Topological Vortex Theory and Its Application Paradigm in Climate Systems (2)

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2. The Theoretical Core of TVT: The Nature of Spacetime and Unification of Quantum Gravity

2.1 Vortex Network Model of Spacetime

TVT abandons the traditional concept of continuous spacetime, proposing that the essence of spacetime is a dynamic, discrete topological vortex network. Each vortex unit possesses intrinsic topological degrees of freedom (e.g., winding numbers, linking numbers), and their microscopic configurations emerge as macroscopic spacetime geometry through self-organization and interaction. This model relates the curvature tensor in Einstein's field equations to the topological flow of the vortex network, thereby recovering general relativity in the classical limit.

2.2 Vortex Formulation of Quantum Gravity

At the quantum level, TVT proposes that the superposition, entanglement, and topological phase transitions of vortices correspond to the quantum behavior of the gravitational field. The interactions between vortices are described by dynamics in the form of gauge field theory, where the "contracted state," "expanded state," and "ground state" of vortices correspond to different energy levels and spacetime phases. This framework attempts to address the challenges of background dependence and non-locality in quantum gravity and provides new perspectives on problems such as black hole entropy and the origin of the universe.

3. TVT's Climatic Mechanism: From Cosmic Network to Earth System

3.1 Vortex Temporal States and Thermodynamic Effects

TVT defines three fundamental temporal states for vortices:

1)Ground State: The lowest energy stable state, corresponding to the equilibrium background of the climate system;

2)Contracted State: The vortex radius decreases, releasing energy, which may lead to local warming or intensification of high-pressure systems;

3)Expanded State: The vortex radius increases, absorbing energy, associated with cooling processes or the development of low-pressure systems. The distribution and transition of these three states within the global vortex network drive the redistribution of energy within the ocean-atmosphere-crust system.

3.2 Axial Tilt Coupling Model: Sun-Earth Vortex Interaction

TVT treats the Sun and Earth as nested vortex systems, with the relative deviation of their axial tilts constituting the direct dynamic source of climate change. The model indicates that even with constant Earth-Sun distance, fine-tuning of the axial tilt can still affect energy transport pathways by altering vortex entanglement intensity. This explains phenomena difficult to account for by traditional insolation theory, such as the long-term stability of the equator-pole temperature difference, temperature anomalies in high mountain regions, and certain rapid climate oscillations in geological history.

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