How to Test the Tensional Geometry of the Universe

Cosmic Geometry Series | Published: April 2, 2025

Disclaimer:
The ideas presented in this document constitute a novel theoretical framework intended to stimulate discussion, investigation, and observational testing. These concepts have not yet been experimentally verified or peer-reviewed. Readers should approach this theory as exploratory cosmological hypotheses rather than established scientific fact.

If dark matter and dark energy are really just properties of spacetime geometry, as proposed by Tensional Geometry Cosmology (TGC), then we should be able to detect the geometry itself. Not with particle detectors — but with light, gravity, and precision mapping of the universe's deepest structures.

What TGC Predicts

The core models of TGC — including CLSG (Curvature-Linked Shadow Geometry), EGA (Edge Geometry Acceleration), ICH (Inertial Curvature Hypothesis), and CAH (Curvature Arch Hypothesis) — make bold claims:

That curvature alone can mimic mass (CLSG).
That acceleration comes from boundary relaxation, not force (EGA).
That curvature can persist through motion and collision (ICH).
That structure self-stabilizes via tension patterns (CAH).

So how do we test these ideas?

1. Search for Lensing Without Mass

If curvature alone can bend light, then we should find regions of gravitational lensing with little or no visible matter. These "ghost lens zones" could exist in:

The outskirts of galaxy clusters
Filaments of the cosmic web
Void boundaries and transition zones

2. Map Void Expansion Rates

EGA predicts that cosmic voids — the large, empty spaces between filaments — are expanding due to edge curvature relaxation. We should observe:

Higher-than-expected expansion velocities at void boundaries
Asymmetric growth patterns tied to tension release

3. Look for Curvature-Only Halos

CLSG and CAH suggest that some dark matter halos might form and persist without galaxies. These could be identified by:

Gravitational influence on nearby galaxies or light
Complete absence of detectable baryonic matter
Stability over long cosmological timescales

4. Simulate Curvature Fields

Using high-resolution cosmological simulations, we can:

Model curvature gradients without adding extra mass
Observe whether structure forms purely from geometric tension
Compare results to observed filament networks

5. Analyze Gravitational Wave Residue

According to ICH, curvature fields have inertia and can persist after massive events. Post-wave regions might show:

Residual curvature patterns detectable by future gravitational sensors
Offsets between energy release and geometric response

Instruments That Can Help

Vera Rubin Observatory (LSST) – Deep lensing surveys
Euclid & JWST – Mapping filaments and voids with extreme precision
LISA & BICEP3 – Tracking gravitational wave background & polarization

A New Way to Look

Tensional Geometry Cosmology doesn’t rely on discovering exotic particles. It relies on geometry — visible, testable, shape-based effects in the universe itself. If we stop looking for mass and start looking for tension, we may finally see what’s been hiding in plain sight.