pi n\] This vortex possesses: 1)A core: \(\Psi = 0\), corresponding to a localized region of spatial "excitation,"...0 评论 0 分享 174 浏览次数 0 评价
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A Mathematical and Physical Analysis On the Origin of Objects (or Matters) in Space (4)4.3 Testable Predictions 1) Cosmological aspects: TVT predicts remnant topological defects (e.g., cosmic strings) in the early universe [3], with observational signatures different from those predicted by inflation alone. 2) Laboratory simulation: The mechanism of matter formation in TVT can be simulated in superfluid systems like Bose-Einstein Condensates (BEC) [4, 6], verifying the...0 评论 0 分享 216 浏览次数 0 评价
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A Mathematical and Physical Analysis On the Origin of Objects (or Matters) in Space (5)Academic Statement 1) This paper is an exploratory and deductive academic paper based on the specific theoretical framework of Topological Vortex Theory (TVT). The viewpoints, mechanisms, and conclusions presented herein are logical deductions and hypotheses within this framework, aiming to explore a possible approach to the question of material origin. 2) Topological Vortex Theory (TVT)...0 评论 0 分享 206 浏览次数 0 评价
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