Spacetime Reconstruction Based on Topological Vortex Spacetime Ontology (TVSTO)(2)
Bao-hua ZHANG
III. The Nature of Time: Emergence from Vortex Spin
Time is reconstructed as a macroscopic manifestation of topological entropy:
Absoluteness: Each vortex acts as an independent quantum clock, its spin period (T = 2π/ω) possessing intrinsic invariance.
Relativity: Variations in the winding number of the vortex network lead to differences in local time flow rates, realizing relativistic effects.
Directionality: The process of topological defect...
Spacetime Reconstruction Based on Topological Vortex Spacetime Ontology (TVSTO)(1)
Bao-hua ZHANG
I. Absolute Space: Quantized Vortex Ground State
Absolute space is redefined as a highly ordered topological vacuum state, manifesting as a zero-entropy vortex fluid network. Its essential characteristics include:
Isotropy: The vortex ground state possesses identical topological symmetry in any direction.
Absolute Rest: The quantized circulation (Γ = nκ) of the ground state vortices remains constant, unaffected by external perturbations....
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 die Abbildungen der dreidimensionalen Sphäre auf die Kugelfläche [On the Mappings of the...
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 annihilation.
(1) Physical Significance:
This theory is applicable not only to classical fluids but...
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 Process and Knots:
a. Vortex Reconnection: This is the most critical process. When the two rings...
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 threading.
2.2 Writhe and Twist Number (Wr & Tw) According to the Călugăreanu–White formula, for a...
A Study on Topological Vortex Ring Interactions Based on Möbius Loop and Hopf Link Concepts (1)
Abstract
This paper aims to explore the complex interactions of topological vortex rings in fluid mechanics and establish a novel topological framework for them. Vortex rings, as coherent structures carrying circulation and possessing stable topological structures, undergo interactions (such as collision, threading, and merging) that are inherently processes of topological transformation. We introduce the concept of the Möbius loop to describe the twisted intrinsic property (i.e.,...
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, propose potential future research directions, and promote collaboration and innovation in related...
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 "ambient energy harvesters" for Micro-Electro-Mechanical Systems (MEMS) and implantable medical...
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, the vortex array may enter a steady-state "dynamic mode." This mode could manifest as:...
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 characteristics include:
Topological Protection: Transitioning from a vortex state to a uniform...
A Concept for Perpetual Electric Body Based on Topological Vortex Theory Integrating Permanent Magnets and Radioactive Elements (1)
Abstract
This paper proposes a forward-looking materials design concept: by integrating the stable magnetic order of permanent magnets, the continuous energy excitation of radioactive elements, and the protected order parameter of topological vortices, we explore the synthesis of a "perpetual electric body" exhibiting a sustained polarized or charge-separated state. This concept is rooted in topological vortex theory—the idea that ubiquitous, inexhaustible topological defects in the...
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