Time Dilation (Elongation)

Spatial Layer

Table of Contents

Time Elongation

Time Dilation or Elongation is just the opposite of Length Contraction.

Both are caused by the inverse relationship of timespace (mos1) and spacetime (mos3) in quantity and quality through displacement and rotation from the 1st and 2nd Rules of Motion.

1. Displacement of the Aetherspace (aetherspace: macro-aetherspace)

This is the quantitative difference between matter (aetherspace) and the aether of empty space that it occupied and displaced.

A fast body moving at 100 meters per second has occupied and displaced 100 meters of space.
A slow body moving at 1 meter per second has occupied and displaced 1 meter of space.

The time of the fast body is slower because of the inverse relationship between the timespace of the body (which is in the aetherspace of the body) and the aether that it is displacing.

\Delta t = \Delta t_0 \cdot \frac{\rho_{st}}{\rho_0} \cdot \frac{1}{\sqrt{1 - \frac{\omega^2}{\omega_c^2}}}

$\omega^2$ is the aetherspace vibration relative to the aether (dark matter). This is the aether displaced by the body
$\omega_c^2$ is the aether vibration relative to the macro-aetherspace (dark energy). This is the limit imposed by dark energy. Spinning above this would make the body cross dimensions by jumping the macro-aetherspace wave.

Blueshift and Redshift of Time

Descartes first exposed this inverse relationship through colors and light speed, by the positions of colors in the rainbow and prism.

Red photons travel fast through glass but spin slowly, causing a dilation of the wavelength (redshift)
Blue photons travel slowly but spin rapidly, causing a contraction of the wavelength (blueshift)

The decider for what colors emerge out of a prism is the matter of aetherspace of that glass.

This aetherspace in the macro view is dark energy, which sets the universal speed limit for space particles at 300,000 km/s

Relative Speed versus Relational Vibration

Einstein’s Relativity pins time dilation on relative speeds whereas Cartesian physics argues that relative speeds are actually caused by relational spins or frequencies of the aetherspace.

This is why Cartesian physics allows for teleportation via spin changes—something impossible under relativity which has no concept of the macro-aetherspace (dark energy wave)

2. Rotation of the Aetherspace (aetherspace: aether)

This is the qualitative difference between matter (aetherspace) and the aether of empty space that it occupies.

Strong gravity means a high density of aether (‘warping’ of spacetime in Einstein lingo)
Weak gravity means a low density of aether (‘flat’ spacetime)

We add this to the displacer:

\Delta t' = \frac{\Delta t}{\sqrt{1 - \frac{1}{c^2}\left(\frac{GM}{r} + \frac{3GML^2}{c^2 r^3}\right) \cdot 2}}

The spin term exposes a relational density difference.

We physicalize the vibrations:

\Delta t = \Delta t_0 \cdot \underbrace{\left(1 - \frac{GM}{rc^2}\right)}_{\text{density lever}} \cdot \underbrace{\frac{1}{\sqrt{1 - \frac{\omega^2}{\omega_c^2}}}}_{\text{spin lever}}

Example: GPS satellite (GPS Block IIF orbit):

Measure	Data
Orbital radius	~26,560 km above Earth’s center
Orbital velocity	~3.87 km/s
Earth mass	5.972 × 10²⁴ kg
G	6.674 × 10⁻¹¹
c	299,792 km/s

Step 1 — Density lever

We set $\rho_{st}/\rho_0 = 1 - GM/rc^2$ .

Plug in Earth’s GM = 3.986 × 10¹⁴ m³/s², orbital radius r = 26,560,000 m, c = 2.998 × 10⁸ m/s.

This gives $1 - 1.672 \times 10^{-10}$ , which is just barely below 1 – the satellite is in a slightly thinner medium than Earth’s surface. The density lever pulls $\Delta t$ slightly down (clock runs faster).

Step 2 — Spin lever

Orbital velocity v = 3,874 m/s maps to $\omega/\omega_c = v/c = 1.292 \times 10^{-5}$ .

Squaring that gives $1.67 \times 10^{-10}$ , so $\sqrt{1 - \omega^2/\omega_c^2} \approx 1 - 8.35 \times 10^{-11}$ .

The denominator is just barely below 1, so dividing by it nudges $\Delta t$ slightly up (clock runs slower).

Step 3 — Combine

Multiply both corrections together. The density effect is about 2× larger than the spin effect, so the net result is $\Delta t < \Delta t_0$ — the satellite clock runs faster than Earth’s.

Step 4 — Convert to μs/day

One day = 86,400 seconds. The net fractional difference × 86,400 s × 10⁶ gives the clock gain in microseconds per day.

The density lever contributes roughly −167 μs/day (clock faster, because low spacetime density at altitude lets timespace vibrate more freely).

The spin lever contributes roughly +7.2 μs/day (clock slower, because orbital motion is a redshift of timespace).

The density effect dominates, giving a net of about +38 μs/day faster — which matches the GR result almost exactly.

The small remaining gap comes from the density lever approximation.

GR uses $\sqrt{1 - 2GM/rc^2}$ exactly, while the fixed Cartesian equation uses $1 - GM/rc^2$

In low aether density like Earth orbit, they agree to better than 99.9%.

Near a black hole they would diverge — our framework would make a different prediction than GR, which could be tested independently.