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) itself is a developing physical hypothesis. Its core premises and mathematical formalism have not yet...
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 stability and interactions of topological defects.
3) New particle forms: Topological molecular states...
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," potentially manifesting as an elementary particle;
2) Quantized circulation: Stable flow around the...
A Mathematical and Physical Analysis On the Origin of Objects (or Matters) in Space (2)
2. Critique of Theories that Mystify the Origin of Matter
2.1 Characteristics of Common Mystifying Theories
1) Creation ex nihilo: Asserts that matter can arise from absolute "nothingness" (non-quantum vacuum) via divine or spiritual will, violating all known conservation laws.
2) Non-material consciousness creationism: Posits consciousness or spirit as primary, with matter as its projection or condensation, but fails to specify the coupling mechanism between consciousness and physical...
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 falsifiability and mathematical foundation. Subsequently, within the physical picture of TVT, we demonstrate that...
Topological Vortex Theory and Its Applications in Artificial Intelligence (5)
5. Conclusion
As a novel modeling framework based on spacetime dynamic networks, Topological Vortex Theory not only provides more biologically plausible learning and memory mechanisms for artificial intelligence but also offers innovative perspectives for understanding spacetime, gravity, and quantum phenomena. Its interdisciplinary nature demonstrates the potential to unify the dynamics of complex systems with the laws of fundamental physics, promising to catalyze breakthrough progress at...
Topological Vortex Theory and Its Applications in Artificial Intelligence (4)
3. Interdisciplinary Application Prospects
3.1 Applications in the Field of Artificial Intelligence
TVT provides a dynamic architecture for next-generation AI systems that more closely resembles biological intelligence, showing particular potential in adaptive learning, multimodal understanding, creative problem-solving, and uncertain decision-making. Its self-organizing and nonlinear characteristics are also expected to promote the autonomous evolution of strong AI in complex environments....
Topological Vortex Theory and Its Applications in Artificial Intelligence (3)
2.5 Self-Organization and Adaptive Learning
Vortex interactions in TVT involve energy transfer and topological reconstruction, a process mappable to the self-organizing optimization of neural networks. The system can autonomously discover the latent structures of data through dynamic adjustments of the vortex field, enabling efficient learning under unsupervised or semi-supervised conditions.
2.6 Quantized Probability and Decision Uncertainty
TVT interprets quantum superposition states as...
Topological Vortex Theory and Its Applications in Artificial Intelligence (2)
2. The Core Connotation of Topological Vortex Theory
2.1 Spacetime Dynamic Network Model
TVT constructs dynamic networks using spacetime vortices as fundamental units, simulating information flow in complex systems through the generation, evolution, and interaction of vortices. In AI, this model can capture the nonlinear dynamics of neuronal population activation and inhibition, particularly suitable for simulating "insight" phenomena in creative thinking—the sudden reorganization of...
Topological Vortex Theory and Its Applications in Artificial Intelligence (1)
Abstract
Topological Vortex Theory (TVT) is an interdisciplinary theoretical framework based on a spacetime dynamic network model. It aims to simulate and understand the dynamic behaviors of complex systems through the topological evolutionary characteristics of vortices. This theory not only provides a mechanism for information processing and learning in artificial intelligence (AI) that more closely resembles biological neural networks, but also offers novel modeling perspectives for...
Topological Vortex Theory and Its Application Paradigm in Climate Systems (4)
6. Conclusion
By reconstructing the nature of spacetime, Topological Vortex Theory proposes a new paradigm for the unification of quantum gravity based on a dynamic vortex network. Its extension to climate systems suggests that topological interactions on a cosmic scale may profoundly influence the evolutionary path of planetary climate. The development of TVT reflects the contemporary scientific trend towards "grand unification" and "deep interdisciplinary integration," and is expected to...
Topological Vortex Theory and Its Application Paradigm in Climate Systems (3)
3.3 Paleoclimate and Simulation Evidence for Energy Redistribution
Numerical simulations based on coupled fluid dynamics and topological networks show that vortex axial tilt deviations can significantly alter planetary-scale circulation structures. High-frequency climate fluctuations detected in paleoclimate proxy records (e.g., ice cores, sediment sequences) show statistical correlations with the vortex state transition periods predicted by TVT, providing a new physical paradigm for...
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