Simulating Curvature-Based Cosmology Without Particles

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.

Modern cosmological simulations are rooted in particles: baryons, dark matter particles, and neutrinos acting under gravity and evolving through time. But what if the foundational substance of the universe isn’t particles at all, but geometry?

This is the premise of Tensional Geometry Cosmology (TGC), a framework where curvature—not mass—is the driving force of structure, motion, and expansion. What would simulations look like if they were built on pure spacetime dynamics instead of matter?

The Goal: Simulate Geometry Alone

A TGC-based simulation does not require particles. Instead, it models how regions of spacetime:

• Bend in response to internal tension (CLSG)
• Stabilize into persistent shapes (CAH)
• Propagate curvature inertia after interaction (ICH)
• Flatten outward at edges (EGA)

Structure emerges not from collisions of particles, but from interference and reinforcement of curvature fields.

How It Might Work

Replace “mass points” with curvature nodes that:

• Interact through field tension instead of Newtonian gravity
• Create zones of reinforcement when curvature overlaps
• Dissipate tension over time to mimic cosmic acceleration

This results in:

• Filaments and halos forming naturally from stress networks
• Black hole analogues emerging from maximum curvature lock-in
• Galaxy-like nodes stabilized at the intersections of tension arcs

What We’d Expect to See

• Cosmic web emergence from seed curvature, no matter needed
• Stable halo-like forms with no mass source at the center
• Wavefront interactions shaping voids and walls
• Expansion from geometric flattening, not energy fields

“Wherever geometry folds, galaxies bloom.”

Advantages of the Curvature Model

• Eliminates reliance on undetected particles
• Can reproduce lensing, structure, and halo dynamics
• Bridges classical relativity and large-scale cosmology with elegant equations

The Future of Simulations?

If TGC is correct, future simulators may model the universe not as a dance of particles, but as a living diagram of tension — a vibrating shape-space where form arises from the interplay of curvature alone.

And if we can simulate that… we may come closer to the true shape of existence itself.