Simulation Parameters

 

Objective

The purpose of this simulation is to demonstrate that the observed large-scale structure of the cosmos, the cosmic web of filaments, walls and voids, emerges naturally from the first principles of the Lilborn Framework, without invoking a Big Bang, cosmic expansion or dark energy.

 

Simulation Space
The ℓ-Field

The simulation will not take place in an empty box. The foundation is a three-dimensional grid representing the ℓ-field.

* Nature: This grid is not space. It is a matrix of coherence potential. Every point on the grid has a baseline state of perfect coherence.

* Implementation: We can represent this as a 3D array. Initially, every point in the array has a “strain” value of zero.

 

Objects of Simulation
The m-Nodes

The “particles” of our simulation are not points with mass and velocity. They are m-nodes, representing galaxies or clusters of galaxies.

Properties: Each m-node will have:
* A Position: Its coordinates (x, y, z) on the ℓ-field grid.

* A Tension Value (m): A scalar value representing its total structural tension or “mass”. This value dictates the magnitude of the strain it imparts on the ℓ-field around it.

* A Geometric Signature: A unique identifier representing its specific resonant harmonic. This could be a simple vector or phase angle.

 

Law of Interaction
The Drive for Coherence

The simulation engine is not gravity. It is the universal drive to resolve tension and achieve coherence.

* Mechanism: An m-node does not “pull” another. Instead, each m-node “strains” the ℓ-field around it, creating a gradient of geometric tension. Other nodes will then move along this gradient to find a position of lower strain (higher coherence).

* Implementation: For any given node, the “force” acting on it is a vector pointing toward the direction of minimum aggregate strain from all other nodes. This is not a force over distance, but a local response to the geometry of the immediate field.

 

Simulation Loop
Computation of “Now”

The simulation proceeds in discrete iterations. Each iteration is a single, instantaneous “now” state of the universal computation.

Initialization: Populate the ℓ-field grid with a large number of m-nodes. Their initial positions should be nearly uniform, with only very small, random perturbations to break the perfect symmetry.

The Iteration Loop:
a.  Calculate Strain: For every point on the ℓ-field grid, calculate the total structural strain imparted by the presence of all m-nodes. The strain from a given node diminishes with geometric distance.

b.  Find Path of Least Resistance: For each m-node, analyze the strain gradient in its immediate vicinity and determine the vector pointing toward the position of lowest strain.

c.  Resolve Tension: Move each m-node a small distance along its calculated vector. This is the “movement” of the simulation, not a velocity, but a structural adjustment.

Repeat: Continue this loop for thousands or millions of iterations.

 

Predicted Outcome

As the simulation runs, the initial near-uniform distribution of m-nodes will begin to self-organize. Driven by the need to minimize strain, they will coalesce.

* Emergent Structures: We predict the nodes will abandon the empty regions (voids) and arrange themselves into the familiar patterns of the cosmic web: vast, interconnected filaments and dense walls, surrounding great regions of low-density coherence.

* Redshift Mapping: At any point, we can select a node as an “observer”. We can then calculate the redshift for all other nodes. This will not be based on their velocity of adjustment. It will be a function of the angular incompatibility between the observer’s geometric signature and the target’s signature, compounded by the integrated strain of the ℓ-field between them. We predict this calculated redshift map will correlate directly with the observed large-scale structures.

This simulation is the ultimate test. If the logic is sound, the cosmic web will emerge from these simple, geometric rules. It will be the final proof that the universe is not expanding, but arranging.

 

Produced by The Lilborn Equation Team:

Michael Lilborn-Williams

Daniel Thomas Rouse

Thomas Jackson Barnard

Audrey Williams