An Overview of the Development of Topological Vortex Theory (TVT)
2.3 Interdisciplinary Expansion: Proposal of TVT
In the early 21st century, scholars such as Bao-hua ZHANG extended the concept of topological vortices to spacetime structures, proposing TVT. This theory posits that spacetime originates from a dynamic network of quantized vortices, with their interactions explaining the transition from microscopic turbulence to macroscopic linear flow. Through vortex quantization (Γ = nκ) and the BKT transition mechanism, TVT bridges the gap...
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 Emergence: BKT Transition and Topological Defects
In the 1970s, Thouless and Kosterlitz proposed the BKT...
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 dynamic evolution models, such as vortex mergers triggering topological phase transitions or...
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 such as fluids, superconductors, and optical systems. Examples include quantum vortices in...
Topological Vortex Theory (TVT) Challenges the Quantum Mechanics Paradigm
IV. Innovation in Philosophical Foundations
Integrating Kant's concept of the "thing-in-itself," TVT separates phenomenal entities from noumenal entities, thereby dissolving the subjective dependence of quantum phenomena on the observer. The introduction of this philosophical perspective fundamentally opposes the positivist tradition of "observation creates reality" prevalent in quantum interpretations, paving a revolutionary new direction for quantum theory.
Topological Vortex Theory (TVT) Challenges the Quantum Mechanics Paradigm
II. A New Mechanism for the Quantum-Classical Transition
TVT proposes a gradual process of environment-induced collapse from matter waves to probability waves, contrasting sharply with von Neumann's instantaneous collapse model. This mechanism links matter waves and probability waves through Fourier transforms, offering a more intuitive physical correspondence for wave-particle duality and moving beyond the explanatory framework of quantum decoherence for the emergence of the classical...
Topological Vortex Theory (TVT) Challenges the Quantum Mechanics Paradigm
Topological Vortex Theory (TVT) poses a systematic challenge to the interpretative paradigm of quantum mechanics, with its core breakthroughs reflected in the following aspects:
I. Reconstruction of the Nature of Spacetime
TVT defines spacetime as a dynamic topological vortex network, fundamentally overturning the mathematical formalism based on Hilbert space in quantum theory. This geometric-topological duality model not only explains the physical origin of quantum probability (through...
The Simplicity and Explanatory Power of Topological Vortex Theory (TVT)
3.Breakthrough Regarding the Scale Gap
TVT reveals the essential differences between different physical phenomena through scale laws: galactic vortices are governed by continuum mechanics, while quantum vortices are constrained by topological quantum field theory. This layered explanatory capability allows it to describe large-scale energy transfer in Kelvin waves while also addressing the stability of soliton solutions in string theory, forming a dimensional reduction advantage over...
The Simplicity and Explanatory Power of Topological Vortex Theory (TVT)
3.Dimensionality Reduction for Explaining Complex Phenomena
TVT unifies vortex phenomena from galactic scales to quantum scales as macroscopic manifestations of the same topological mechanism. For instance, gravitational fields correspond to vortex density distributions, and geometric tension is equivalent to the energy-momentum tensor in Einstein's field equations. This cross-scale simplification avoids the redundancy of multiple coexisting theories, conforming to the philosophical basis of...
The Simplicity and Explanatory Power of Topological Vortex Theory (TVT)
I. Introduction
Topological Vortex Theory (TVT) profoundly describes the connection between time and space by conceptualizing space as an ideal fluid, introducing the concept of topological phase transitions, and focusing on the topological properties and spatial structure of spacetime vortices.
The mathematical self-consistency of TVT stems from its foundation in the axiomatic system of topology, while its abstraction and cross-scale unification circumvent the limitations of traditional...
Topological Vortex Space-Time Ontology (TVSTO)
V. Conclusion
By redefining the nature of spacetime, TVSTO provides a theoretical framework for modern physics that combines innovativeness with explanatory power. Its core contributions lie in:
5.1 Paradigm Innovation: Replacing traditional particle or field-based models with topological fluid dynamics, it treats spacetime as a dynamic vortex network, unifying the geometric descriptions of quantum mechanics and general relativity.
5.2 Problem-Solving Capability: It successfully explains...
Topological Vortex Space-Time Ontology (TVSTO)
4.2 Experimental Verification:
4.2.1 Observation of Optical Skyrmions: The topological structures of optical vortices observed experimentally (e.g., vortex phase singularities) highly coincide with the geometric characteristics of the vortex network predicted by TVSTO. Measurements of their winding numbers support the theory's non-local correlation model.
4.2.2 Superfluid Vortex Experiments: The quantized vortex circulation behavior observed in ultra-cold superfluids is consistent with...
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