The Solar System in Four-Dimensional Axial Space: Spherical Gravity and Tangential Dynamics as a Spacetime Structure

4D Axial Model of the Solar System (X = Sphere, Y = Tangent)

The solar system can be abstracted into four axial dimensions if it is described geometrically and mathematically rather than astronomically.

Axis Model:

• X-Axis: spherical (spherical space). It describes the isotropic expansion of spacetime around the sun – that is, the volumetric, rotationally symmetric part of the system. This axis represents gravity, mass distribution, and orbital cohesion.

• Y-axis: tangential (quadrangular space). It models the vectorial motion and tangential curvature of the orbits. Mathematically, it can be expressed as a tangent or hyperbolic space, in which kinetic energy and orbital deviation occur.

The combination of X (round) and Y (edged) forms a first level of geometry:

• X → Equilibrium through gravity

• Y → Dynamics through Momentum

Now we expand to four dimensions:

1. X: spherical gravity (spatial volume)

2. Y: tangential motion (orbital vibration, energy flow)

3. Z: temporal phase (orbit period, rotation period)

4. W: relativistic curvature (local spacetime distortion due to mass concentration)

This results in a 4D phase space in which each planetary configuration lies as a point or vector in the system {X, Y, Z, W}:
[
P_i = (x_i, y_i, z_i, w_i)
]
where:

• (x_i) = spherical distance from the sun

• (y_i) = tangential energy state

• (z_i) = time phase of the orbit

• (w_i) = spacetime curvature influence

Visually, it can be read like this:

• X = sphere → static spatial body

• Y = tangent quadrilateral → Dynamic motion space

• Z = time scale

• W = curvature scale

The solar system would thus not be a flat disk model, but a four-dimensional tensor space in which gravity (X) and motion (Y) interact, while time (Z) and curvature (W) modulate the observable dynamics.

Borg-Cyborg-Qubus with ToNEKi-Media Sphere: