Building the numerical medium and testing its stability, propagation behavior, and continuum-scale properties.
Programme Overview
This program constructs the Graviton Mesh as an organized collective phase of Harrison-Knot populations. The immediate objective is to establish a reproducible numerical background on which particle, gravity, transport, and measurement calculations can be performed.
Immediate Milestone
Complete the first production-quality Mesh construction at N = 64 and validate it against an independent N = 96 run.
Active Objectives
Construct a stable bonded Graviton Mesh.
Measure long-time background stability.
Test transverse and longitudinal wave propagation.
Establish the continuum limit across increasing resolution.
Validate boundary conditions and conservation diagnostics.
Produce a reproducible numerical Mesh configuration for later programs.
Evidence Trail
This ledger records the mathematical, computational, conceptual, and numerical work already completed within this programme.
Master displacement and phase equations established.
Elastic and coherent sectors identified.
Baseline lattice and continuum parameters defined.
Numerical workflow designed around MOOSE and Python.
Resolution-validation program specified.
Energy, topology, and propagation diagnostics identified.
Shared Mathematical Foundation
The master Lagrangian and baseline displacement, phase, interaction, and conservation equations are already established. The work on this page concerns solving, validating, extending, and testing their consequences in this specific physical sector.
Active Research
Successful derivations, failed simulations, replications, corrections, and falsifying evidence all belong in the evidence trail.
