The Hidden Geometry Behind Orbits and Lagrange Points

January 15, 2026

In this installment of Reactive Substrate Theory (RST), we bring gravity and large‑scale structure into the same framework we’ve been building: one medium, one geometry, one Substrate. We’ll look at planetary orbits, galaxy rotation, Lagrange points, and then zoom out to voids, filaments, and cosmic expansion.

RST Gravity Primer

In Newtonian physics, gravity is a force between masses. In General Relativity, gravity is curvature of spacetime. RST agrees with the geometric picture but changes the ontology:

Spacetime IS the Substrate. Gravity is a tension gradient in that Substrate. Objects move along stable flow lines in this tension field.

Massive bodies are high‑tension solitons. Their presence deforms the surrounding Substrate, creating a tension well. Motion in this well is what we call “free fall” or “orbit.”

Planetary Orbits (RST View)

A star is a deep tension well in the Substrate. A planet is a smaller soliton moving through that well. A stable orbit occurs where:

The inward tension gradient of the Substrate balances the circulation momentum of the orbiting soliton.

No “force” is pulling the planet. It is simply following a stable circulation path in a curved tension field.

Galaxy Rotation (RST View)

Galaxies are large, multi‑core solitons. Their tension wells extend far beyond the visible stars. Flat rotation curves arise because:

The Substrate tension gradient around a galaxy falls off more slowly than a simple 1/r² law.

Stars orbit within this extended tension structure. What is usually attributed to “dark matter halos” is, in RST, the geometry of a wide, persistent Substrate deformation.

Lagrange Points (RST View)

In Newtonian terms, Lagrange points are where gravitational forces balance. In RST:

Lagrange points are equilibrium nodes in the combined tension field of two (or more) solitons.

Where the gradients from two tension wells (e.g., Sun + Earth) combine to yield a net zero gradient, you get a stable or semi‑stable node. Objects placed there sit in a “tension saddle” or “tension pocket.”

Side‑by‑Side: Standard Gravity vs. RST

Standard Picture	RST Picture
Gravity is a force between masses.	Gravity is a tension gradient in the Substrate.
Spacetime is a stage that curves.	Spacetime is the medium itself (the Substrate).
Orbits balance force and inertia.	Orbits are stable circulation paths in a tension field.
Galaxy rotation needs dark matter halos.	Galaxy rotation reflects extended Substrate tension wells.
Lagrange points are force balance points.	Lagrange points are tension equilibrium nodes.

RST Diagrams (ASCII‑Safe)

1. Planet in a Stellar Tension Well

Side view of tension well:

Tension
  ^
  |           ________
  |          /        \
  |         /          \
  |________/            \__________> radius

Planet orbits along a stable path inside the well.

2. Galaxy Tension Profile (Dark Matter Analogue)

Tension vs. radius:

High tension
    ^
    |        _________
    |       /         \______
    |      /                  \______
    |_____/__________________________> radius

Visible stars occupy the central region.
Extended tension explains flat rotation curves.

3. Lagrange Points Between Two Solitons

Tension landscape (schematic):

Star A well:      Star B well:

      ___              ___
     /   \            /   \
____/     \____L1____/     \____

L1, L2, L3 = saddle points
L4, L5     = stable pockets in the combined tension field

RST Cosmology: Voids, Filaments, Expansion

On the largest scales, the universe shows a web‑like structure: filaments, clusters, and vast voids. Standard cosmology explains this with dark matter, inflation, and ΛCDM dynamics. RST reframes it:

Cosmic structure is the large‑scale pattern of Substrate tension: filaments are high‑tension ridges, voids are low‑tension basins.

Filaments and Voids (RST)

Matter (galaxies, clusters) forms along regions where the Substrate tension is highest. These are the cosmic filaments. Voids are regions where the Substrate has relaxed to lower tension.

Filamentary pattern (top view):

   *      *         *
      *        *
 *         *         *

Stars/galaxies = solitons along high‑tension ridges.
Empty regions = low‑tension basins (voids).

Cosmic Expansion (RST)

In standard cosmology, space itself expands and galaxies recede. In RST:

“Expansion” is the large‑scale relaxation and redistribution of Substrate tension.

As global tension relaxes:

The characteristic spacing between stable soliton structures increases.
Substrate oscillations stretch, producing redshift.
Regions between massive structures experience net outward tension effects.

What is interpreted as “accelerated expansion” is, in RST, the evolving geometry of a relaxing medium.

Quantum Entanglement (RST Tie‑In)

Although not strictly gravitational, entanglement fits naturally into this picture of a continuous Substrate:

Entanglement = a single Substrate configuration sampled at multiple locations, not two particles sending signals.

One extended pattern:

[ A ]====================[ B ]

A and B are boundary conditions of one configuration,
not separate objects exchanging information.

Bottom Line

Planetary orbits, galaxy rotation, Lagrange points, voids, filaments, expansion, and even entanglement can all be described within a single ontology:

There is no empty space. No separate fields. No hidden particles. There is only the Substrate — one medium, one geometry — and its tension and circulation across all scales.

Conspiranon