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.
English
Arabic
French
Spanish
Portuguese
Deutsch
Turkish
Dutch
Italiano
Russian
Portuguese (Brazil)
Greek
简体中文
日本語
한국어
繁体中文