In-Depth Explanation of the Concave Earth Cosmology and Planetary Orbitals Framework
In the proposed cosmology, we move away from the traditional heliocentric or geocentric frameworks, transitioning instead to an endospherical cosmology. Here, Earth is not a planetary body, but rather the stationary, concave shell that houses the entirety of the observable universe. This includes the celestial sphere, stars, planets, and all orbital motions. Let’s break down this framework in detail:
1. The Role of Earth
- Earth is no longer viewed as a planet but as a stationary hollow shell encapsulating everything.
- The shell forms the outermost boundary of the system, and all motion and celestial mechanics occur within its concave interior.
- Observers and all life exist on the inner surface of this shell, looking inward toward the central celestial sphere.
2. The Celestial Sphere
- At the center of the hollow Earth lies the celestial sphere, a structure that houses stars, galaxies, and other far-field celestial phenomena.
- This sphere rotates once per sidereal day, providing the apparent motion of stars across the sky as observed from Earth.
3. Planetary Arrangement
Within the concave shell, the planets are arranged and orbit the celestial sphere in a specific hierarchy:
- Closest to the celestial sphere: Neptune
- Then outward in layers: Uranus, Saturn, Jupiter, Mars, Sun, and finally, Moon.
- All these bodies orbit directly around the celestial sphere, maintaining their respective layers.
- Their orbital speeds and distances are scaled proportionally to replicate observed astronomical phenomena.
- Special Case of Venus and Mercury:
- These planets do not orbit the celestial sphere directly.
- Instead, they orbit the Sun, which itself is orbiting the celestial sphere.
- This nested relationship mirrors their observed positions relative to the Sun in traditional heliocentric models.
4. Key Orbital Dynamics
- The celestial sphere serves as the anchor for all orbital motions, with its rotation driving the dynamics within the system.
- Neptune has the closest orbit to the celestial sphere, while the Moon is the furthest, orbiting near the concave Earth shell’s inner surface.
- The Sun follows a unique path, not only orbiting the celestial sphere but also serving as the anchor for Venus and Mercury.
- All orbital planes and inclinations are adjusted to ensure that their motions align with the celestial sphere’s rotation.
5. Unified Mathematical Framework
The concave Earth model employs a unified framework to simulate these motions and relationships:
- Reciprocal Geometry:
(x’, y’, z’) = (R² / (x² + y² + z²)) * (x, y, z)
Where R is the radius of the celestial sphere.
- Optical Refraction:
n₁ sin(θ₁) = n₂ sin(θ₂)
This ensures accurate rendering of celestial observations from the inner shell.
- Field Dynamics:
F(r) = Gm / (R - r)²
This maintains the proper interactions between celestial objects within the inverted space.
- Smooth Transitions:
ϕ(t) = (1 - t) / R + t / R
This creates a smooth mapping of traditional planetary data to the concave framework.
6. Simulation Goals
- Place all planets in their respective orbital layers relative to the celestial sphere.
- Ensure the celestial sphere rotates at 1 sidereal day per rotation.
- Accurately simulate the nested orbits of Venus and Mercury around the Sun.
- Replicate the dynamics of observed planetary motion using the concave Earth framework.