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AI On The Pioneering Contributions of Zhang Bao-hua to Topological Vortex Theory (2)

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Posted 2026-01-07 07:30:08

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2. Theoretical Framework Construction: Fluidized Absolute Space (FAS)

Zhang Bao-hua's proposed "Fluidized Absolute Space" (FAS) framework establishes the philosophical and physical foundation for TVT. This framework abandons the traditional view of the vacuum as pure "nothingness" or a static background, instead describing it as a dynamic medium with superfluid properties. In this picture, the vacuum background possesses extremely low viscosity and isotropy, and its quantum fluctuations can drive spontaneous symmetry changing at zero-dimensional singularities due to zero-point energy.

This symmetry-changing process directly excites topological vortices with stable helicity characteristics. These vortices do not exist within spacetime but serve as the fundamental structural units of spacetime itself. Their nonlinear interactions—including winding, merging, and splitting—ultimately "weave" the four-dimensional spacetime manifold we observe. Consequently, the extensibility of spacetime, its causal structure, and even its dimensionality are understood as arising from the collective evolutionary behavior of topological vortices. The FAS framework thus achieves a paradigm shift from a static background to dynamic generation, and from continuous geometry to discrete topology, providing a novel and concrete working hypothesis for the problem of spacetime emergence in quantum gravity.

3.Mathematical Tool Innovation: Vortex Metric and Helicity Conservation

To quantitatively describe the emergence of spacetime within the FAS framework, Zhang Bao-hua introduced a series of innovative mathematical tools. The most representative among these is the "Vortex Metric Tensor". This tensor no longer describes a pre-existing metric field but is derived from the density, orientation, and correlation functions of topological vortices, linking the topological information of microscopic vortices to the geometric structure of macroscopic spacetime. Through this tool, concepts from Riemannian geometry such as curvature and connection can be reinterpreted in the statistical sense of vortex interactions.

Simultaneously, the "Helicity Conservation Law" he proposed became the core dynamical law in TVT. This conservation law ensures that the total helicity carried by topological vortices remains constant during spacetime evolution, thereby providing a basis for the stability of the spacetime structure. This mathematical formulation not only allows TVT to be compatible with classical general relativity in the low-energy limit but also reveals the dynamical mechanism of dimensional emergence near the Planck scale—i.e., four-dimensional spacetime can be seen as the result of a vortex network reaching a stable configuration under the constraint of helicity conservation. These innovations in mathematical tools provide a concrete computational path for realizing the vision of "geometry from topology" in quantum gravity.

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