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The Simplicity and Explanatory Power of Topological Vortex Theory (TVT)

部落格 Literature

發表於 2025-10-11 06:46:25

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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 physical theories. Its core advantage lies in the topological thinking of "grasping the essence while downplaying the appearance."

II. The Simplicity of Topological Vortex Theory

Methodologically, TVT embodies adherence to the principle of simplicity, and its core logic can be summarized in the following three points:

1. Symmetry-Guided Physical Paradigm

TVT reconstructs the essence of spacetime as a dynamic network of topological vortices, explaining the emergence of complex structures through symmetry transitions rather than symmetry breaking. This framework abandons the complex assumptions of extra dimensions or supersymmetry found in traditional quantum gravity theories. Relying solely on the interaction of topological degrees of freedom (such as winding numbers, branch connections), it achieves a unified description of the microscopic structure of spacetime and macroscopic statistical effects. This pursuit of "simplicity and elegance in one" highly aligns with the scientific essence of "logical simplicity" proposed by Shen Jiaxuan.

2. Simplicity of Mathematical Tools

This theory derives the origin of spacetime through an ideal fluid model (unbounded, incompressible, zero viscosity), requiring only the core mechanism of topological phase transitions to explain vortex nucleation and quantum timing phenomena. Its mathematical framework involves only basic concepts like order parameters, free energy functionals, and phase singularities, avoiding controversial assumptions such as CP symmetry violation, reflecting a "Occam's Razor" tendency towards simplicity.

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