Fractal and Evolution of Absolute Space
1. Mathematical Characteristics of Absolute Space
In Newtonian mechanics, absolute space is modeled as an ideal fluid with:
- Non-viscosity (frictionless): No frictional resistance, satisfying the irrotational condition of the Euler equations.
- Uniform incompressibility: Constant density, with volume unaffected by external forces.
- Isotropy: Physical properties symmetric in all directions.
2. Trigger Mechanism of Topological Phase Transition
- Symmetry changing: Isotropy is changed, leading to local curvature or directional preference, such as spacetime fluctuations during cosmic inflation.
- Energy density transition: A sudden change in vacuum energy density causes spacetime to shift from an "absolute" state to a dynamically evolving phase, analogous to phase transitions in condensed matter.
- Topological defect formation: Structures like cosmic strings or vortices may emerge during the phase transition, serving as geometric foundations for relative spacetime.
3. Mathematical Implementation Pathways
- Low-dimensional topology theory: Describes the transition from discrete to continuous space using functors (e.g., Ir functors), enabling topological reconstruction from absolute to relative space.
- Fractal evolution model: Topological Vortex Theory (TVT) proposes a fractal spacetime structure, where the uniformity of absolute space is replaced by hierarchical relativity after phase transition.
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