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Topological Vortex Space-Time Ontology (TVSTO)

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Posted 2025-10-10 07:33:21

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3.3 Symmetry Transition Theory:

Proposes higher-order symmetry groups G_n to describe the vortex self-organization process. System complexity is achieved through transitions in the order n of the symmetry group, rather than through traditional symmetry breaking. For example, the emergence of a superfluid vortex corresponds to a symmetry transition from G₂ to G₄.

These mathematical tools, validated through experiments (e.g., optical vortex interference experiments) and theoretical self-consistency (e.g., asymptotic compatibility with general relativity), provide a solid computational foundation for TVSTO.

IV. Theoretical Self-Consistency and Experimental Verification of TVSTO

The experimental verification and theoretical self-consistency of TVSTO are mainly reflected in the following aspects:

4.1 Theoretical Self-Consistency:

4.1.1 Compatibility with General Relativity: TVSTO reduces to the Einstein field equations in the weak-field limit. Its vortex metric tensor coincides with the Minkowski metric under flat spacetime conditions, ensuring continuity with the classical gravity domain.

4.1.2 Consistency with Quantum Mechanics: Quantum entanglement explained via the winding number conservation law shows no contradiction with Bell's inequality experimental results and can circumvent the measurement paradox in traditional quantum theory.

4.1.3 Completeness of the Mathematical Framework: The vortex nucleation model is compatible with the mathematical structure of topological field theories (e.g., Chern-Simons theory), and its symmetry transition theory also conforms to group theory constraints.

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