1. Cosmological Constant:
Application: The cosmological constant (Ξ) represents dark energy's role in cosmic expansion. According to the Omniverse-Origin Equation, Ξ must maintain a non-negative influence, ensuring continued expansion rather than collapse.
2. Einstein's Field Equations:
Application: These equations describe how matter and energy influence spacetime curvature. Applying the General-Origin Equation, the combined effects of matter, energy, and Ξ must result in a non-negative curvature, reflecting continuous, stable spacetime dynamics.
3. Friedmann Equation:
Application: Describes cosmic expansion based on density and curvature. With the Zero-Origin Equation, combining density and Ξ with neutral curvature ensures a positive expansion rate, supporting the ongoing, non-negative expansion of the universe.
4. Hubble's Law:
Explanation: Application: States that the velocity (v) at which a galaxy is receding is proportional to its distance (d). Applying the General-Origin Equation, this proportional relationship ensures that the rate of expansion remains consistent and non-negative, supporting continued cosmic growth.
5. Quantum Field Theory:
